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pro vyhledávání: '"Abe, Motokazu"'
In this talk, we give the lattice regularized formulation of the mixed 't Hooft anomaly between the $\mathbb{Z}_N$ $1$-form symmetry and the $\theta$ periodicity for $4$d pure Yang-Mills theory, which was originally discussed by Gaiotto $\textit{et a
Externí odkaz:
http://arxiv.org/abs/2401.00495
In this paper, we give a brief overview of generalized symmetries from the point of view of the lattice regularization as a fully regularized framework. At first, we illustrate the generalization of 't~Hooft anomaly matching for higher-form symmetrie
Externí odkaz:
http://arxiv.org/abs/2310.01787
Publikováno v:
Prog. Theor. Exp. Phys. 2023 073B01 (2023)
In lattice compact gauge theories, we must impose the admissibility condition to have well-defined topological sectors. The admissibility condition, however, usually forbids the presence of magnetic operators, and it is not so trivial if one can stud
Externí odkaz:
http://arxiv.org/abs/2304.14815
Topology and generalized symmetries in the $SU(N)/\mathbb{Z}_N$ gauge theory are considered in the continuum and the lattice. Starting from the $SU(N)$ gauge theory with the 't~Hooft twisted boundary condition, we give a simpler explanation of the va
Externí odkaz:
http://arxiv.org/abs/2304.11813
Publikováno v:
JHEP 08 (2023) 118
We extend the definition of L\"uscher's lattice topological charge to the case of $4$d $SU(N)$ gauge fields coupled with $\mathbb{Z}_N$ $2$-form gauge fields. This result is achieved while maintaining the locality, the $SU(N)$ gauge invariance, and $
Externí odkaz:
http://arxiv.org/abs/2303.10977
We construct a non-trivial $U(1)/\mathbb{Z}_q$ principal bundle on~$T^4$ from the compact $U(1)$ lattice gauge field by generalizing L\"uscher's constriction so that the cocycle condition contains $\mathbb{Z}_q$ elements (the 't~Hooft flux). The cons
Externí odkaz:
http://arxiv.org/abs/2210.12967
Publikováno v:
Physical Review
Topology and generalized symmetries in the SU(N)/ZN gauge theory are considered in the continuum and the lattice. Starting from the SU(N) gauge theory with the ’t Hooft twisted boundary condition, we give a simpler explanation of the van Baal’s p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3000::81600db2d9a5706c025d132c7180a482
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Publikováno v:
Journal of High Energy Physics; Aug2023, Vol. 2023 Issue 8, p1-20, 20p