High Energy Physics - Lattice
[Submitted on 6 Mar 2024 (v1), last revised 27 May 2024 (this version, v3)]
Title:Yet another lattice formulation of 2D $U(1)$ chiral gauge theory via bosonization
View PDF HTML (experimental)Abstract: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 for anomaly-free theories and thus is completely free from the question of the gauge mode decoupling. In the present paper, we propose a yet another lattice formulation sharing this desired property. A particularly unique point in our formulation is that the vertex operator of the dual scalar field, which carries the vector charge of the fermion and the ``magnetic charge'' in the bosonization, is represented by a ``hole'' excised from the lattice; this is the excision method formulated recently by Abe et al. in a somewhat different context.
Submission history
From: Hiroshi Suzuki [view email][v1] Wed, 6 Mar 2024 03:06:22 UTC (39 KB)
[v2] Wed, 13 Mar 2024 00:23:24 UTC (39 KB)
[v3] Mon, 27 May 2024 05:09:59 UTC (39 KB)
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