Overview

This book lays the foundations of the theory of fluctuating multivalued fields with numerous applications. Most prominent among these are phenomena dominated by the statistical mechanics of line-like objects, such as the phase transitions in superfluids and superconductors as well as the melting process of crystals, and the electromagnetic potential as a multivalued field that can produce a condensate of magnetic monopoles. In addition, multivalued mappings play a crucial role in deriving the physical laws of matter coupled to gauge fields and gravity with torsion from the laws of free matter. Through careful analysis of each of these applications, the book thus provides students and researchers with supplementary reading material for graduate courses on phase transitions, quantum field theory, gravitational physics, and differential geometry.

Full Product Details

Author:   Hagen Kleinert (Freie Univ Berlin, Germany)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 16.40cm , Height: 2.80cm , Length: 24.80cm
Weight:   0.889kg
ISBN:  

9789812791719

ISBN 10:   981279171
Pages:   524
Publication Date:   12 February 2008
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Basics; Action Approach; Continuous Symmetries and Conservation Laws: Noether's Theorem; Multivalued Gauge Transformations in Magnetostatics; Multivalued Fields in Superfluids and Superconductors; Dynamics of Superfluids; Dynamics of Charged Superfluid and Superconductor; Relativistic Magnetic Monopoles and Electric Charge Confinement; Multivalued Mapping from Ideal Crystals to Crystals with Defects; Defect Melting; Relativistic Mechanics in Curvilinear Coordinates; Torsion and Curvature from Defects; Curvature and Torsion from Embedding; Multivalued Mapping Principle; Field Equations of Gravitation; Minimally Coupled Fields of Integer Spin; Particles with Half-Integer Spin; Covariant Conservation Law; Gravitation of Spinning Matter as a Gauge Theory; Evanescent Properties of Torsion in Gravity; Teleparallel Theory of Gravitation; Emerging Gravity;.

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