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Chiral perturbation theory in a theta vacuum

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arxiv 0906.4852 v3 pith:GKV5JOGN submitted 2009-06-26 hep-lat hep-ph

classification hep-lathep-ph
keywords thetachiralchpteffectsperturbationpointtermtheory
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A Fluctuation Theory of Topological Susceptibility

    hep-lat 2019-08 reject novelty 3.0 of 10

    The claim that ChPT topological susceptibility fluctuations are always non-interacting relies on a determinant that the paper's own equations show to be nonzero, and the slab sub-volume analysis contains further algeb...

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