By Hagen Kleinert
This e-book lays the rules of the speculation of fluctuating multivalued fields with a number of purposes. such a lot widespread between those are phenomena ruled by way of the statistical mechanics of line-like gadgets, reminiscent of the part transitions in superfluids and superconductors in addition to the melting means of crystals, and the electromagnetic capability as a multivalued box which could produce a condensate of magnetic monopoles. additionally, multivalued mappings play a very important position in deriving the actual legislation of topic coupled to gauge fields and gravity with torsion from the legislation of loose topic. via cautious research of every of those functions, the publication hence offers scholars and researchers with supplementary interpreting fabric for graduate classes on section transitions, quantum box thought, gravitational physics, and differential geometry.
Contents: fundamentals; motion strategy; non-stop Symmetries and Conservation legislation. Noether s Theorem; Multivalued Gauge changes in Magnetostatics; Multivalued Fields in Superfluids and Superconductors; Dynamics of Superfluids; Dynamics of Charged Superfluid and Superconductor; Relativistic Magnetic Monopoles and electrical cost Confinement; Multivalued Mapping from perfect Crystals to Crystals with Defects; disorder Melting; Relativistic Mechanics in Curvilinear Coordinates; Torsion and Curvature from Defects; Curvature and Torsion from Embedding; Multivalued Mapping precept; box Equations of Gravitation; Minimally Coupled Fields of Integer Spin; debris with Half-Integer Spin; Covariant Conservation legislation; Gravitation of Spinning subject as a Gauge thought; Evanescent homes of Torsion in Gravity; Teleparallel conception of Gravitation; rising Gravity.