RT Journal Article
T1 The U(1) lattice gauge theory universally connects all classical models with continuous variables, including background gravity
A1 Xu, Ying
A1 De las Cuevas, Gemma
A1 Dür, Wolfgang
A1 Briegel, Hans J.
A1 Martín-Delgado Alcántara, Miguel Ángel
AB 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.
PB IOP Publishing
SN 1742-5468
YR 2011
FD 2011-02-07
LK https://hdl.handle.net/20.500.14352/42826
UL https://hdl.handle.net/20.500.14352/42826
LA eng
NO © 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
NO Unión Europea. FP7
NO Ministerio de Ciencia e Innovación (MICINN)
NO Comunidad de Madrid
NO Universidad Complutense de Madrid/Banco de Santander
NO FWF
DS Docta Complutense
RD 12 abr 2025