Lattice Gauge Theory and Two Dimensional Quantum Gravity

Journal Article · 26 August 2020 · PoS - Proceedings of Science

DOI: https://doi.org/10.22323/1.363.0043 · OSTI ID:1834386

Catterall, Simon ^[1]; Yockey, Judah Unmuth ^[2]; Asaduzzaman, Muhammad ^[2]

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1. Syracuse Univ., NY (United States); Syracuse University
2. Syracuse Univ., NY (United States)

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.

• Research Organization: Syracuse Univ., NY (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: SC0019139; SC0009998
• OSTI ID: 1834386
• Journal Information: PoS - Proceedings of Science, Journal Name: PoS - Proceedings of Science Vol. 363; ISSN 1824-8039
• Publisher: SISSACopyright Statement
• Country of Publication: United States
• Language: English