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 right handed fermi--fields is $r$ one constructs a vector like theory with flavored right handed fermionic matter in $r+\bar{r}$ 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.

12 pages, RU-92-58

References in corpus (2)

• A Method for Simulating Chiral Fermions on the Lattice
• Chiral Fermions and Anomalies on a Finite Lattice

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