Infinitely many regulator fields for chiral fermions
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 righthanded Fermi-fields is r one constructs a vector like theory with flavored right handed fermionic matter in r+ overliner 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.
- Publication:
-
Physics Letters B
- Pub Date:
- March 1993
- DOI:
- 10.1016/0370-2693(93)90636-V
- arXiv:
- arXiv:hep-lat/9212019
- Bibcode:
- 1993PhLB..302...62N
- Keywords:
-
- High Energy Physics - Lattice;
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory
- E-Print:
- 12 pages, RU-92-58