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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~



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CONTENTS

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[img]http://i39.tinypic.com/23mak5e.jpg[/img]

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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