Author: Yi Fang
Publisher:
ISBN:
Category : Yang-Mills theory
Languages : en
Pages : 47
Book Description
Heat Flow for Yang-Mills-Higgs Fields
Author: Yi Fang
Publisher:
ISBN:
Category : Yang-Mills theory
Languages : en
Pages : 47
Book Description
Publisher:
ISBN:
Category : Yang-Mills theory
Languages : en
Pages : 47
Book Description
Heat Flow for the Yang-Mills-Higgs Field and the Hermitian-Yang-Mills-Higgs Metric
Author: Min-Chun Hong
Publisher:
ISBN:
Category : Global differential geometry
Languages : en
Pages : 22
Book Description
Publisher:
ISBN:
Category : Global differential geometry
Languages : en
Pages : 22
Book Description
The Yang-Mills-Higgs Heat Flow on R3
Author: Andrew Hassell
Publisher:
ISBN:
Category : Yang-Mills theory
Languages : en
Pages : 22
Book Description
Publisher:
ISBN:
Category : Yang-Mills theory
Languages : en
Pages : 22
Book Description
Monotonicity Formula for Heat Flow for Yang-Mills-Higgs Equations
Author: Min-Chun Hong
Publisher:
ISBN:
Category : Heat equation
Languages : en
Pages : 26
Book Description
Publisher:
ISBN:
Category : Heat equation
Languages : en
Pages : 26
Book Description
Łojasiewicz-Simon Gradient Inequalities for Coupled Yang-Mills Energy Functionals
Author: Paul M Feehan
Publisher: American Mathematical Society
ISBN: 1470443023
Category : Mathematics
Languages : en
Pages : 138
Book Description
The authors' primary goal in this monograph is to prove Łojasiewicz-Simon gradient inequalities for coupled Yang-Mills energy functions using Sobolev spaces that impose minimal regularity requirements on pairs of connections and sections.
Publisher: American Mathematical Society
ISBN: 1470443023
Category : Mathematics
Languages : en
Pages : 138
Book Description
The authors' primary goal in this monograph is to prove Łojasiewicz-Simon gradient inequalities for coupled Yang-Mills energy functions using Sobolev spaces that impose minimal regularity requirements on pairs of connections and sections.
Geometry and Quantization of Moduli Spaces
Author: Vladimir Fock
Publisher: Birkhäuser
ISBN: 3319335782
Category : Mathematics
Languages : en
Pages : 230
Book Description
This volume is based on four advanced courses held at the Centre de Recerca Matemàtica (CRM), Barcelona. It presents both background information and recent developments on selected topics that are experiencing extraordinary growth within the broad research area of geometry and quantization of moduli spaces. The lectures focus on the geometry of moduli spaces which are mostly associated to compact Riemann surfaces, and are presented from both classical and quantum perspectives.
Publisher: Birkhäuser
ISBN: 3319335782
Category : Mathematics
Languages : en
Pages : 230
Book Description
This volume is based on four advanced courses held at the Centre de Recerca Matemàtica (CRM), Barcelona. It presents both background information and recent developments on selected topics that are experiencing extraordinary growth within the broad research area of geometry and quantization of moduli spaces. The lectures focus on the geometry of moduli spaces which are mostly associated to compact Riemann surfaces, and are presented from both classical and quantum perspectives.
Variational Problems in Differential Geometry
Author: Roger Bielawski
Publisher: Cambridge University Press
ISBN: 1139504118
Category : Mathematics
Languages : en
Pages : 216
Book Description
With a mix of expository and original papers this volume is an excellent reference for experienced researchers in geometric variational problems, as well as an ideal introduction for graduate students. It presents all the varied methods and techniques used in attacking geometric variational problems and includes many up-to-date results.
Publisher: Cambridge University Press
ISBN: 1139504118
Category : Mathematics
Languages : en
Pages : 216
Book Description
With a mix of expository and original papers this volume is an excellent reference for experienced researchers in geometric variational problems, as well as an ideal introduction for graduate students. It presents all the varied methods and techniques used in attacking geometric variational problems and includes many up-to-date results.
The Yang-Mills Heat Flow and the Caloric Gauge
Author: Sung-Jin Oh
Publisher:
ISBN: 9782856299616
Category :
Languages : en
Pages : 0
Book Description
Publisher:
ISBN: 9782856299616
Category :
Languages : en
Pages : 0
Book Description
Statistical Approach to Quantum Field Theory
Author: Andreas Wipf
Publisher: Springer Nature
ISBN: 3030832635
Category : Science
Languages : en
Pages : 568
Book Description
This new expanded second edition has been totally revised and corrected. The reader finds two complete new chapters. One covers the exact solution of the finite temperature Schwinger model with periodic boundary conditions. This simple model supports instanton solutions – similarly as QCD – and allows for a detailed discussion of topological sectors in gauge theories, the anomaly-induced breaking of chiral symmetry and the intriguing role of fermionic zero modes. The other new chapter is devoted to interacting fermions at finite fermion density and finite temperature. Such low-dimensional models are used to describe long-energy properties of Dirac-type materials in condensed matter physics. The large-N solutions of the Gross-Neveu, Nambu-Jona-Lasinio and Thirring models are presented in great detail, where N denotes the number of fermion flavors. Towards the end of the book corrections to the large-N solution and simulation results of a finite number of fermion flavors are presented. Further problems are added at the end of each chapter in order to guide the reader to a deeper understanding of the presented topics. This book is meant for advanced students and young researchers who want to acquire the necessary tools and experience to produce research results in the statistical approach to Quantum Field Theory.
Publisher: Springer Nature
ISBN: 3030832635
Category : Science
Languages : en
Pages : 568
Book Description
This new expanded second edition has been totally revised and corrected. The reader finds two complete new chapters. One covers the exact solution of the finite temperature Schwinger model with periodic boundary conditions. This simple model supports instanton solutions – similarly as QCD – and allows for a detailed discussion of topological sectors in gauge theories, the anomaly-induced breaking of chiral symmetry and the intriguing role of fermionic zero modes. The other new chapter is devoted to interacting fermions at finite fermion density and finite temperature. Such low-dimensional models are used to describe long-energy properties of Dirac-type materials in condensed matter physics. The large-N solutions of the Gross-Neveu, Nambu-Jona-Lasinio and Thirring models are presented in great detail, where N denotes the number of fermion flavors. Towards the end of the book corrections to the large-N solution and simulation results of a finite number of fermion flavors are presented. Further problems are added at the end of each chapter in order to guide the reader to a deeper understanding of the presented topics. This book is meant for advanced students and young researchers who want to acquire the necessary tools and experience to produce research results in the statistical approach to Quantum Field Theory.
Harmonic Maps Into Homogeneous Spaces
Author: Malcolm Black
Publisher: Routledge
ISBN: 1351441612
Category : Mathematics
Languages : en
Pages : 108
Book Description
Harmonic maps and the related theory of minimal surfaces are variational problems of long standing in differential geometry. Many important advances have been made in understanding harmonic maps of Riemann surfaces into symmetric spaces. In particular, ""twistor methods"" construct some, and in certain cases all, such mappings from holomorphic data. These notes develop techniques applicable to more general homogeneous manifolds, in particular a very general twistor result is proved. When applied to flag manifolds, this wider viewpoint allows many of the previously unrelated twistor results for symmetric spaces to be brought into a unified framework. These methods also enable a classification of harmonic maps into full flag manifolds to be established, and new examples are constructed. The techniques used are mostly a blend of the theory of compact Lie groups and complex differential geometry. This book should be of interest to mathematicians with experience in differential geometry and to theoretical physicists.
Publisher: Routledge
ISBN: 1351441612
Category : Mathematics
Languages : en
Pages : 108
Book Description
Harmonic maps and the related theory of minimal surfaces are variational problems of long standing in differential geometry. Many important advances have been made in understanding harmonic maps of Riemann surfaces into symmetric spaces. In particular, ""twistor methods"" construct some, and in certain cases all, such mappings from holomorphic data. These notes develop techniques applicable to more general homogeneous manifolds, in particular a very general twistor result is proved. When applied to flag manifolds, this wider viewpoint allows many of the previously unrelated twistor results for symmetric spaces to be brought into a unified framework. These methods also enable a classification of harmonic maps into full flag manifolds to be established, and new examples are constructed. The techniques used are mostly a blend of the theory of compact Lie groups and complex differential geometry. This book should be of interest to mathematicians with experience in differential geometry and to theoretical physicists.