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The Mass Gap And Its Applications

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The Mass Gap And Its Applications

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Author : Vakhtang Gogokhia
language : en
Publisher: World Scientific
Release Date : 2013-03-06

The Mass Gap And Its Applications written by Vakhtang Gogokhia and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-06 with Science categories.

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.

The Mass Gap And Its Applications

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FREE 30 Days

Author : Gogokhia Vakhtang
language : en
Publisher: World Scientific
Release Date : 2013

The Mass Gap And Its Applications written by Gogokhia Vakhtang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Science categories.

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. This book not only presents the new QCD mass gap method, but also details its applications and outlook. A detailed summary of references and problems are included as well.

Yang Mills And Mass Gap

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Author : Ekta Singh
language : en
Publisher:
Release Date : 2019-02-02

Yang Mills And Mass Gap written by Ekta Singh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-02 with categories.

Experiment and computer simulations suggest the existence of a "mass gap" in the solution to the quantum versions of the Yang-Mills equations. Proof of this property is known. You can understand from a theoretical point of view establishing the existence of the Yang-Mills theory and a mass gap with the introduction of fundamental new ideas both in physics and in mathematics.

Observability And Mathematics

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Author : Boris Khots
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-07-01

Observability And Mathematics written by Boris Khots and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-01 with Mathematics categories.

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.

Random Matrices And Their Applications

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Author : Joel E. Cohen
language : en
Publisher: American Mathematical Soc.
Release Date : 1986

Random Matrices And Their Applications written by Joel E. Cohen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.

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.

The Millennium Prize Problems

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Author : James Carlson
language : en
Publisher: American Mathematical Society, Clay Mathematics Institute
Release Date : 2023-09-14

The Millennium Prize Problems written by James Carlson and has been published by American Mathematical Society, Clay Mathematics Institute this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-14 with Mathematics categories.

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.