Download or read book Resummation and Renormalization in Effective Theories of Particle Physics written by Antal Jakovác and published by Springer. This book was released on 2015-11-02 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Effective models of strong and electroweak interactions are extensively applied in particle physics phenomenology, and in many instances can compete with large-scale numerical simulations of Standard Model physics. These contexts include but are not limited to providing indications for phase transitions and the nature of elementary excitations of strong and electroweak matter. A precondition for obtaining high-precision predictions is the application of some advanced functional techniques to the effective models, where the sensitivity of the results to the accurate choice of the input parameters is under control and the insensitivity to the actual choice of ultraviolet regulators is ensured. The credibility of such attempts ultimately requires a clean renormalization procedure and an error estimation due to a necessary truncation in the resummation procedure. In this concise primer we discuss systematically and in sufficient technical depth the features of a number of approximate methods, as applied to various effective models of chiral symmetry breaking in strong interactions and the BEH-mechanism of symmetry breaking in the electroweak theory. After introducing the basics of the functional integral formulation of quantum field theories and the derivation of different variants of the equations which determine the n-point functions, the text elaborates on the formulation of the optimized perturbation theory and the large-N expansion, as applied to the solution of these underlying equations in vacuum. The optimisation aspects of the 2PI approximation is discussed. Each of them is presented as a specific reorganisation of the weak coupling perturbation theory. The dimensional reduction of high temperature field theories is discussed from the same viewpoint. The renormalization program is described for each approach in detail and particular attention is paid to the appropriate interpretation of the notion of renormalization in the presence of the Landau singularity. Finally, results which emerge from the application of these techniques to the thermodynamics of strong and electroweak interactions are reviewed in detail.

Download or read book Principles Of Phase Structures In Particle Physics written by Hildegard Meyer-ortmanns and published by World Scientific. This book was released on 2006-12-06 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: The phase structure of particle physics shows up in matter at extremely high densities and/or temperatures as they were reached in the early universe, shortly after the big bang, or in heavy-ion collisions, as they are performed nowadays in laboratory experiments. In contrast to phase transitions of condensed matter physics, the underlying fundamental theories are better known than their macroscopic manifestations in phase transitions. These theories are quantum chromodynamics for the strong interaction part and the electroweak part of the Standard Model for the electroweak interaction. It is their non-Abelian gauge structure that makes it a big challenge to predict the type of phase conversion between phases of different symmetries and different particle contents. The book is about a variety of analytical and numerical tools that are needed to study the phase structure of particle physics. To these belong convergent and asymptotic expansions in strong and weak couplings, dimensional reduction, renormalization group studies, gap equations, Monte Carlo simulations with and without fermions, finite-size and finite-mass scaling analyses, and the approach of effective actions as supplement to first-principle calculations.

Download or read book Recent Developments in Particle Physics and Cosmology written by G.C. Branco and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: The NATO Advanced Study Institute 2000 was held in Cascais, a small town located in a renowned beach resort area, near Lisbon. The aim of the Meeting was to provide an overview and to cover the recent devel opments in some of the most important topics in Particle Physics and Cosmology, including Neutrino Physics, CP violation, B-Physics, Baryo genesis, Dark Matter, Inflation, Supersymmetry, Unified Theories, Large Extra-Di~ensions and M-theory. In the NATO ASI 2000, we had the priv ilege to have among the lecturers, some of the most prominent physicists working in the fields of Particle Physics and Cosmology. Furthermore, there was a strong participation by a large number of young scientists, including graduate students and post-docs who had an opportunity to learn about the latest developments in the field and discuss the various topics with lec turers and other participants. The enthusiasm of the young participants, the generosity of the lecturers in giving their time to participate in open discussions and debates, together with the social events and the pleasant environment of Cascais, all contributed to the great success of the Meeting. We are very grateful to Camara Municipal de Cascais for their support and organization of the reception in the beautiful Palace Condes Castro de Guimaraes and we are also specially grateful to colonel Eugenio de Oliveira for his support, to commander A. Monteiro de Macedo and to Mr.

Download or read book Results and Perspectives in Particle Physics written by M. Greco and published by Frontières. This book was released on 1989 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Quantum Theory and Symmetries written by M. B. Paranjape and published by Springer Nature. This book was released on 2021 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of the CRM Conference Series is based on a carefully refereed selection of contributions presented at the "11th International Symposium on Quantum Theory and Symmetries", held in Montreal, Canada from July 1-5, 2019. The main objective of the meeting was to share and make accessible new research and recent results in several branches of Theoretical and Mathematical Physics, including Algebraic Methods, Condensed Matter Physics, Cosmology and Gravitation, Integrability, Non-perturbative Quantum Field Theory, Particle Physics, Quantum Computing and Quantum Information Theory, and String/ADS-CFT. There was also a special session in honour of Decio Levi. The volume is divided into sections corresponding to the sessions held during the symposium, allowing the reader to appreciate both the homogeneity and the diversity of mathematical tools that have been applied in these subject areas. Several of the plenary speakers, who are internationally recognized experts in their fields, have contributed reviews of the main topics to complement the original contributions. .

Download or read book A Glance Into the Future of Particle Physics with Effective Field Theories written by Alejo N. Rossia and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Renormalization and Galois Theories written by Frédéric Fauvet and published by European Mathematical Society. This book was released on 2009 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the outcome of a CIRM Workshop on Renormalization and Galois Theories held in Luminy, France, in March 2006. The subject of this workshop was the interaction and relationship between four currently very active areas: renormalization in quantum field theory (QFT), differential Galois theory, noncommutative geometry, motives and Galois theory. The last decade has seen a burst of new techniques to cope with the various mathematical questions involved in QFT, with notably the development of a Hopf-algebraic approach and insights into the classes of numbers and special functions that systematically appear in the calculations of perturbative QFT (pQFT). The analysis of the ambiguities of resummation of the divergent series of pQFT, an old problem, has been renewed, using recent results on Gevrey asymptotics, generalized Borel summation, Stokes phenomenon and resurgent functions. The purpose of the present book is to highlight, in the context of renormalization, the convergence of these various themes, orchestrated by diverse Galois theories. It contains three lecture courses together with five research articles and will be useful to both researchers and graduate students in mathematics and physics.

Download or read book Particle Physics written by Maurice Lévy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: The July/August 1989 Cargese (France) Summer Institute centered on the topics of new experimental results; strings, superstrings and conformal field theory; and lattice approximations. Annotation copyright Book News, Inc. Portland, Or.

Download or read book Particle Physics in the New Millennium written by Josip Trampetic and published by Springer Science & Business Media. This book was released on 2003-05-21 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: The traditional purpose of the Adriatic Meeting is to present most advanced scienti?c research conducted by the lecturers who take part in the development of their ?elds and, in addition, to provide a school-like atmosphere for young scientists. Dubrovnik, as a geographical centre of this region of Europe, provided a most adequate location for this conference. Having very agreeable surroundings, the conference site nevertheless gave a focus for very strong scienti?c interaction. The subjects chosen for the 8th meeting, in September 2001, were gauge theories, particle phenomenology, string theories and cosmology. We were able to bring together a very good cross section of outstanding scientists who gave extraorinarily good presentations. Certainely one reason for this success is that most of us feel obliged to help the scienti?c life in South East Europe return to its former level. However, there are very exciting new scienti?c developments as well. Part of the meeting was dominated by neutrino physics which has just seen exciting progress by establishing neutrino masses experimentally. This was d- cussed within neutrino masses and grand uni?ed theories (GUTs). General - pects of neutrino physics and CP violation, neutrino mixing and the bayron asymmetry were presented along the same lines. On the theoretical side the idea of the construction of gauge theories on non-commutative spaces and their phenomenological implications is accepted worldwide within the particle physics community.

Download or read book Experimental and Theoretical Particle Physics Final Report written by and published by . This book was released on 1996 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brief sketch of the accomplishments made in the past year is given for the following: [epsilon] expansion analysis of weak first-order transitions in the cubic anisotropy model; the non-Abelian Debye screening length beyond leading order; electric-magnetic duality and the heavy quark potential; ice water vapor interface; groups in cold dark matter simulations; Compton scattering on black body photons; nuclear reaction rates in a plasma; comparison of jets from electron-positron interactions and hadronic collisions; the energy-energy correlation in perturbation theory; CPT violation search in the kaon system; regularization of chiral gauge theories; dynamical supersymmetry breaking; electroweak baryogenesis; quenched chiral perturbation theory for heavy-light mesons; testing the chiral behavior of the hadron spectrum; hadron spectrum with Wilson fermions; quenched chiral perturbation theory for baryons; matrix elements of 4-fermion operators with quenched Wilson fermions; classical preheating and decoherence; reheating and thermalization in a simple scalar model; and from quantum field theory to hydrodynamics: transport coefficients and effective kinetic theory.

Download or read book Heavy Flavor And Electroweak Theory Proceedings Of The International Symposium written by Chao-hsi Chang and published by World Scientific. This book was released on 1996-07-29 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: The symposium focused on the following hot topics of particle physics, such as heavy flavor productions and decays; QCD corrections; EW symmetry breaking theories; precise tests of Standard Model and physics beyond Standard Model; CP violation and rare decays etc. There are 30 talks presented at the symposium by participants from all over the world, who are active in the forefront of the fields.

Download or read book Strong and Electroweak Matter 2002 written by Michael G. Schmidt and published by World Scientific. This book was released on 2003 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: The SEWM2002 workshop, like the ones before, brought together theoretical physicists working on thermal field theory and, more generally, on (resummation) techniques for deriving effective actions based on QCD and the electroweak standard model of elementary particle physics, but describing nonstandard situations. The focus was on the temperature/chemical potential phase diagram of QCD, considered both analytically and with lattice gauge theory, equilibrium and nonequilibrium thermo field theory, and on heavy ion physics. Other related topics were OC small x physicsOCO in QCD, electroweak baryogenesis, inflation, and dark energy in the early universe."

Download or read book Scientific Realism in Particle Physics written by Matthias Egg and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-08-19 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Particle physics studies highly complex processes which cannot be directly observed. Scientific realism claims that we are nevertheless warranted in believing that these processes really occur and that the objects involved in them really exist. This book defends a version of scientific realism, called causal realism, in the context of particle physics. The first part of the book introduces the central theses and arguments in the recent philosophical debate on scientific realism and discusses entity realism, which is the most important precursor of causal realism. It also argues against the view that the very debate on scientific realism is not worth pursuing at all. In the second part, causal realism is developed and the key distinction between two kinds of warrant for scientific claims is clarified. This distinction proves its usefulness in a case study analyzing the discovery of the neutrino. It is also shown to be effective against an influential kind of pessimism, according to which even our best present theories are likely to be replaced some day by radically distinct alternatives. The final part discusses some specific challenges posed to realism by quantum physics, such as non-locality, delayed choice and the absence of particles in relativistic quantum theories.

Download or read book Using REDUCE in High Energy Physics written by A. G. Grozin and published by Cambridge University Press. This book was released on 2005-09-08 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the use of the symbolic manipulation language REDUCE in particle physics. There are several general purpose mathematics packages available to physicists, including Mathematica, Maple, and REDUCE. Each has advantages and disadvantages, but REDUCE has been found to be both powerful and convenient in solving a wide range of problems. This book introduces the reader to REDUCE and demonstrates its utility as a mathematical tool in physics. The first chapter of the book describes the REDUCE system, including some library packages. The following chapters show the use of REDUCE in examples from classical mechanics, hydrodynamics, general relativity and quantum mechanics. The rest of the book systematically presents the Standard Model of particle physics (QED, weak interactions, QCD). A large number of scattering and decay processes are calculated with REDUCE. All example programs from the book can be downloaded via Internet, from http://www.inp.nsk.su/~grozin/book/. The emphasis throughout is on learning through worked examples.

Download or read book Particles and Fields written by U. Cotti and published by American Institute of Physics. This book was released on 2003-06-26 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Division of Particles and Fields of the Mexican Physical Society (DPF-MPS) organized the X Mexican School of Particles and Fields (X MSPF). This meeting was dedicated to celebrate the 60th birthdays of Augusto Garcia and Arnulfo Zepeda, pioneers of this field in Latin America. The scientific program of the X MSPF included 70 review lectures on the most recent advances in high energy physics: experiment, theory, and phenomenology. Leading lecturers from more than ten countries presented their material at plenary sessions. Contributed papers were presented in a poster session. The topics covered during the X MSPF are the following: Precision tests of the standard model, QCD, neutrino physics, SUSY, experimental high energy physics, new physics and effective theories, quantum field theory, strings, quantum gravity, and cosmology.

Download or read book Particle Physics in the New Millennium written by Josip Trampetic and published by Springer. This book was released on 2014-03-12 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: The traditional purpose of the Adriatic Meeting is to present most advanced scienti?c research conducted by the lecturers who take part in the development of their ?elds and, in addition, to provide a school-like atmosphere for young scientists. Dubrovnik, as a geographical centre of this region of Europe, provided a most adequate location for this conference. Having very agreeable surroundings, the conference site nevertheless gave a focus for very strong scienti?c interaction. The subjects chosen for the 8th meeting, in September 2001, were gauge theories, particle phenomenology, string theories and cosmology. We were able to bring together a very good cross section of outstanding scientists who gave extraorinarily good presentations. Certainely one reason for this success is that most of us feel obliged to help the scienti?c life in South East Europe return to its former level. However, there are very exciting new scienti?c developments as well. Part of the meeting was dominated by neutrino physics which has just seen exciting progress by establishing neutrino masses experimentally. This was d- cussed within neutrino masses and grand uni?ed theories (GUTs). General - pects of neutrino physics and CP violation, neutrino mixing and the bayron asymmetry were presented along the same lines. On the theoretical side the idea of the construction of gauge theories on non-commutative spaces and their phenomenological implications is accepted worldwide within the particle physics community.

Download or read book Critical Properties of Greek Letter Phi 4 theories written by Hagen Kleinert and published by World Scientific. This book was released on 2001 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains in detail how to perform perturbation expansions in quantum field theory to high orders, and how to extract the critical properties of the theory from the resulting divergent power series. These properties are calculated for various second-order phase transitions of three-dimensional systems with high accuracy, in particular the critical exponents observable in experiments close to the phase transition.Beginning with an introduction to critical phenomena, this book develops the functional-integral description of quantum field theories, their perturbation expansions, and a method for finding recursively all Feynman diagrams to any order in the coupling strength. Algebraic computer programs are supplied on accompanying World Wide Web pages. The diagrams correspond to integrals in momentum space. They are evaluated in 4-î dimensions, where they possess pole terms in 1/î. The pole terms are collected into renormalization constants.The theory of the renormalization group is used to find the critical scaling laws. They contain critical exponents which are obtained from the renormalization constants in the form of power series. These are divergent, due to factorially growing expansion coefficients. The evaluation requires resummation procedures, which are performed in two ways: (1) using traditional methods based on Pad‚ and Borel transformations, combined with analytic mappings; (2) using modern variational perturbation theory, where the results follow from a simple strong-coupling formula. As a crucial test of the accuracy of the methods, the critical exponent à governing the divergence of the specific heat of superfluid helium is shown to agree very well with the extremely precise experimental number found in the space shuttle orbiting the earth (whose data are displayed on the cover of the book).The phi4-theories investigated in this book contain any number N of fields in an O(N)-symmetric interaction, or in an interaction in which O(N)-symmetry is broken by a term of a cubic symmetry. The crossover behavior between the different symmetries is investigated. In addition, alternative ways of obtaining critical exponents of phi4-theories are sketched, such as variational perturbation expansions in three rather than 4-î dimensions, and improved ratio tests in high-temperature expansions of lattice models.