Author: Michel Le Bellac
Publisher:
ISBN:
Category : Critical phenomena (Physics)
Languages : fr
Pages : 650
Book Description
Des phénomènes critiques aux champs de jauge
Author: Michel Le Bellac
Publisher:
ISBN:
Category : Critical phenomena (Physics)
Languages : fr
Pages : 650
Book Description
Publisher:
ISBN:
Category : Critical phenomena (Physics)
Languages : fr
Pages : 650
Book Description
Phénomènes critiques, systèmes aléatoires, théories de jauge
Conformal Field Theory
Author: Philippe Francesco
Publisher: Springer Science & Business Media
ISBN: 1461222567
Category : Science
Languages : en
Pages : 908
Book Description
Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algebras. The many exercises, with a wide spectrum of difficulty and subjects, complement and in many cases extend the text. The text is thus not only an excellent tool for classroom teaching but also for individual study. Intended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics. It will prepare the reader for original research in this very active field of theoretical and mathematical physics.
Publisher: Springer Science & Business Media
ISBN: 1461222567
Category : Science
Languages : en
Pages : 908
Book Description
Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algebras. The many exercises, with a wide spectrum of difficulty and subjects, complement and in many cases extend the text. The text is thus not only an excellent tool for classroom teaching but also for individual study. Intended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics. It will prepare the reader for original research in this very active field of theoretical and mathematical physics.
Quantum
Author: Edgard Elbaz
Publisher: Springer Science & Business Media
ISBN: 3642602665
Category : Science
Languages : en
Pages : 607
Book Description
A new approach to the teaching of quantum physics. The first seven chapters present nonrelativistic quantum mechanics and its interpretation, as well as perturbations and scattering theory. While including Dirac's and Feynman's formalisms, the chapter on symmetry also treats gauge transformations. The quantum theory of angular momentum includes the isospin of leptons and quarks and uses as a new tool the graphical spin algebra. The second part of the book is devoted to quantum fields: Boson fields including Higgs fields, Dirac's theory of Fermion fields, quantum electrodynamic and quantum chromodynamics. The whole is rounded off by a brief review guaranteed to raise the students' interests in quantum cosmology. Readers will also find many detailed worked examples and numerous problems designed to test their own understanding.
Publisher: Springer Science & Business Media
ISBN: 3642602665
Category : Science
Languages : en
Pages : 607
Book Description
A new approach to the teaching of quantum physics. The first seven chapters present nonrelativistic quantum mechanics and its interpretation, as well as perturbations and scattering theory. While including Dirac's and Feynman's formalisms, the chapter on symmetry also treats gauge transformations. The quantum theory of angular momentum includes the isospin of leptons and quarks and uses as a new tool the graphical spin algebra. The second part of the book is devoted to quantum fields: Boson fields including Higgs fields, Dirac's theory of Fermion fields, quantum electrodynamic and quantum chromodynamics. The whole is rounded off by a brief review guaranteed to raise the students' interests in quantum cosmology. Readers will also find many detailed worked examples and numerous problems designed to test their own understanding.
Phenomenes Critiques Systemes Aleatoires Theoriques De Jauge
Fractal Space-time And Microphysics: Towards A Theory Of Scale Relativity
Author: Laurent Nottale
Publisher: World Scientific
ISBN: 9814520217
Category : Science
Languages : en
Pages : 349
Book Description
This is the first detailed account of a new approach to microphysics based on two leading ideas: (i) the explicit dependence of physical laws on scale encountered in quantum physics, is the manifestation of a fundamental principle of nature, scale relativity. This generalizes Einstein's principle of (motion) relativity to scale transformations; (ii) the mathematical achievement of this principle needs the introduction of a nondifferentiable space-time varying with resolution, i.e. characterized by its fractal properties.The author discusses in detail reactualization of the principle of relativity and its application to scale transformations, physical laws which are explicitly scale dependent, and fractals as a new geometric description of space-time.
Publisher: World Scientific
ISBN: 9814520217
Category : Science
Languages : en
Pages : 349
Book Description
This is the first detailed account of a new approach to microphysics based on two leading ideas: (i) the explicit dependence of physical laws on scale encountered in quantum physics, is the manifestation of a fundamental principle of nature, scale relativity. This generalizes Einstein's principle of (motion) relativity to scale transformations; (ii) the mathematical achievement of this principle needs the introduction of a nondifferentiable space-time varying with resolution, i.e. characterized by its fractal properties.The author discusses in detail reactualization of the principle of relativity and its application to scale transformations, physical laws which are explicitly scale dependent, and fractals as a new geometric description of space-time.
Methods In Field Theory: Les Houches Session Xxviii
Author: R Balian
Publisher: World Scientific
ISBN: 9814513490
Category : Science
Languages : en
Pages : 408
Book Description
This book is one of the most important reference books in Field Theory with permanent value. To enable wider access by students, researchers and libraries of developing countries, this valuable volume has been reprinted and is sold at a much lower price than before.
Publisher: World Scientific
ISBN: 9814513490
Category : Science
Languages : en
Pages : 408
Book Description
This book is one of the most important reference books in Field Theory with permanent value. To enable wider access by students, researchers and libraries of developing countries, this valuable volume has been reprinted and is sold at a much lower price than before.
Self-Organised Criticality
Author: Gunnar Pruessner
Publisher: Cambridge University Press
ISBN: 0521853354
Category : Science
Languages : en
Pages : 517
Book Description
An overview of results and methods, written for graduates and researchers in physics, mathematics, biology, sociology, finance, medicine and engineering.
Publisher: Cambridge University Press
ISBN: 0521853354
Category : Science
Languages : en
Pages : 517
Book Description
An overview of results and methods, written for graduates and researchers in physics, mathematics, biology, sociology, finance, medicine and engineering.
Turbulence
Author: Uriel Frisch
Publisher: Cambridge University Press
ISBN: 1139935976
Category : Science
Languages : en
Pages : 318
Book Description
This textbook presents a modern account of turbulence, one of the greatest challenges in physics. The state-of-the-art is put into historical perspective five centuries after the first studies of Leonardo and half a century after the first attempt by A. N. Kolmogorov to predict the properties of flow at very high Reynolds numbers. Such 'fully developed turbulence' is ubiquitous in both cosmical and natural environments, in engineering applications and in everyday life. The intended readership for the book ranges from first-year graduate students in mathematics, physics, astrophysics, geosciences and engineering, to professional scientists and engineers. Elementary presentations of dynamical systems ideas, of probabilistic methods (including the theory of large deviations) and of fractal geometry make this a self-contained textbook.
Publisher: Cambridge University Press
ISBN: 1139935976
Category : Science
Languages : en
Pages : 318
Book Description
This textbook presents a modern account of turbulence, one of the greatest challenges in physics. The state-of-the-art is put into historical perspective five centuries after the first studies of Leonardo and half a century after the first attempt by A. N. Kolmogorov to predict the properties of flow at very high Reynolds numbers. Such 'fully developed turbulence' is ubiquitous in both cosmical and natural environments, in engineering applications and in everyday life. The intended readership for the book ranges from first-year graduate students in mathematics, physics, astrophysics, geosciences and engineering, to professional scientists and engineers. Elementary presentations of dynamical systems ideas, of probabilistic methods (including the theory of large deviations) and of fractal geometry make this a self-contained textbook.
Non-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems
Author: Malo Tarpin
Publisher: Springer Nature
ISBN: 3030398714
Category : Science
Languages : en
Pages : 217
Book Description
This thesis presents the application of non-perturbative, or functional, renormalization group to study the physics of critical stationary states in systems out-of-equilibrium. Two different systems are thereby studied. The first system is the diffusive epidemic process, a stochastic process which models the propagation of an epidemic within a population. This model exhibits a phase transition peculiar to out-of-equilibrium, between a stationary state where the epidemic is extinct and one where it survives. The present study helps to clarify subtle issues about the underlying symmetries of this process and the possible universality classes of its phase transition. The second system is fully developed homogeneous isotropic and incompressible turbulence. The stationary state of this driven-dissipative system shows an energy cascade whose phenomenology is complex, with partial scale-invariance, intertwined with what is called intermittency. In this work, analytical expressions for the space-time dependence of multi-point correlation functions of the turbulent state in 2- and 3-D are derived. This result is noteworthy in that it does not rely on phenomenological input except from the Navier-Stokes equation and that it becomes exact in the physically relevant limit of large wave-numbers. The obtained correlation functions show how scale invariance is broken in a subtle way, related to intermittency corrections.
Publisher: Springer Nature
ISBN: 3030398714
Category : Science
Languages : en
Pages : 217
Book Description
This thesis presents the application of non-perturbative, or functional, renormalization group to study the physics of critical stationary states in systems out-of-equilibrium. Two different systems are thereby studied. The first system is the diffusive epidemic process, a stochastic process which models the propagation of an epidemic within a population. This model exhibits a phase transition peculiar to out-of-equilibrium, between a stationary state where the epidemic is extinct and one where it survives. The present study helps to clarify subtle issues about the underlying symmetries of this process and the possible universality classes of its phase transition. The second system is fully developed homogeneous isotropic and incompressible turbulence. The stationary state of this driven-dissipative system shows an energy cascade whose phenomenology is complex, with partial scale-invariance, intertwined with what is called intermittency. In this work, analytical expressions for the space-time dependence of multi-point correlation functions of the turbulent state in 2- and 3-D are derived. This result is noteworthy in that it does not rely on phenomenological input except from the Navier-Stokes equation and that it becomes exact in the physically relevant limit of large wave-numbers. The obtained correlation functions show how scale invariance is broken in a subtle way, related to intermittency corrections.