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arXiv · hep-lat/9212019

Infinitely many regulator fields for chiral fermions

Rajamani Narayanan·Herbert Neuberger
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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.

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Rajamani Narayanan, Herbert Neuberger. 1992-12-15. Infinitely many regulator fields for chiral fermions. https://doi.org/10.1016/0370-2693(93)90636-v

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