Multivalued fields in condensed matter, electromagnetism, and gravitation
By: Hagen Kleinert.
Publisher: World Scientific; World Scientific Publishing Company
Published: 2008
Place of publication: Hackensack, NJ
Language: eng
Number of pages: 497
ISBN-13: 9789812791702; 9789812791719
Subjects: Valued fields.; Field theory (Physics)
Description: "This book lays the foundations of a theory of fluctuating multivalued fields with numerous applications. Most prominent are phenomena dominated by the statistical mechanics of line-like objects, such as the phase transitions in super-fluids and superconductors, and the melting process of crystals, all being the consequence of a condensation of vortex or defect lines. The phenomenon of charge confinement can also be explained if the electromagnetic potential is a multivalued field which is able lo produce a condensate of magnetic monopoles. There an electric version of the Meissner effect leads to electric flux tubes between charges which bind them permanently together. A third application defines the mathematics of Riemann-Cartan geometry with curvature and torsion and the associated laws of gravity from a new model of spacetime: a world-crystal with translational and rotational defects." "The book provides students.and researchers with supplementary reading material for graduate courses on phase transitions, quantum field theory, gravitational physics, and differential geometry."--Jacket.
Notes: Includes bibliographical references and index.