Author: Andrea Gamba
Publisher:
ISBN:
Category :
Languages : en
Pages : 27
Book Description
Renormalization Groups Analysis of the Quantum Non-linear Sigma Model with a Damping Term
Renormalization Group Analysis of the Quantum Non-linear Sigma Model with a Damping Term
Renormalization Group Theory of G/H Nonlinear Sigma Models and Applications to Localization Near Two Dimensions
Geometrical Formulation of Renormalization-Group Method as an Asymptotic Analysis
Author: Teiji Kunihiro
Publisher: Springer Nature
ISBN: 9811681899
Category : Science
Languages : en
Pages : 493
Book Description
This book presents a comprehensive account of the renormalization-group (RG) method and its extension, the doublet scheme, in a geometrical point of view. It extract long timescale macroscopic/mesoscopic dynamics from microscopic equations in an intuitively understandable way rather than in a mathematically rigorous manner and introduces readers to a mathematically elementary, but useful and widely applicable technique for analyzing asymptotic solutions in mathematical models of nature. The book begins with the basic notion of the RG theory, including its connection with the separation of scales. Then it formulates the RG method as a construction method of envelopes of the naive perturbative solutions containing secular terms, and then demonstrates the formulation in various types of evolution equations. Lastly, it describes successful physical examples, such as stochastic and transport phenomena including second-order relativistic as well as nonrelativistic fluid dynamics with causality and transport phenomena in cold atoms, with extensive numerical expositions of transport coefficients and relaxation times. Requiring only an undergraduate-level understanding of physics and mathematics, the book clearly describes the notions and mathematical techniques with a wealth of examples. It is a unique and can be enlightening resource for readers who feel mystified by renormalization theory in quantum field theory.
Publisher: Springer Nature
ISBN: 9811681899
Category : Science
Languages : en
Pages : 493
Book Description
This book presents a comprehensive account of the renormalization-group (RG) method and its extension, the doublet scheme, in a geometrical point of view. It extract long timescale macroscopic/mesoscopic dynamics from microscopic equations in an intuitively understandable way rather than in a mathematically rigorous manner and introduces readers to a mathematically elementary, but useful and widely applicable technique for analyzing asymptotic solutions in mathematical models of nature. The book begins with the basic notion of the RG theory, including its connection with the separation of scales. Then it formulates the RG method as a construction method of envelopes of the naive perturbative solutions containing secular terms, and then demonstrates the formulation in various types of evolution equations. Lastly, it describes successful physical examples, such as stochastic and transport phenomena including second-order relativistic as well as nonrelativistic fluid dynamics with causality and transport phenomena in cold atoms, with extensive numerical expositions of transport coefficients and relaxation times. Requiring only an undergraduate-level understanding of physics and mathematics, the book clearly describes the notions and mathematical techniques with a wealth of examples. It is a unique and can be enlightening resource for readers who feel mystified by renormalization theory in quantum field theory.
Renormalization of the Supersymmetric O(N) Non-linear Sigma Model
Lattice Renormalization Group Studies of the Two-dimensional O(N) Symmetric Non-linear Σ-model [sigma-model]
A Renormalization Group Analysis of the Hierarchical Model in Statistical Mechanics
Author: P. Collet
Publisher:
ISBN: 9783662210307
Category :
Languages : en
Pages : 212
Book Description
Publisher:
ISBN: 9783662210307
Category :
Languages : en
Pages : 212
Book Description
Improved actions, the perfect action, and scaling by perturbation theory in Wilsons renormalization group
Finite Temperature Renormalization Group Effective Potentials for the Linear Sigma Model
Author: Jeffrey David Shafer
Publisher:
ISBN:
Category : Field theory (Physics)
Languages : en
Pages : 248
Book Description
Publisher:
ISBN:
Category : Field theory (Physics)
Languages : en
Pages : 248
Book Description