Getting Around the Nielsen-Ninomiya Theorem, towards the Rome Approach

Abstract

The ``no-go'' theorem of Nielsen and Ninomiya has been the most tenacious obstacle against the construction of a chiral gauge theory with reasonable low energy spectrum, couplings and anomaly. In this paper we construct a model which supplements the usual (bilinear in the Fermi fields) lagrangian with quadrilinear fermionic terms. We show that in a certain region of the parameter space the difficulties of the ``no-go'' theorem may be overcome, and a ``renormalized'' perturbative strategy can be carried out, akin to the one followed in the Rome Approach (RA), whose counterterms are forced to be gauge invariant.

LaTex 12 pages, the version to appear in Phys. Lett. B

References in corpus (3)

• Absence of Chiral Fermions in the Eichten--Preskill Model
• Mass Relation Between Top and Bottom Quarks
• The Propagators of Gauge Bosons on a lattice

Cited by in corpus (1)

• A further study of the possible scaling region of lattice chiral fermions