Physics – Quantum Physics
Scientific paper
2010-10-11
J.Stat.Mech.1102:P02013,2011
Physics
Quantum Physics
Published version, 31 pages, 12 figures; references updated
Scientific paper
10.1088/1742-5468/2011/02/P02013
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.
Briegel Hans J.
Dür Wolfgang
las Cuevas Gemma de
Martin-Delgado Miguel Angel
Xu Ying
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