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

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

1997-03-14

arxiv.org/abs/hep-lat/9703011v1

Phys.Lett. B395 (1997) 257-263

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1016/S0370-2693(97)00125-1

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.

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