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Geometric Methods for Quantum Field Theory~tqw~_darksiderg
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INFO
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Title................: Geometric Methods for Quantum Field Theory
Type.................: Ebook
Reader...............: PDF Reader
Size.................: 6.25 MB
Torrent Hash.........: 429DE2A7 A2935D6A 20D0CBC1 3A0BD45A D09674FC
Posted by............: ~tqw~
Trackers:
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CONTENTS
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Synopsis:
This volume offers an introduction to some basic mathematical and physical
tools as well as methods from mathematics and physics required to follow the
recent developments in several active topics at the interface between geometry
and quantum field theory including duality, gauge field theory, geometric
quantization, Seiberg-Witten theory, spectral properties and families of Dirac
operators, and the geometry of loop groups.
Table Of Contents:
Introduction
Lecture 1 Introduction to differentiable manifolds and symplectic geometry 1
Lecture 2 Spectral properties of the Dirac operator and geometrical
structures 116
Lecture 3 Quantum theory of fermion systems: Topics between physics and
mathematics 170
Lecture 4 Heat equation and spectral geometry: Introduction for beginners 238
Lecture 5 Renormalized traces as a geometric tool 293
Lecture 6 Concepts in gauge theory leading to electric-magnetic duality 361
Lecture 7 An introduction to Seiberg-Witten theory 421
Remarks on duality, analytic torsion and gaussian integration in
antisymmetric field theories 451
Multiplicative anomaly for the [zeta]-regularized determinant 467
On cohomogeneity one Riemannian manifolds 483
A differentiable calculus on the space of loops and connections 489
Quantum Hall conductivity and topological invariants 498
Determinant of the Dirac operator over the interval [0,[beta]] 509
Product Details:
* ISBN: 9810243510
* ISBN-13: 9789810243517
* Format: Hardcover, 528pp
* Publisher: World Scientific Publishing Company, Incorporated
* Pub. Date: April 2001
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