TY - JOUR
T1 - Lattice Gauge Theory and a Random-Medium Ising Model
AU - Skopenkov, Mikhail
N1 - KAUST Repository Item: Exported on 2022-09-14
Acknowledgements: The work is supported by Ministry of Science and Higher Education of the Russian Federation, agreement N075-15-2019-1619.
For the latter conjecture, there have been suggested a proof by K. Izyurov and A. Magazinov, as well as interesting generalizations by M. Fedorov and I. Novikov (private communication) [16 , 17]. The author is grateful to D. Chelkak, H. Duminil-Copin, M. Khristoforov, S. Melikhov, S. Smirnov for useful discussions.
PY - 2022/7/6
Y1 - 2022/7/6
N2 - We study linearization of lattice gauge theory. Linearized theory approximates lattice gauge theory in the same manner as the loop O(n)-model approximates the spin O(n)-model. Under mild assumptions, we show that the expectation of an observable in linearized Abelian gauge theory coincides with the expectation in the Ising model with random edge-weights. We find a similar relation between Yang-Mills theory and 4-state Potts model. For the latter, we introduce a new observable.
AB - We study linearization of lattice gauge theory. Linearized theory approximates lattice gauge theory in the same manner as the loop O(n)-model approximates the spin O(n)-model. Under mild assumptions, we show that the expectation of an observable in linearized Abelian gauge theory coincides with the expectation in the Ising model with random edge-weights. We find a similar relation between Yang-Mills theory and 4-state Potts model. For the latter, we introduce a new observable.
UR - http://hdl.handle.net/10754/679668
UR - https://link.springer.com/10.1007/s11040-022-09430-9
UR - http://www.scopus.com/inward/record.url?scp=85133553929&partnerID=8YFLogxK
U2 - 10.1007/s11040-022-09430-9
DO - 10.1007/s11040-022-09430-9
M3 - Article
SN - 1572-9656
VL - 25
JO - Mathematical Physics Analysis and Geometry
JF - Mathematical Physics Analysis and Geometry
IS - 3
ER -