Selfdual Gauge Field Vortices
Title | Selfdual Gauge Field Vortices PDF eBook |
Author | Gabriella Tarantello |
Publisher | Springer Science & Business Media |
Pages | 335 |
Release | 2008-04-16 |
Genre | Science |
ISBN | 0817646086 |
This monograph discusses specific examples of selfdual gauge field structures, including the Chern–Simons model, the abelian–Higgs model, and Yang–Mills gauge field theory. The author builds a foundation for gauge theory and selfdual vortices by introducing the basic mathematical language of gauge theory and formulating examples of Chern–Simons–Higgs theories (in both abelian and non-abelian settings). Thereafter, the Electroweak theory and self-gravitating Electroweak strings are examined. The final chapters treat elliptic problems involving Chern–Simmons models, concentration-compactness principles, and Maxwell–Chern–Simons vortices.
Self-Dual Chern-Simons Theories
Title | Self-Dual Chern-Simons Theories PDF eBook |
Author | Gerald Dunne |
Publisher | Springer Science & Business Media |
Pages | 226 |
Release | 2009-02-13 |
Genre | Science |
ISBN | 3540447776 |
Self-duality greatly reduces the mathematical difficulties of a theory but it is also a notion of considerable physical significance. The new class of self-dual Chern-Simons theories discussed in detail in this book arise in the context of anyonic quantum field theory and have applications to models such as the quantum Hall effect, anyonic superconductivity, and Aharonov-Bohm scattering. There are also interesting connections with the theory of integrable models. The author presents the abelian and non-abelian models for relativistic and non-relativistic realizations of the self-dual Chern-Simons theories and finishes with some applications in quantum physics. The book is written for advanced students and researchers in mathematical, particle, and condensed matter physics.
Self-dual Vortices in Non-abelian Gauge Theories
Title | Self-dual Vortices in Non-abelian Gauge Theories PDF eBook |
Author | A. D. Burns |
Publisher | |
Pages | |
Release | 1984 |
Genre | |
ISBN |
Vortices and Monopoles
Title | Vortices and Monopoles PDF eBook |
Author | Arthur Jaffe |
Publisher | |
Pages | 300 |
Release | 1980 |
Genre | Science |
ISBN |
Vortex Operators in Gauge Field Theories
Title | Vortex Operators in Gauge Field Theories PDF eBook |
Author | Joseph Gerard Polchinski |
Publisher | |
Pages | 125 |
Release | 1980 |
Genre | Dissertations, Academic |
ISBN |
The Pinch Technique and its Applications to Non-Abelian Gauge Theories
Title | The Pinch Technique and its Applications to Non-Abelian Gauge Theories PDF eBook |
Author | John M. Cornwall |
Publisher | Cambridge University Press |
Pages | 305 |
Release | 2010-12-23 |
Genre | Science |
ISBN | 1139494279 |
Non-Abelian gauge theories, such as quantum chromodynamics (QCD) or electroweak theory, are best studied with the aid of Green's functions that are gauge-invariant off-shell, but unlike for the photon in quantum electrodynamics, conventional graphical constructions fail. The Pinch Technique provides a systematic framework for constructing such Green's functions, and has many useful applications. Beginning with elementary one-loop examples, this book goes on to extend the method to all orders, showing that the Pinch Technique is equivalent to calculations in the background field Feynman gauge. The Pinch Technique Schwinger-Dyson equations are derived, and used to show how a dynamical gluon mass arises in QCD. Applications are given to the center vortex picture of confinement, the gauge-invariant treatment of resonant amplitudes, the definition of non-Abelian effective charges, high-temperature effects, and even supersymmetry. This book is ideal for elementary particle theorists and graduate students.
Morse Index of Solutions of Nonlinear Elliptic Equations
Title | Morse Index of Solutions of Nonlinear Elliptic Equations PDF eBook |
Author | Lucio Damascelli |
Publisher | Walter de Gruyter GmbH & Co KG |
Pages | 269 |
Release | 2019-07-08 |
Genre | Mathematics |
ISBN | 3110538245 |
This monograph presents in a unified manner the use of the Morse index, and especially its connections to the maximum principle, in the study of nonlinear elliptic equations. The knowledge or a bound on the Morse index of a solution is a very important qualitative information which can be used in several ways for different problems, in order to derive uniqueness, existence or nonexistence, symmetry, and other properties of solutions.