Renormalization Group And Fixed Points

Author : Timothy J Hollowood
Publisher : Springer Science & Business Media
ISBN 13 : 3642363121
Total Pages : 78 pages
Book Rating : 4.22/5 ( download)

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Download or read book Renormalization Group and Fixed Points written by Timothy J Hollowood and published by Springer Science & Business Media. This book was released on 2013-03-28 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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ISBN 13 :
Total Pages : pages
Book Rating : 4.99/5 ( download)

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Download or read book Renormalization Group Fixed Points Near the Origin written by and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Claude Fleming
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.16/5 ( download)

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Download or read book Study of Singular Multi-critical Fixed Points in the O(N) Model Using the Functional Renormalization Group written by Claude Fleming and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis studies new fixed points of the renormalization group of the O (N) model within field theory. In particular, we study fixed points which become singular in limit N large. For moderately large N, we find a non-trivial homotopy which exchanges fixed points when the dimension and the value of N is varied together. Finally, we explore the field of possibilities for the approximations of the non-perturbative renormalization group.

Author : John Cardy
Publisher : Cambridge University Press
ISBN 13 : 9780521499590
Total Pages : 264 pages
Book Rating : 4.93/5 ( download)

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Download or read book Scaling and Renormalization in Statistical Physics written by John Cardy and published by Cambridge University Press. This book was released on 1996-04-26 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a thoroughly modern graduate-level introduction to the theory of critical behaviour. It begins with a brief review of phase transitions in simple systems, then goes on to introduce the core ideas of the renormalisation group.

Author : Kara Michelle Farnsworth
Publisher :
ISBN 13 : 9780355451177
Total Pages : pages
Book Rating : 4.74/5 ( download)

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Download or read book On the Symmetries of Renormalization Group Fixed Points written by Kara Michelle Farnsworth and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this dissertation, the distinction between conformal invariance and two similar symmetries, scale invariance and Weyl invariance, is clarified. For the distinction between scale and conformal invariance, we focus on d = 4. Using the operator product expansion in momentum space as well as the form of the scale anomaly in d = 4, we are able to complement other recent work in order to rule out all but a very small class of scale-but-not-conformally invariant theories. The techniques used are similar to those used in another attempted proof of ours that scale invariance implies conformal invariance in d = 4. We comment on where exactly the proof failed as well as the usefulness of the techniques involved. We also show that conformal invariance in flat spacetime implies Weyl invariance in a general curved background metric for all unitary theories in spacetime dimensions d ≤ 10. We include possible curvature corrections to the Weyl transformations of operators, and show that these are absent for operators of sufficiently low dimensionality and spin. The arguments are based on algebraic consistency conditions similar to the Wess-Zumino consistency conditions that classify anomalies. We also present an example of the usefulness of conformal symmetry when combined with energy positivity constraints. We argue that all consistent quantum field theories obey a spacetime-averaged weak energy inequality. If this condition is violated, the theory has states that are indistinguishable from states of negative total energy by any local measurement, and we expect instabilities or other inconsistencies. We apply this condition to 3D and 4D conformal field theories, and find the constraints it places on the OPE coefficients of the theory.

Author : Peter Kopietz
Publisher : Springer
ISBN 13 : 3642050948
Total Pages : 383 pages
Book Rating : 4.47/5 ( download)

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Download or read book Introduction to the Functional Renormalization Group written by Peter Kopietz and published by Springer. This book was released on 2010-04-22 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: The renormalization group (RG) has nowadays achieved the status of a meta-theory, which is a theory about theories. The theory of the RG consists of a set of concepts and methods which can be used to understand phenomena in many different ?elds of physics, ranging from quantum ?eld theory over classical statistical mechanics to nonequilibrium phenomena. RG methods are particularly useful to understand phenomena where ?uctuations involving many different length or time scales lead to the emergence of new collective behavior in complex many-body systems. In view of the diversity of ?elds where RG methods have been successfully applied, it is not surprising that a variety of apparently different implementations of the RG idea have been proposed. Unfortunately, this makes it somewhat dif?cult for beginners to learn this technique. For example, the ?eld-theoretical formulation of the RG idea looks at the ?rst sight rather different from the RG approach pioneered by Wilson, the latter being based on the concept of the effective action which is ite- tively calculated by successive elimination of the high-energy degrees of freedom. Moreover, the Wilsonian RG idea has been implemented in many different ways, depending on the particular problem at hand, and there seems to be no canonical way of setting up the RG procedure for a given problem.

Author : Dmitri V Shirkov
Publisher : World Scientific
ISBN 13 : 981455524X
Total Pages : 373 pages
Book Rating : 4.41/5 ( download)

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Download or read book Renormalization Group '91 - Proceedings Of The 2nd International Conference written by Dmitri V Shirkov and published by World Scientific. This book was released on 1992-04-30 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers included here deal with the many faces of renormalization group formalism as it is used in different branches of theoretical physics. The subjects covered emphasize various applications to the theory of turbulence, chaos, quantum chaos in dynamical systems, spin systems and vector models. Also discussed are applications to related topics such as quantum field theory and chromodynamics, high temperature superconductivity and plasma physics.

Author : Nigel Goldenfeld
Publisher : CRC Press
ISBN 13 : 0429973128
Total Pages : 250 pages
Book Rating : 4.23/5 ( download)

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Download or read book Lectures On Phase Transitions And The Renormalization Group written by Nigel Goldenfeld and published by CRC Press. This book was released on 2018-03-08 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the elementary aspects of the physics of phases transitions and the renormalization group, this popular book is widely used both for core graduate statistical mechanics courses as well as for more specialized courses. Emphasizing understanding and clarity rather than technical manipulation, these lectures de-mystify the subject and show precisely "how things work." Goldenfeld keeps in mind a reader who wants to understand why things are done, what the results are, and what in principle can go wrong. The book reaches both experimentalists and theorists, students and even active researchers, and assumes only a prior knowledge of statistical mechanics at the introductory graduate level.Advanced, never-before-printed topics on the applications of renormalization group far from equilibrium and to partial differential equations add to the uniqueness of this book.

Author : Jean Zinn-Justin
Publisher : Oxford University Press on Demand
ISBN 13 : 0199227195
Total Pages : 465 pages
Book Rating : 4.98/5 ( download)

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Download or read book Phase Transitions and Renormalization Group written by Jean Zinn-Justin and published by Oxford University Press on Demand. This book was released on 2007-07-05 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: No further information has been provided for this title.

Author : Hidetoshi Nishimori
Publisher : Oxford University Press
ISBN 13 : 0199577226
Total Pages : 373 pages
Book Rating : 4.24/5 ( download)

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Download or read book Elements of Phase Transitions and Critical Phenomena written by Hidetoshi Nishimori and published by Oxford University Press. This book was released on 2011 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: As an introductory account of the theory of phase transitions and critical phenomena, this book reflects lectures given by the authors to graduate students at their departments and is thus classroom-tested to help beginners enter the field. Most parts are written as self-contained units and every new concept or calculation is explained in detail without assuming prior knowledge of the subject. The book significantly enhances and revises a Japanese version which is a bestseller in the Japanese market and is considered a standard textbook in the field. It contains new pedagogical presentations of field theory methods, including a chapter on conformal field theory, and various modern developments hard to find in a single textbook on phase transitions. Exercises are presented as the topics develop, with solutions found at the end of the book, making the text useful for self-teaching, as well as for classroom learning.