Lattice gauge theory and two dimensional quantum gravity

Simon Catterall, Judah Unmuth-Yockey, Muhammad Asaduzzaman

Research output: Contribution to journalConference Articlepeer-review


We construct a two dimensional SU(2) lattice gauge theory containing a single adjoint scalar field which, when tuned to a critical point associated to spontaneous breaking of center symmetry, possesses a long distance effective theory which describes two dimensional quantum gravity. The metric is emergent in the theory and depends on the gauge fields with the diffeomorphism symmetry of the continuum metric theory arising from lattice gauge symmetry. Apart from the intrinsic interest in formulating gravity as a lattice gauge theory the construction holds some advantages over traditional numerical approaches eg. dynamical triangulations since it uses only conventional cubic lattices and Wilson gauge links.

Original languageEnglish (US)
Article number043
JournalProceedings of Science
StatePublished - 2019
Event37th International Symposium on Lattice Field Theory, LATTICE 2019 - Wuhan, China
Duration: Jun 16 2019Jun 22 2019

ASJC Scopus subject areas

  • General


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