Multivalued Fields: In Condensed Matter, Electromagnetism, and Gravitation - ISBN:981279171X

Multivalued Fields: In Condensed Matter, Electromagnetism, and Gravitation

Date: 24 April 2011, 01:16

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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.
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 ofGravitation; 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.
Summary: Goodies for theoretical physicists
Rating: 4
This is not a book for the mass market but for theoretical and mathematical physicists it is likely to be amusing and rewarding reading. It is necessary to be familiar with field theory and tensor analysis, even if a heroic effort is made to explain things from scratch. Kleinert presents many interesting new ideas in the areas mentioned in the title and the adequately prepared reader will extract inspiration and education from this text. Kleinert’s enthusiasm is evident throughout. The quotations at the beginnings of the chapters are very amusing. Here is one of them that catches some of the spirit of the book: "Do it big or stay in bed". The bid idea of Hagen Kleinert is "the world crystal". The only minus I can mention is that the book appears to be a bit hastily written.

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