Download or read book The Mass Gap And Its Applications written by Vakhtang Gogokhia and published by World Scientific. This book was released on 2013-03-06 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Chromodynamics (QCD) is the most up-to-date theory of the strong interaction. Its predictions have been verified experimentally, and it is a cornerstone of the Standard Model of particle physics. However, standard perturbative procedures fail if applied to low-energy QCD. Even the discovery of the Higgs Boson will not solve the problem of masses originating from the non-perturbative behavior of QCD.This book presents a new method, the introduction of the ‘mass gap’, first suggested by Arthur Jaffe and Edward Witten at the turn of the millennium. It attempts to show that, to explain the mass-spectrum of QCD, one needs the mass scale parameter (the mass gap) instead of other massive particles. The energy difference between the lowest order and the vacuum state in Yang-Mills quantum field theory, the mass gap is in principle responsible for the large-scale structure of the QCD ground state, and thus also for its non-perturbative phenomena at low energies. This book not only presents the mass gap, but also details the applications and outlook of the mass gap method. A detailed summary of references and problems are included as well.This book is best for scientists and highly advanced students interested in non-perturbative effects and methods in QCD.
Download or read book Random Matrices and Their Applications written by Joel E. Cohen and published by American Mathematical Soc.. This book was released on 1986 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features twenty-six expository papers on random matrices and products of random matrices. This work reflects both theoretical and applied concerns in fields as diverse as computer science, probability theory, mathematical physics, and population biology.
Download or read book The Millennium Prize Problems written by James Carlson and published by American Mathematical Society, Clay Mathematics Institute. This book was released on 2023-09-14 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: On August 8, 1900, at the second International Congress of Mathematicians in Paris, David Hilbert delivered his famous lecture in which he described twenty-three problems that were to play an influential role in mathematical research. A century later, on May 24, 2000, at a meeting at the Collège de France, the Clay Mathematics Institute (CMI) announced the creation of a US$7 million prize fund for the solution of seven important classic problems which have resisted solution. The prize fund is divided equally among the seven problems. There is no time limit for their solution. The Millennium Prize Problems were selected by the founding Scientific Advisory Board of CMI—Alain Connes, Arthur Jaffe, Andrew Wiles, and Edward Witten—after consulting with other leading mathematicians. Their aim was somewhat different than that of Hilbert: not to define new challenges, but to record some of the most difficult issues with which mathematicians were struggling at the turn of the second millennium; to recognize achievement in mathematics of historical dimension; to elevate in the consciousness of the general public the fact that in mathematics, the frontier is still open and abounds in important unsolved problems; and to emphasize the importance of working towards a solution of the deepest, most difficult problems. The present volume sets forth the official description of each of the seven problems and the rules governing the prizes. It also contains an essay by Jeremy Gray on the history of prize problems in mathematics.
Download or read book CERN Courier written by and published by . This book was released on 2014 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Observability and Mathematics written by Boris Khots and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-07-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Yang-Mills theory is now the foundation of most of elementary particle theory, and its predictions have been tested at many experimental laboratories, but its mathematical foundation is still unclear. The ''mass gap'' property has been discovered by physicists from experiment, but it still has not been understood from a theoretical point of view. Proposed book describes author's approach to solution of this problem on base of Mathematics with Observers (removing from arithmetic infinity idea, taking into account Observers dependent ascending chain of embedded sets of finite decimal fractions with arithmetic operations locally coinciding with standard operations, and getting new calculus, diff geometry, etc), including interpretations of vector fields and differential forms, generalization of Yang-Mills equations, proof of mass gap existing, consideration the theory of matrix Lie groups and algebras, and this point of view gives the possibilities to make new approach and establish the existence of the Yang-Mills theory and a mass gap, Grand unified theories and Standard model of particle physics.
Download or read book Analytic calculation of the mass gap in the framework of Euclidean Lattice Gauge Theory written by Karsten Decker and published by . This book was released on 1985 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book New Developments in Relativistic Quantum Field Theory and Its Applications written by and published by . This book was released on 1974 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Thermionic Vacuum Tube and Its Applications written by Hendrik Johannes Van der Bijl and published by . This book was released on 1920 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lattice written by and published by . This book was released on 1993 with total page 864 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Hypnotism and its application to practical medicine written by Otto Georg Wetterstrand and published by . This book was released on 1899 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Principles of Spark Source Mass Spectrography and Its Application to the Determination of Trace Element Concentrations written by Peter Deines and published by . This book was released on 1970 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Glass Science and its Applications II written by Nandyala Sooraj Hussain and published by Trans Tech Publications Ltd. This book was released on 2013-09-04 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume is indexed by Thomson Reuters BCI (WoS). The present special topic volume entitled Glass Science and its Applications II covers different glasses and glass ceramic materials for technological and biomedical applications. In this special issue, the first review paper reports on the linear and non- linear properties of different materials. The second paper reports the visible-NIR luminescence and time-resolved emission spectral profiles of Nd3+, and Er3+ doped silver zinc borate glasses. The third paper, As2O3 glasses were identified as the low-loss materials for long-distance optical transmission and CuO containing glasses are also draw special attention because of the p-type semiconductivity property. Glass system of composition Li2O-Na2O-B2O3: Fe2O3 with replacing alkali oxides one by another have been reported in the fourth paper. Dielectric properties of these glasses have also been explored. In biomedical applications, CaO-P2O5 based glass reinforced hydroxyapatite composite material for bone regenerative applications have been reported in paper five and six. Paper six, the guided bone regeneration procedure using a glass-reinforced HA and collagen membrane in the treatment of an intrabony defect was reported. Authors hope that this special volume may be useful for those who are searching for a general overview of glass science and its applications in different fields.
Download or read book Gauge Gravity Duality written by Martin Ammon and published by Cambridge University Press. This book was released on 2015-04-09 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first textbook on this important topic, for graduate students and researchers in particle and condensed matter physics.
Download or read book Chemical Technology Or Chemistry in Its Applications to Arts and Manufactures Electric lighting written by Charles Edward Groves and published by . This book was released on 1903 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Plenary Talks of the 32nd International Conference on High Energy Physics ICHEP 2004 written by Hesheng Chen and published by . This book was released on 2005 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Spectral Theory and Mathematical Physics A Festschrift in Honor of Barry Simon s 60th Birthday written by Fritz Gesztesy and published by American Mathematical Soc.. This book was released on 2007 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift had its origins in a conference called SimonFest held at Caltech, March 27-31, 2006, to honor Barry Simon's 60th birthday. It is not a proceedings volume in the usual sense since the emphasis of the majority of the contributions is on reviews of the state of the art of certain fields, with particular focus on recent developments and open problems. The bulk of the articles in this Festschrift are of this survey form, and a few review Simon's contributions to aparticular area. Part 1 contains surveys in the areas of Quantum Field Theory, Statistical Mechanics, Nonrelativistic Two-Body and $N$-Body Quantum Systems, Resonances, Quantum Mechanics with Electric and Magnetic Fields, and the Semiclassical Limit. Part 2 contains surveys in the areas of Random andErgodic Schrodinger Operators, Singular Continuous Spectrum, Orthogonal Polynomials, and Inverse Spectral Theory. In several cases, this collection of surveys portrays both the history of a subject and its current state of the art. A substantial part of the contributions to this Festschrift are survey articles on the state of the art of certain areas with special emphasis on open problems. This will benefit graduate students as well as researchers who want to get a quick, yet comprehensiveintroduction into an area covered in this volume.
Download or read book High Dimensional Probability written by Roman Vershynin and published by Cambridge University Press. This book was released on 2018-09-27 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.
