Non Perturbative Renormalization
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Non Perturbative Renormalization
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Author : Vieri Mastropietro
language : en
Publisher: World Scientific
Release Date : 2008
Non Perturbative Renormalization written by Vieri Mastropietro and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.
Differential-algebraic equations (DAEs) provide an essential tool for system modeling and analysis within different fields of applied sciences and engineering. This book addresses modeling issues and analytical properties of DAEs, together with some applications in electrical circuit theory. Beginning with elementary aspects, the author succeeds in providing a self-contained and comprehensive presentation of several advanced topics in DAE theory, such as the full characterization of linear time-varying equations via projector methods or the geometric reduction of nonlinear systems. Recent results on singularities are extensively discussed. The book also addresses in detail differential-algebraic models of electrical and electronic circuits, including index characterizations and qualitative aspects of circuit dynamics. In particular, the reader will find a thorough discussion of the state/semistate dichotomy in circuit modeling. The state formulation problem, which has attracted much attention in the engineering literature, is cleverly tackled here as a reduction problem on semistate models.
Non Perturbative Renormalization
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Author : Vieri Mastropietro
language : en
Publisher: World Scientific
Release Date : 2008
Non Perturbative Renormalization written by Vieri Mastropietro and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.
The notion of renormalization is at the core of several spectacular achievements of contemporary physics, and in the last years powerful techniques have been developed allowing to put renormalization on a firm mathematical basis. This book provides a self-consistent and accessible introduction to the sophisticated tools used in the modern theory of non-perturbative renormalization, allowing an unified and rigorous treatment of Quantum Field Theory, Statistical Physics and Condensed Matter models. In particular the first part of this book is devoted to Constructive Quantum Field Theory, providing a mathematical construction of models at low dimensions and discussing the removal of the ultraviolet and infrared cut-off, the verification of the axioms and the validity of Ward Identities with the relative anomalies. The second part is devoted to lattice 2D Statistical Physics, analyzing in particular the theory of universality in perturbed Ising models and the computation of the non-universal critical indices in Vertex or Ashkin-Teller models. Finally the third part is devoted to the analysis of complex quantum fluids showing Luttinger of Fermi liquid behavior, like the 1D or 2D Hubbard model.
Non Perturbative Renormalization On The Lattice
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Author : Daniel Körner
language : en
Publisher:
Release Date : 2014
Non Perturbative Renormalization On The Lattice written by Daniel Körner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.
An Introduction To Non Perturbative Foundations Of Quantum Field Theory
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Author : Franco Strocchi
language : en
Publisher: Oxford University Press, USA
Release Date : 2013-02-14
An Introduction To Non Perturbative Foundations Of Quantum Field Theory written by Franco Strocchi and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-14 with Science categories.
The book discusses fundamental aspects of Quantum Field Theory and of Gauge theories, with attention to mathematical consistency. Basic issues of the standard model of elementary particles (Higgs mechanism and chiral symmetry breaking in quantum Chromodynamics) are treated without relying on the perturbative expansion and on instanton calculus.
Renormalization Group And Effective Field Theory Approaches To Many Body Systems
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Author : Achim Schwenk
language : en
Publisher: Springer
Release Date : 2012-06-28
Renormalization Group And Effective Field Theory Approaches To Many Body Systems written by Achim Schwenk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-28 with Science categories.
There have been many recent and important developments based on effective field theory and the renormalization group in atomic, condensed matter, nuclear and high-energy physics. These powerful and versatile methods provide novel approaches to study complex and strongly interacting many-body systems in a controlled manner. The six extensive lectures gathered in this volume combine selected introductory and interdisciplinary presentations focused on recent applications of effective field theory and the renormalization group to many-body problems in such diverse fields as BEC, DFT, extreme matter, Fermi-liquid theory and gauge theories. Primarily aimed at graduate students and junior researchers, they offer an opportunity to explore fundamental physics across subfield boundaries at an early stage in their careers.
Aspects Of Non Perturbative Renormalization
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Author : István Nándori
language : en
Publisher:
Release Date : 2002
Aspects Of Non Perturbative Renormalization written by István Nándori and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
Non Perturbative Methods In Two Dimensional Quantum Field Theory
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Author : Elcio Abdalla
language : en
Publisher: World Scientific
Release Date : 1991-08-12
Non Perturbative Methods In Two Dimensional Quantum Field Theory written by Elcio Abdalla and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-08-12 with Science categories.
This book is a survey of methods used in the study of two-dimensional models in quantum field theory as well as applications of these theories in physics. It covers the subject since the first model, studied in the fifties, up to modern developments in string theories, and includes exact solutions, non-perturbative methods of study, and nonlinear sigma models.
Nonperturbative Quantum Field Theoretic Methods And Their Applications
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Author : Z. Horv th
language : en
Publisher: World Scientific
Release Date : 2001
Nonperturbative Quantum Field Theoretic Methods And Their Applications written by Z. Horv th and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.
Contents: Conformal Boundary Conditions OCo and What They Teach Us (V B Petkova & J-B Zuber); A Physical Basis for the Entropy of the AdS 3 Black Hole (S Fernando & F Mansouri); Spinon Formulation of the Kondo Problem (A Klmper & J R Reyes-Martinez); Boundary Integrable Quantum Field Theories (P Dorey); Finite Size Effects in Integrable Quantum Field Theories (F Ravanini); Nonperturbative Analysis of the Two-Frequency Sine-Gordon Model (Z Bajnok et al.); Screening in Hot SU(2) Gauge Theory and Propagators in 3D Adjoint Higgs Model (A Cucchieri et al.); Effective Average Action in Statistical Physics and Quantum Field Theory (Ch Wetterich); Phase Transitions in Non-Hermitean Matrix Models and the OC Single RingOCO Theorem (J Feinberg et al.); Unraveling the Mystery of Flavor (A Falk); The Nahm Transformation on R 2 X T 2 (C Ford); A 2D Integrable Axion Model and Target Space Duality (P Forgics); Supersymmetric Ward Identities and Chiral Symmetry Breaking in SUSY QED (M L Walker); and other papers. Readership: Theoretical, mathematical and high energy physicists."
Confinement Duality And Nonperturbative Aspects Of Qcd
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Author : Pierre van Baal
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-11
Confinement Duality And Nonperturbative Aspects Of Qcd written by Pierre van Baal 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 2005-12-11 with Science categories.
Proceedings of a NATO ASI and Isaac Newton Institute Workshop held in Cambridge, UK, June 23-July 4, 1997
Non Perturbative Renormalization Group Approach To Some Out Of Equilibrium Systems
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Author : Malo Tarpin
language : en
Publisher: Springer Nature
Release Date : 2020-03-19
Non Perturbative Renormalization Group Approach To Some Out Of Equilibrium Systems written by Malo Tarpin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-19 with Science categories.
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.