Parity violating vacuum currents on the random lattice

S. M. Catterall; J. F. Wheater

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

Parity violating vacuum currents on the random lattice

S. M. Catterall, J. F. Wheater

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

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 B
Volume	213
Issue number	2
DOIs	https://doi.org/10.1016/0370-2693(88)91023-4
State	Published - Oct 20 1988
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0370-2693(88)91023-4

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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.",

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AU - Wheater, J. F.

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N2 - 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.

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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Parity violating vacuum currents on the random lattice

Abstract

ASJC Scopus subject areas

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