Chiral perturbation theory in a theta vacuum
High Energy Physics - Lattice
2014-11-20 v3 High Energy Physics - Phenomenology
Abstract
We consider chiral perturbation theory (ChPT) with a non-zero theta term. Due to the CP violating term, the vacuum of chiral fields is shifted to a non-trivial element on the SU(N_f) group manifold. The CP violation also provides mixing of different CP eigenstates, between scalar and pseudoscalar, or vector and axialvector operators. We investigate upto O(theta^2) effects on the mesonic two point correlators of ChPT to the one-loop order. We also address the effects of fixing topology, by using saddle point integration in the Fourier transform with respect to theta.
Cite
@article{arxiv.0906.4852,
title = {Chiral perturbation theory in a theta vacuum},
author = {Sinya Aoki and Hidenori Fukaya},
journal= {arXiv preprint arXiv:0906.4852},
year = {2014}
}
Comments
31 pages, references added, minor corrections, version published in PRD