Resolution of the strong CP and U(1) problems
High Energy Physics - Theory
2007-05-23 v1
Abstract
Definition of the determinant of Euclidean Dirac operator in the nontrivial sector of gauge fields suffers from an inherent ambiguity. The popular Osterwalder-Schrader (OS) recipe for the conjugate Dirac field leads to the option of a vanishing determinant. We propose a novel representation for the conjugate field which depends linearly on the Dirac field and yields a nonvanishing determinant in the nontrivial sector. Physics, it appears, chooses this second option becuase the novel representation leads to a satisfactory resolution of two outstanding problems, the strong CP and U(1) problems, attributed to instanton effects.
Keywords
Cite
@article{arxiv.hep-th/9508065,
title = {Resolution of the strong CP and U(1) problems},
author = {H. Banerjee},
journal= {arXiv preprint arXiv:hep-th/9508065},
year = {2007}
}
Comments
Latex file, 9 pages, no figure