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.To see this we take na along the 4-axis and consider the gauge fixing equations F4i + a4IMi a aiIM4 = 0, i = 1, 2, 3. ... of Ia-functions makes the proof more subtle , but still possible, so that the axial gauge (8.70) can indeed be reached. This isanbsp;...

Title | : | Multivalued Fields in Condensed Matter, Electromagnetism, and Gravitation |

Author | : | Hagen Kleinert |

Publisher | : | World Scientific - 2008 |

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