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 Fermifields 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 PauliVillars 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:
 10.1016/03702693(93)90636V
 arXiv:
 arXiv:heplat/9212019
 Bibcode:
 1993PhLB..302...62N
 Keywords:

 High Energy Physics  Lattice;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 12 pages, RU9258