Renormalized Quantum Field Theory
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Renormalization
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Author : Laurie M. Brown
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Renormalization written by Laurie M. Brown and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The purpose of this section is to give you a sketch of how quantum field theory works, where Feynman graphs come from and why they are so useful, where the infinities come from, and how we have learned to deal with them without compromising the physical principles involved. I am purposely treating the problem at the level of the 1940s and 1950s, so as to keep the basic ideas clear and avoid the more difficult problems and more sophisticated methods of recent years. I shall relate my discussion simply to quantum electrodynamics (QED) since that is the most familiar case and the case that was in the forefront from the beginning (though in fact I shall ignore many of the special complications that have to be dealt with when you quantize a gauge field). The methods I shall be describing are applicable to all sorts of quantized fields: the detailed factors are different but the structure of the logical development isjust the same. Not surprisingly, though, the renormalization procedure breaks down if the theory in question is nonrenormalizable. Whether nonrenormalizable theories are theories at all is a matter for debate; in any case, they hold no practical interest for physicists since they are essentially unusable. Quantum electrodynamics was devised in 1927 by Dirac, less than a year after the Schrodinger equation appeared and before the Dirac equa tion for the relativistic electron had been invented.
Renormalized Quantum Field Theory
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Author : O.I. Zavialov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Renormalized Quantum Field Theory written by O.I. Zavialov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
'Et moi. ... - Ii j'avait su CClIIIIIIaIt CD 1'CVCDir, ODe scmcc matbcmatK:s bas I'CIIdcRd!be je D', semis paiDt ~. humaD mcc. It bas put common sease bact Jules Vcmc 'WIIcR it bdoDp, 011!be topmost sbdl JlCXt 10!be dully c:uista' t.bdlcd 'cIiIc:arded DOlI- The series is diverpt; therefore we may be sense'. Eric T. BcII able 10 do sometbiD & with it O. Heavilide Mathematics is a tool for thought. A highly ncceuary tool in a world where both feedback and non- 1inearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the l'Iison d'etre of this series.
Renormalization Group And Fixed Points
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Author : Timothy J Hollowood
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-28
Renormalization Group And Fixed Points written by Timothy J Hollowood and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-28 with Science categories.
This Brief presents an introduction to the theory of the renormalization group in the context of quantum field theories of relevance to particle physics. Emphasis is placed on gaining a physical understanding of the running of the couplings. The Wilsonian version of the renormalization group is related to conventional perturbative calculations with dimensional regularization and minimal subtraction. An introduction is given to some of the remarkable renormalization group properties of supersymmetric theories.
Mass Renormalization In Quantum Field Theory
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Author : C. R. Hagen
language : en
Publisher:
Release Date : 1964
Mass Renormalization In Quantum Field Theory written by C. R. Hagen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Quantum field theory categories.
Introduction To Quantum Field Theory
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Author : Shau-Jin Chang
language : en
Publisher: World Scientific
Release Date : 1990
Introduction To Quantum Field Theory written by Shau-Jin Chang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Science categories.
This book presents in a short volume the basics of quantum field theory and many body physics. The first part introduces the perturbative techniques without sophisticated apparatus and applies them to numerous problems including quantum electrodynamics (renormalization), Fermi and Bose gases, the Brueckner theory of nuclear system, liquid Helium and classical systems with noise. The material is clear, illustrative and the important points are stressed to help the reader get the understanding of what is crucial without overwhelming him with unnecessary detours or comments. The material in the second part ranges from variational principles to path integrals, discusses gauge theory, the renormalization group and classical solutions together with their applications.
Renormalization And Invariance In Quantum Field Theory
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Author : Eduardo Caianiello
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Renormalization And Invariance In Quantum Field Theory written by Eduardo Caianiello and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The subject matter of this Advanced Study Institute, which has been rendered possible by the generous support of NATO, gratefully acknow ledged here, is of central importance to quantum field theory today. The problems involved are both deep and complicated, to a point that perhaps does not find easily a parallel in other branches of theoret ical physics. From the first rule-of-thumb prescriptions on how to perform renormalization to the most recent advances--which brighten our hopes to find, eventually, in field theory indications as to the ultimate composition of matter--a great amount of progress has cer tainly been made. We were fortunate to have among us many of the people who have most contributed to past and recent developments. Although clues that point to what to do next are clearer now than might have been expected only a few years ago, much hard work is still ahead. It is hoped that both our meeting, which brought to gether leaders in the field as well as bright and eager beginners, and the present volume, based on the NATO meeting, may be useful as a mise-a-point and as an up-to-date reference book for researchers interested in the field.
Mass Renormalization In Quantum Field Theory Ii
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Author : C. R. Hagen
language : en
Publisher:
Release Date : 1964
Mass Renormalization In Quantum Field Theory Ii written by C. R. Hagen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Quantum field theory categories.
An Introduction To Quantum Field Theory
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Author : Michael E. Peskin
language : en
Publisher: CRC Press
Release Date : 2018-05-04
An Introduction To Quantum Field Theory written by Michael E. Peskin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Science categories.
An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.
Renormalization And Invariance In Quantum Field Theory
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Author : Eduardo Caianiello
language : en
Publisher:
Release Date : 1974-07-01
Renormalization And Invariance In Quantum Field Theory written by Eduardo Caianiello and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-07-01 with categories.
Renormalization And Effective Field Theory
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Author : Kevin Costello
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
Renormalization And Effective Field Theory written by Kevin Costello 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 2011 with Mathematics categories.
Quantum field theory has had a profound influence on mathematics, and on geometry in particular. However, the notorious difficulties of renormalization have made quantum field theory very inaccessible for mathematicians. This provides complete mathematical foundations for the theory of perturbative quantum field theory, based on Wilson's ideas of low-energy effective field theory and on the Batalin-Vilkovisky formalism.