Abstract
We show that a sequence of dipole states of finite energy introduced by Fredenhagen and Marcu is chargeless upon removal of one of the charges to spatial infinity in certain subsets of the phase diagram of the U(1)-Higgs lattice gauge theory. It is also explicitly seen how this phenomenon is related to the existence of exponential clustering (i.e., of a mass gap). Related properties of dipole states are briefly discussed.
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Communicated by K. Osterwalder
Supported by the Fundacão de Amparo à Pesquisa do Estado de São Paulo (FAPESP). Address after September 1985: II. Institut für Theoretische Physik der Universität Hamburg, Luruper Chaussee 149, D-2000 Hamburg 50, Federal Republic of Germany
Supported by FAPESP. Permanent address: Instituto de Fisica, Universidade de São Paulo, São Paulo, Brazil
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Barata, J.C.A., Wreszinski, W.F. Absence of charged states in the U(1) Higgs lattice gauge theory. Commun.Math. Phys. 103, 637–668 (1986). https://doi.org/10.1007/BF01211168
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DOI: https://doi.org/10.1007/BF01211168