Parity violating vacuum currents on the random lattice

Simon M Catterall; J. F. Wheater

doi:10.1016/0370-2693(88)91023-4

Parity violating vacuum currents on the random lattice

Simon M Catterall, J. F. Wheater

Research output: Contribution to journal › Article

3 Scopus citations

Abstract

The Dirac operator is studied both with and without background gauge fieldson a three-dimensional random lattice. It is shown that the correct continuum limit for free fermions is recovered in the zero field case and the doubling problem evaded at tree level, the doubles acquiring masses of order the cut-off and decoupling from long-distance physics. The vacuum current is calculated in the presence of a nontrivial U(1) field and shown to be in agreement with continuum calculations.

Original language	English (US)
Pages (from-to)	186-190
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	213
Issue number	2
DOIs	https://doi.org/10.1016/0370-2693(88)91023-4
State	Published - Oct 20 1988
Externally published	Yes

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ASJC Scopus subject areas

Nuclear and High Energy Physics

Cite this

Catterall, S. M., & Wheater, J. F. (1988). Parity violating vacuum currents on the random lattice. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 213(2), 186-190. https://doi.org/10.1016/0370-2693(88)91023-4

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AB - The Dirac operator is studied both with and without background gauge fieldson a three-dimensional random lattice. It is shown that the correct continuum limit for free fermions is recovered in the zero field case and the doubling problem evaded at tree level, the doubles acquiring masses of order the cut-off and decoupling from long-distance physics. The vacuum current is calculated in the presence of a nontrivial U(1) field and shown to be in agreement with continuum calculations.

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Access to Document

10.1016/0370-2693(88)91023-4