Vortex, Defect, and Monopole Gauge Fields for Nambu-Goldstone Systems and their Phase Transitions or Theory of Fluctuating Multivalued Fields

Physics – Condensed Matter

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PostScript file. For related work see http://www.physik.fu-berlin.de/kleiner_re.html or http://www.physik.fu-berlin.de/klein

Scientific paper

We survey the various uses of singular gauge fields which render an ideal description of ensembles of line- and surface-like excitations and explain phase transitions with the help of simple quadratic actions. Near a transition, the singular gauge fields can be transformed into ordinary complex fields called disorder fields which differ from Landau's order fields by developing a nonzero expectation value in the high-temperature phase.

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