Anomaly cancellation condition in lattice gauge theory
نویسندگان
چکیده
منابع مشابه
Anomaly Cancellation Condition in Lattice Gauge Theory
We show that, to all orders of powers of the gauge potential, a gauge anomaly A defined on 4-dimensional infinite lattice can always be removed by a local counterterm, provided that A depends smoothly and locally on the gauge potential and that A reproduces the gauge anomaly in the continuum theory in the classical continuum limit: The unique exception is proportional to the anomaly in the cont...
متن کاملAnomaly Cancellation Condition in Abelian Lattice Gauge Theories
We analyze the general solution of the Wess-Zumino consistency condition in abelian lattice gauge theories, without taking the classical continuum limit. We find that, if the anomaly density is a local pseudo-scalar field on the lattice, the non-trivial anomaly is always proportional to the anomaly coefficient in the continuum theory. The possible extension of this result to non-abelian theorie...
متن کاملErrata and Addenda to “ Anomaly Cancellation Condition in Lattice Gauge Theory ”
We correct some intermediate expressions and arguments in Nucl. Phys. B 585 (2000) 471–513. The main results do not change. We also mention some additional observations, including a constraint on a coefficient of the possible nontrivial anomaly which was not given in the paper. PACS numbers: 11.15.Ha, 11.30.Rd
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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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We show the complete cancellation of gauge and gravitational anomalies in the Mtheory of Horava and Witten using their boundary contribution, and a term coming from the existence of two and five-branes. A factor of three discrepancy noted in an earlier work is resolved. We end with a comment on flux quantization. e-mail: [email protected] In the M-theory of Horava and Witten [1] sever...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2000
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(00)00408-9