TY - JOUR

T1 - Infinitely many regulator fields for chiral fermions

AU - Narayanan, Rajamani

AU - Neuberger, Herbert

N1 - Funding Information:
This research was supported in part by the DOE under grant # DE-FG05-90ER40559.

PY - 1993/3/18

Y1 - 1993/3/18

N2 - 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+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.

AB - 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+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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U2 - 10.1016/0370-2693(93)90636-V

DO - 10.1016/0370-2693(93)90636-V

M3 - Article

AN - SCOPUS:0001846705

VL - 302

SP - 62

EP - 69

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1

ER -