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Book Renormalization and Galois Theories

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 284 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.

Book Dualities  Helicity Amplitudes  and Little Conformal Symmetry

Download or read book Dualities Helicity Amplitudes and Little Conformal Symmetry written by Kitran Macey M. Colwell and published by Springer. This book was released on 2017-11-11 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops two exciting areas of particle physics research. It applies the recent new insights about the usefulness of helicity amplitudes in understanding gauge theory to the long-standing effort to understand theories with both electric and magnetic charges. It is known that for some supersymmetric theories there is an exact duality that relates two descriptions of the physics, one where the electric charges are weakly coupled and another where the electric charges are strongly coupled. The calculations in this thesis suggest that this duality can also hold in the low-energy limit of nonsupersymmetric gauge theories. The idea of addressing the hierarchy problem of the standard model Higgs mechanism using conformal symmetry is also explored. Analogously to “Little Higgs” models, where divergences are cancelled only at one-loop order, models are studied that have infrared conformal fixed points which related gauge and Yukawa couplings, allowing for a cancellation between seemingly unrelated quantum loop diagrams.

Book The Anomalous Magnetic Moment of the Muon

Download or read book The Anomalous Magnetic Moment of the Muon written by Friedrich Jegerlehner and published by Springer. This book was released on 2017-08-17 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph covers extensively the theory of the muon anomalous magnetic moment and provides estimates of the theoretical uncertainties. The muon anomalous magnetic moment is one of the most precisely measured quantities in elementary particle physics and provides one of the most stringent tests of relativistic quantum field theory as a fundamental theoretical framework. It allows for an extremely precise check of the standard model of elementary particles and of its limitations. This book reviews the present state of knowledge of the anomalous magnetic moment a=(g-2)/2 of the muon. Recent experiments at the Brookhaven National Laboratory now reach the unbelievable precision of 0.5 parts per million, improving the accuracy of previous g-2 experiments at CERN by a factor of 14. In addition, quantum electrodynamics and electroweak and hadronic effects are reviewed. Since non-perturbative hadronic effects play a key role for the precision test, their evaluation is described in detail. Perspectives for future improvements of the theoretical and experimental precision are considered. The new edition features improved theoretical predictions to match upcoming experiments, like the one at Fermilab. Additionally the new more precise basic parameters are presented.

Book The Anomalous Magnetic Moment of the Muon

Download or read book The Anomalous Magnetic Moment of the Muon written by Fred Jegerlehner and published by Springer Science & Business Media. This book was released on 2008 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews the present state of knowledge of the anomalous magnetic moment a=(g-2)/2 of the muon. The muon anomalous magnetic moment is one of the most precisely measured quantities in elementary particle physics and provides one of the most stringent tests of relativistic quantum field theory as a fundamental theoretical framework. It allows for an extremely precise check of the standard model of elementary particles and of its limitations.

Book Lepton Dipole Moments

    Book Details:
  • Author : B. Lee Roberts
  • Publisher : World Scientific
  • Release : 2010
  • ISBN : 9814271845
  • Pages : 772 pages

Download or read book Lepton Dipole Moments written by B. Lee Roberts and published by World Scientific. This book was released on 2010 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained description of the measurements of the magnetic dipole moments of the electron and muon, along with a discussion of the measurements of the fine structure constant, and the theory associated with magnetic and electric dipole moments. Also included are the searches for a permanent electric dipole moment of the electron, muon, neutron and atomic nuclei. The related topic of the transition moment for lepton flavor violating processes, such as neutrinoless muon or tauon decays, and the search for such processes are included as well. The papers, written by many of the leading authors in this field, cover both the experimental and theoretical aspects of these topics. Sample Chapter(s). Chapter 1: Historical Introduction to Electric and Mangnetic Moments (367 KB). Contents: Historical Introduction (B L Roberts); Electromagnetic Dipole Moments and New Physics (A Czarnecki & W J Marciano); Lepton g OCo 2 from 1947 to Present (T Kinoshita); Analytic QED Calculations of the Anomalous Magnetic Moment of the Electron (S Laporta & E Remiddi); Measurements of the Electron Magnetic Moment (G Gabrielse); Determining the Fine Structure Constant (G Gabrielse); Helium Fine Structure Theory for the Determination of (K Pachucki & J Sapirstein); Hadronic Vacuum Polarization and the Lepton Anomalous Magnetic Moments (M Davier); The Hadronic Light-by-Light Contribution to a, e (J Prades et al.); General Prescriptions for One-loop Contributions to a e, (K R Lynch); Measurement of the Muon ( g OCo 2) Value (J P Miller et al.); Muon ( g OCo 2) and Physics Beyond the Standard Model (D StAckinger); Probing CP Violation with Electric Dipole Moments (M Pospelov & A Ritz); The Electric Dipole Moment of the Electron (E D Commins & D DeMille); Neutron EDM Experiments (S K Lamoreaux & R Golub); Nuclear Electric Dipole Moments (W C Griffith et al.); EDM Measurements in Storage Rings (B L Roberts et al.); Models of Lepton Flavor Violation (Y Okada); Search for the Charged Lepton-Flavor-Violating Transition Moments l OaAE l OC (Y Kuno). Readership: Researchers and graduate students in particle physics, atomic physics and nuclear physics, as well as experts working in the field

Book Cpt And Lorentz Symmetry   Proceedings Of The Eighth Meeting On Cpt And Lorentz Symmetry

Download or read book Cpt And Lorentz Symmetry Proceedings Of The Eighth Meeting On Cpt And Lorentz Symmetry written by Ralf Lehnert and published by World Scientific. This book was released on 2020-04-04 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the Proceedings of the Eighth Meeting on CPT and Lorentz Symmetry, held at Indiana University in Bloomington on May 12-16, 2019. The Meeting focused on tests of these fundamental symmetries and on related theoretical issues, including scenarios for possible violations. Topics covered at the meeting include experimental and observational searches for CPT and Lorentz violation involving: accelerators and colliders; astrophysical birefringence, dispersion, and anisotropy; atomic and molecular spectroscopy; cavities, oscillators, resonators; Cherenkov radiation; clock-comparison measurements; CMB polarimetry; cosmic rays; decays of atoms, nuclei, and particles; equivalence-principle tests with matter and antimatter; exotic atoms, muonium, positronium; gauge bosons, the Higgs boson; gravimetry; gravitational waves; high-energy astrophysical observations; hydrogen and antihydrogen spectroscopy; lasers, masers; matter-wave interferometry; meson and baryon properties; neutral-meson interferometry; neutrino mixing and propagation, neutrino-antineutrino oscillations; particle-antiparticle comparisons; photon and particle scattering; post-Newton gravity in the solar system and beyond; second- and third-generation particles; short-range gravity; sidereal and annual time variations, compass asymmetries; single-top and top pair production; space-based missions; spin-gravity couplings; spin precession; time-of-flight measurements; torsion and nonmetricity; trapped particles, ions, and atoms. The meeting also covered theoretical and phenomenological studies of CPT and Lorentz violation including: physical effects at the level of the Standard Model, General Relativity, and beyond; origins and mechanisms for violations; classical and quantum field theory, gravitation, particle physics, and strings; mathematical foundations, Finsler geometry.

Book Theory of the Muon Anomalous Magnetic Moment

Download or read book Theory of the Muon Anomalous Magnetic Moment written by Kirill Melnikov and published by Springer. This book was released on 2007-01-09 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of the muon anomalous magnetic moment is particle physics in a nutshell. It is an interesting, exciting and difficult subject, and this book provides a comprehensive review of it. The theory of the muon anomalous magnetic moment is at the cutting edge of current research in particle physics, and any deviation between the theoretical prediction and the experimental value might be interpreted as a signal of an as-yet-unknown new physics.

Book Proceedings of the Sixth Workshop on Non Perturbative QCD

Download or read book Proceedings of the Sixth Workshop on Non Perturbative QCD written by Herbert Martin Fried and published by World Scientific. This book was released on 2002 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to different facets of QCD, stressing non-perturbative, analytic and lattice formulations, scattering solutions and approximations, and the understanding of recent RHIC experiments. It discusses ideas of the fifth dimension, originating in brane theory, as well as possible experimental tests and predictions of those ideas.

Book Quantum Theory And Symmetries  Proceedings Of The 3rd International Symposium

Download or read book Quantum Theory And Symmetries Proceedings Of The 3rd International Symposium written by Philip C Argyres and published by World Scientific. This book was released on 2004-10-08 with total page 803 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains the text of lectures given at the third of a series of biennial symposia in mathematical physics held in odd-numbered years. The subject of the symposium is the frontiers of mathematical physics. It deals with quantum phenomena and includes topics such as string theory and quantum gravity, particle physics and field theory, non-communative geometry, integrable models and infinite dimensional symmetry groups, quantum computing and information processing, and quantum chaos.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences

Book Gribov 90 Memorial Volume  Field Theory  Symmetry  And Related Topics   Proceedings Of The Memorial Workshop Devoted To The 90th Birthday Of V N Gribov

Download or read book Gribov 90 Memorial Volume Field Theory Symmetry And Related Topics Proceedings Of The Memorial Workshop Devoted To The 90th Birthday Of V N Gribov written by Yuri L Dokshitzer and published by World Scientific. This book was released on 2021-04-20 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vladimir Naumovich Gribov is one of the creators of modern theoretical physics. The concepts and methods that Gribov has developed in the second half of the 20th century became cornerstones of the physics of high energy hadron interactions (relativistic theory of complex angular momenta, a notion of the vacuum pole — Pomeron, effective reggeon field theory), condensed matter physics (critical phenomena), neutrino oscillations, and nuclear physics.His unmatched insights into the nature of the quantum field theory helped to elucidate, in particular, the origin of classical solutions (instantons), quantum anomalies, specific problems in quantization of non-Abelian fields (Gribov anomalies, Gribov horizon), and the role of light quarks in the color confinement phenomenon.The Memorial Workshop devoted to Gribov's 90th birthday was cancelled due to the coronavirus pandemic in 2020; however, this did not deter the collection of many new studies in challenging theoretical physics problems across a broad variety of topics, and shared memories about their colleague, great teacher and friend. The contributions of this memorial volume affirms the everlasting impact of Gribov's scientific heritage upon the physics of the 21st century.

Book Continuous Advances In Qcd 1996   Proceedings Of The Conference

Download or read book Continuous Advances In Qcd 1996 Proceedings Of The Conference written by M I Polikarpov and published by World Scientific. This book was released on 1996-11-13 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings contain the contributions of the world's leading experts in Quantum Chromodynamics. The most pressing problems of QCD today are discussed.

Book Scattering  Two Volume Set

Download or read book Scattering Two Volume Set written by E. R. Pike and published by Elsevier. This book was released on 2001-10-09 with total page 1831 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering is the collision of two objects that results in a change of trajectory and energy. For example, in particle physics, such as electrons, photons, or neutrons are "scattered off" of a target specimen, resulting in a different energy and direction. In the field of electromagnetism, scattering is the random diffusion of electromagnetic radiation from air masses is an aid in the long-range sending of radio signals over geographic obstacles such as mountains. This type of scattering, applied to the field of acoustics, is the spreading of sound in many directions due to irregularities in the transmission medium. Volume I of Scattering will be devoted to basic theoretical ideas, approximation methods, numerical techniques and mathematical modeling. Volume II will be concerned with basic experimental techniques, technological practices, and comparisons with relevant theoretical work including seismology, medical applications, meteorological phenomena and astronomy. This reference will be used by researchers and graduate students in physics, applied physics, biophysics, chemical physics, medical physics, acoustics, geosciences, optics, mathematics, and engineering. This is the first encyclopedic-range work on the topic of scattering theory in quantum mechanics, elastodynamics, acoustics, and electromagnetics. It serves as a comprehensive interdisciplinary presentation of scattering and inverse scattering theory and applications in a wide range of scientific fields, with an emphasis, and details, up-to-date developments. Scattering also places an emphasis on the problems that are still in active current research. The first interdisciplinary reference source on scattering to gather all world expertise in this technique Covers the major aspects of scattering in a common language, helping to widening the knowledge of researchers across disciplines The list of editors, associate editors and contributors reads like an international Who's Who in the interdisciplinary field of scattering

Book Deep Inelastic Scattering

Download or read book Deep Inelastic Scattering written by J. Blümlein and published by Elsevier. This book was released on 2016-06-03 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deep Inelastic Scattering

Book Perturbative Qcd

    Book Details:
  • Author : A H Mueller
  • Publisher : World Scientific
  • Release : 1989-07-01
  • ISBN : 9814602280
  • Pages : 624 pages

Download or read book Perturbative Qcd written by A H Mueller and published by World Scientific. This book was released on 1989-07-01 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will be of great interest to advanced students and researchers in the area of high energy theoretical physics. Being the most complete and updated review volume on Perturbative QCD, it serves as an extremely useful textbook or reference book. Some of the reviews in this volume are the best that have been written on the subject anywhere.

Book Radiative Corrections  Radcor 98  Application Of Quantum Field Theory To Phenomenology   Proceedings Of 4th

Download or read book Radiative Corrections Radcor 98 Application Of Quantum Field Theory To Phenomenology Proceedings Of 4th written by Joan Sola and published by World Scientific. This book was released on 1999-09-17 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the contributions of 47 leading researchers in high energy physics, both theorists and experimentalists, from all over the world. It discusses the application of quantum field theory to phenomenology in all areas of active research in particle physics. The topics covered include: (i) the status of precision measurements at LEP, SLC, HERA, Tevatron, and other experiments; (ii) quantum-field-theoretical techniques for calculating electroweak and QCD radiative corrections; and (iii) radiative corrections and precision experiments in future colliders (Tevatron II, LHC, NLC, Muon Collider, etc.). The confrontation in a single volume of all the high precision results reported by experimentalists, on one side, with the predictions of the Standard Model (SM) at the level of radiative corrections, on the otherside, provides a detailed test of the SM at the quantum level. And, where discrepancies appear, it gives hints of physics beyond the SM (such as supersymmetry, effective quantum field theories, etc.) which are thoroughly discussed in the book.