Axial-vector anomaly in lattice gauge theory
نویسندگان
چکیده
منابع مشابه
Axial Anomaly in Lattice Abelian Gauge Theory in Arbitrary Dimensions
Axial anomaly of lattice abelian gauge theory in hyper-cubic regular lattice in arbitrary even dimensions is investigated by applying the method of exterior differential calculus. The topological invariance, gauge invariance and locality of the axial anomaly determine the explicit form of the topological part. The anomaly is obtained up to a multiplicative constant for finite lattice spacing an...
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The axial anomaly in abelian lattice gauge theories is shown to be equal to a simple quadratic expression in the gauge field tensor plus a removable divergence term if the lattice Dirac operator satisfies the Ginsparg-Wilson relation. The theorem is a consequence of the locality, the gauge invariance and the topological nature of the anomaly and does not refer to any other properties of the lat...
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A careful and detailed evaluation of the classical continuum limit of the axial anomaly/index density of the overlap Dirac operator is carried out in the infinite volume setting, and in a certain finite volume setting where the continuum limit involves an infinite volume limit. The correct continuum expression is reproduced when the parameter m0 is in the physical region 0 < m0 < 2. This is est...
متن کاملTopology and the axial anomaly in abelian lattice gauge theories Martin Lüscher
The axial anomaly in abelian lattice gauge theories is shown to be equal to a simple quadratic expression in the gauge field tensor plus a removable divergence term if the lattice Dirac operator satisfies the Ginsparg-Wilson relation. The theorem is a consequence of the locality, the gauge invariance and the topological nature of the anomaly and does not refer to any other properties of the lat...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 1981
ISSN: 0556-2821
DOI: 10.1103/physrevd.23.2384