Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Onoda, Soma"'
Employing the modified Villain lattice formulation of the axion quantum electrodynamics, we present an alternative and much simpler derivation of the conclusion of~Ref.~\cite{Honda:2024sdz} that the sweep of the axial $U(1)$ non-invertible symmetry o
Externí odkaz:
http://arxiv.org/abs/2405.07669
We study how the symmetry operator of the axial $U(1)$ non-invertible symmetry acts on the 't~Hooft line operator in the $U(1)$ gauge theory by employing the modified Villain-type lattice formulation. We model the axial anomaly by a compact scalar bo
Externí odkaz:
http://arxiv.org/abs/2403.16752
Recently, lattice formulations of Abelian chiral gauge theory in two dimensions have been devised on the basis of the Abelian bosonization. A salient feature of these 2D lattice formulations is that the gauge invariance is \emph{exactly\/} preserved
Externí odkaz:
http://arxiv.org/abs/2403.03420
In $U(1)$ lattice gauge theory with compact $U(1)$ variables, we construct the symmetry operator, i.e.\ the topological defect, for the axial $U(1)$ noninvertible symmetry. This requires a lattice formulation of chiral gauge theory with an anomalous
Externí odkaz:
http://arxiv.org/abs/2401.01331
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
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