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The U(1) lattice gauge theory universally connects all classical models with continuous variables, including background gravity

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Xu, Ying and De las Cuevas, Gemma and Dür, Wolfgang and Briegel, Hans J. and Martin-Delgado Alcántara, Miguel Ángel (2011) The U(1) lattice gauge theory universally connects all classical models with continuous variables, including background gravity. Journal of statistical mechanics : theory and experiment . ISSN 1742-5468

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Official URL: http://dx.doi.org/10.1088/1742-5468/2011/02/P02013




Abstract

We show that the partition function of many classical models with continuous degrees of freedom, e.g. abelian lattice gauge theories and statistical mechanical models, can be written as the partition function of an (enlarged) four–dimensional lattice gauge theory (LGT) with gauge group U(1). This result is very general that it includes models in different dimensions with different symmetries. In particular, we show that a U(1) LGT defined in a curved spacetime can be mapped to a U(1) LGT with a flat background metric. The result is achieved by expressing the U(1) LGT partition function as an inner product between two quantum states.


Item Type:Article
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© 2011 IOP Publishing Ltd and SISSA. The authors would like to thank Maarten Van den Nest for fruitful discussions and valuable suggestions. The work is supported by the FWF (SFB-F40) and the European Union (QICS, NAMEQUAM), the Spanish MICINN grant FIS2009-10061, CAM research consortium QUITEMAD S2009-ESP-1594, European Commission PICC: FP7 2007-2013. grant no. 249958, UCM-BS grant GICC-910758

Uncontrolled Keywords:Fields; Confinement; 4D.
Subjects:Sciences > Physics > Physics-Mathematical models
ID Code:47844
Deposited On:13 Jun 2018 11:49
Last Modified:13 Jun 2018 14:56

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