Neutrinos on the Lattice: The Regularization of a Chiral Gauge Theory

Borrelli, A.; Maiani, L.; Sisto, R.; Rossi, G.C.; Testa, M.

doi:10.1016/0550-3213(90)90041-B

Neutrinos on the Lattice: The Regularization of a Chiral Gauge Theory

1989

22 pages

Published in:

Nucl.Phys.B 333 (1990) 335

Published: 1990

DOI:

10.1016/0550-3213(90)90041-B

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Abstract: (Elsevier)

We discuss the explicit construction of a regularized, e.g. lattice, chiral gauge theory, with or without elementary Higgs fields. In contrast with the vector-like case of QCD, the regularization breaks the chiral gauge invariance. We argue that such a breaking can be compensated by adding all possible, renormalizable counterterms to the naive lattice action. The requirement that the Green functions thus computed satisfy the Slavnov-Taylor identities of BRST symmetry determines the coefficients of the counterterms.

fermion: lattice field theory
gauge field theory: Yang-Mills
fermion: chiral
Higgs model
perturbation theory: higher-order
regularization
n-point function
Slavnov identity
invariance: Becchi-Rouet-Stora
ghost

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