Phase Transitions and Renormalization Group download free [PDF and Ebook] by Jean Zinn Justin

Phase Transitions and Renormalization Group download free [PDF and Ebook] by Jean Zinn Justin year 2013
  • Book name: Phase Transitions and Renormalization Group
  • Author: Jean Zinn Justin
  • Release date: 2013/8/6
  • Language: English
  • Genre or Collection: Technology and Engineering
  • ISBN: 9780199665167
  • Rating: 9.59 of 10
  • Votes: 619
  • Review by: Quincy Whitney
  • Review rating: 9.17 of 10
  • Review Date: 2018/10/18
  • Total pages: 472
  • Includes a PDF summary of 53 pages
  • Description or summary of the book: This work tries to provide an elementary introduction to the notions of continuum limit and universality in statistical systems with a large number of degrees of freedom. The existence of a continuum limit requires the appearance of correlations at large distance, a situation that is encountered in second order phase transitions, near the critical temperature. In this context, we will emphasize the role of gaussian distributions and their relations with the meanfield approximation and Landau's theory of critical phenomena. We will show that quasi-gaussian or mean-field approximations cannot describe correctly phase transitions in three space dimensions. We will assign this difficulty to the coupling of very different physical length scales, even though thesystems we will consider have only local, that is, short range interactions. To analyze the unusual situation, a new concept is required: the renormalization group, whose fixed points allow understanding the universality of physical properties at large distance, beyond mean-field theory. In the continuum limit, critical phenomena can be described by quantum field theories. In this framework, the renormalization group is directly related to the renormalization process, that is, the necessity tocancel the infinities that arise in straightforward formulations of the theory. We thus discuss the renormalization group in the context of various relevant field theories. This leads to proofs of universality and to efficient tools for calculating universal quantities in a perturbative framework.Finally, we construct a general functional renormalization group, which can be used when perturbative methods are inadequate.
  • Estimated reading time (average reader): 23H28M7S
  • Other categories, genre or collection: Mathematics, Nanotechnology, Statistical Physics, Mathematical Physics, Condensed Matter Physics (liquid State & Solid State Physics), Particle & High-energy Physics
  • Available formats: PDF, TXT, WORD, DOC, OEB, JPEG, EPUB, LRF. Compressed in TAR.BZ, ACE, RAR, RPM, TAR.XZ, ZIP
  • Download servers: Memopal, IsoHunt, Mediafire, MEGA, Google Drive, 4Shared, Uploaded
  • Format: Paperback
  • Approximate value: 55.56 USD
  • Dimensions: 172x246x25mm
  • Weight: 798g
  • Printed by: Not Available
  • Published in: Oxford, United Kingdom

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