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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.
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 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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multivalued fields, gauge fields, relativistic mechanics, superfluid transition, multivalued gauge transformations, general coordinates, special coordinates, single vortex line, rotating superfluid, gauge interactions, affine spaces, relativistic particles, electric charge confinement, monopole gauge transformation, autoparallel trajectories, vortex gauge field, disorder field theory, log gaa, ideal reference crystal, monopole gauge invariance, extra core energy, monopole gauge field, transverse mass term, noncommuting derivatives, nonholonomic variations Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, World Scientific, Condensed Matter, Ideal Crystals, Quantum Mechanics, Path Integrals, Ginzburg-Landau Hamiltonian, Polymer Physics, Monte Carlo, Financial Markets, Evanescent Properties of Torsion, Scalar Fields, Excitation Spectrum of Superconductor, Noether's Theorem, Plenum Press, Properties of Ginzburg-Landau Theory of Superconductivity, Teleparallel Theory of Gravitation, Minkowski Geometry, Curvilinear Coordinates, Motion of Point Particle, Elastic Energy of Solid, Differential Geometry, Academic Press, Riemann Spacetime, Classical Electrodynamics Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
multivalued fields, gauge fields, relativistic mechanics, superfluid transition, multivalued gauge transformations, general coordinates, special coordinates, single vortex line, rotating superfluid, gauge interactions, affine spaces, relativistic particles, electric charge confinement, monopole gauge transformation, autoparallel trajectories, vortex gauge field, disorder field theory, log gaa, ideal reference crystal, monopole gauge invariance, extra core energy, monopole gauge field, transverse mass term, noncommuting derivatives, nonholonomic variations Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, World Scientific, Condensed Matter, Ideal Crystals, Quantum Mechanics, Path Integrals, Ginzburg-Landau Hamiltonian, Polymer Physics, Monte Carlo, Financial Markets, Evanescent Properties of Torsion, Scalar Fields, Excitation Spectrum of Superconductor, Noether's Theorem, Plenum Press, Properties of Ginzburg-Landau Theory of Superconductivity, Teleparallel Theory of Gravitation, Minkowski Geometry, Curvilinear Coordinates, Motion of Point Particle, Elastic Energy of Solid, Differential Geometry, Academic Press, Riemann Spacetime, Classical Electrodynamics Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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