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On the overlap prescription for lattice regularization of chiral fermions

Abstract

Feynman rules for the vacuum amplitude of fermions coupled to external gauge and Higgs fields in a domain wall lattice model are derived using time-dependent perturbation theory. They have a clear and simple structure corresponding to 1-loop vacuum graphs. Their continuum approximations are extracted by isolating the infrared singularities and it is shown that, in each order, they reduce to vacuum contributions for chiral fermions. In this sense the lattice model is seen to constitute a valid regularization of the continuum theory of chiral fermions coupled to weak and slowly varying gauge and Higgs fields. The overlap amplitude, while not gauge invariant, exhibits a well defined (module phase conventions) response to gauge transformations of the background fields. This response reduces in the continuum limit to the expected chiral anomaly, independently of the phase convention. (author). 20 refs.
Publication Date:
Dec 01, 1995
Product Type:
Technical Report
Report Number:
IC-95/399
Reference Number:
SCA: 662110; PA: AIX-27:046260; EDB-96:096610; NTS-96:018733; SN: 96001603754
Resource Relation:
Other Information: PBD: Dec 1995
Subject:
66 PHYSICS; FERMIONS; LATTICE FIELD THEORY; CHIRALITY; HIGGS MODEL
OSTI ID:
240552
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE96626405; TRN: XA9641642046260
Availability:
INIS; OSTI as DE96626405
Submitting Site:
INIS
Size:
32 p.
Announcement Date:

Citation Formats

Randjbar-Daemi, S, and Strathdee, J. On the overlap prescription for lattice regularization of chiral fermions. IAEA: N. p., 1995. Web.
Randjbar-Daemi, S, & Strathdee, J. On the overlap prescription for lattice regularization of chiral fermions. IAEA.
Randjbar-Daemi, S, and Strathdee, J. 1995. "On the overlap prescription for lattice regularization of chiral fermions." IAEA.
@misc{etde_240552,
title = {On the overlap prescription for lattice regularization of chiral fermions}
author = {Randjbar-Daemi, S, and Strathdee, J}
abstractNote = {Feynman rules for the vacuum amplitude of fermions coupled to external gauge and Higgs fields in a domain wall lattice model are derived using time-dependent perturbation theory. They have a clear and simple structure corresponding to 1-loop vacuum graphs. Their continuum approximations are extracted by isolating the infrared singularities and it is shown that, in each order, they reduce to vacuum contributions for chiral fermions. In this sense the lattice model is seen to constitute a valid regularization of the continuum theory of chiral fermions coupled to weak and slowly varying gauge and Higgs fields. The overlap amplitude, while not gauge invariant, exhibits a well defined (module phase conventions) response to gauge transformations of the background fields. This response reduces in the continuum limit to the expected chiral anomaly, independently of the phase convention. (author). 20 refs.}
place = {IAEA}
year = {1995}
month = {Dec}
}