Chiral perturbation theory in a theta vacuum

Details Chiral perturbation theory in a theta vacuum Chiral perturbation theory in a theta vacuum

2009-06-26

arxiv.org/abs/0906.4852v3

PhysRevD.81.034022 (2010)

Physics

High Energy Physics

High Energy Physics - Lattice

31 pages, references added, minor corrections, version published in PRD

Scientific paper

10.1103/PhysRevD.81.034022

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.

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