Mathematical derivation of chiral anomaly in lattice gauge theory with Wilson's action

Tetsuya Hattori; Hiroshi Watanabe

doi:10.1063/1.532519

Mathematical derivation of chiral anomaly in lattice gauge theory with Wilson's action

Tetsuya Hattori, Hiroshi Watanabe

Research output: Contribution to journal › Article › peer-review

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Abstract

Chiral U(1) anomaly is derived with mathematical rigor for a Euclidean fermion coupled to a smooth external U(1) gauge field on an even dimensional torus as a continuum limit of lattice regularized fermion field theory with the Wilson term in the action. The present work rigorously proves for the first time that the Wilson term correctly reproduces the chiral anomaly.

Original language	English
Pages (from-to)	4449-4475
Number of pages	27
Journal	Journal of Mathematical Physics
Volume	39
Issue number	9
DOIs	https://doi.org/10.1063/1.532519
Publication status	Published - 1998 Sept
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.532519

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title = "Mathematical derivation of chiral anomaly in lattice gauge theory with Wilson's action",

abstract = "Chiral U(1) anomaly is derived with mathematical rigor for a Euclidean fermion coupled to a smooth external U(1) gauge field on an even dimensional torus as a continuum limit of lattice regularized fermion field theory with the Wilson term in the action. The present work rigorously proves for the first time that the Wilson term correctly reproduces the chiral anomaly.",

author = "Tetsuya Hattori and Hiroshi Watanabe",

year = "1998",

month = sep,

doi = "10.1063/1.532519",

language = "English",

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AU - Watanabe, Hiroshi

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N2 - Chiral U(1) anomaly is derived with mathematical rigor for a Euclidean fermion coupled to a smooth external U(1) gauge field on an even dimensional torus as a continuum limit of lattice regularized fermion field theory with the Wilson term in the action. The present work rigorously proves for the first time that the Wilson term correctly reproduces the chiral anomaly.

AB - Chiral U(1) anomaly is derived with mathematical rigor for a Euclidean fermion coupled to a smooth external U(1) gauge field on an even dimensional torus as a continuum limit of lattice regularized fermion field theory with the Wilson term in the action. The present work rigorously proves for the first time that the Wilson term correctly reproduces the chiral anomaly.

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DO - 10.1063/1.532519

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EP - 4475

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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Mathematical derivation of chiral anomaly in lattice gauge theory with Wilson's action

Abstract

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