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Infinitely many regulator fields for chiral fermions

1992/12/15 by Rajamani Narayanan, Herbert Neuberger · 17 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1016/0370-2693(93)90636-v

published as Phys.Lett. B302 (1993) 62-69 · 12 pages, RU-92-58

arxiv created 1992/12/15 · openalex publication_date 1993/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that two recent independent proposals for regularizing a chiral gauge theory stem from one common trick. If the anomaly free complex representation carried by the right handed fermi--fields is r one constructs a vector like theory with flavored right handed fermionic matter in r+ r but with a mass matrix of the order of the cutoff and having an index equal to unity in an infinite dimensional flavor space. We present a Pauli--Villars realization of the trick that is likely to work to all orders in perturbation theory and a lattice version which is argued to produce the correct continuum leading order fermionic contribution to the vacuum polarization tensor and readied for further perturbative checks.

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