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 thepartition function of an (enlarged) four-dimensional lattice gauge theory (LGT) with gauge groupU(1). This result is very general in that it includes models in differentdimensions with different symmetries. In particular, we show that aU(1) LGT defined in a curved spacetime can be mapped to aU(1) LGT with a flat background metric. The result is achieved by expressing theU(1) LGT partition function as an inner product between two quantum states.
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More From: Journal of Statistical Mechanics: Theory and Experiment
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