Massless phases and symmetry restoration in abelian gauge theories and spin systems |
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| Authors: | Jürg Fröhlich Thomas Spencer |
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| Affiliation: | (1) Institut des Hautes Etudes Scientifiques, 35, Route de Chartres, F-91440 Bures-sur-Yvette, France;(2) Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, 10012 New York, NY, USA;(3) Present address: Physics Dept., ETH, Zürich, Switzerland |
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| Abstract: | We give a new, elementary proof for the existence of a deconfining transition to a massless (QED) phase in the four-dimensionalU(1) lattice gauge theory and of an intermediate QED phase, accompanied by dynamical restoration of localU(1) invariance, in the four dimensional  N models, withN large. Our methods can also be used to prove the existence of a phase transition in theXY model in three or more dimensions, in three- and four-dimensional abelian Higgs models, and in more general models admitting some local, abelian gauge invariance.Work supported in part by the NSF under grant DMR 81-00417 |
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