Chiral perturbation theory in a theta vacuum

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.

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

References in corpus (20)

• 2+1 Flavor Lattice QCD toward the Physical Point
• Physical Results from 2+1 Flavor Domain Wall QCD and SU(2) Chiral Perturbation Theory
• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Finite volume QCD at fixed topological charge
• Lattice gauge action suppressing near-zero modes of H_W
• Two-flavor lattice QCD simulation in the epsilon-regime with exact chiral symmetry
• Two-flavor QCD simulation with exact chiral symmetry
• Convergence of the chiral expansion in two-flavor lattice QCD
• Two-flavor lattice QCD in the epsilon-regime and chiral Random Matrix Theory
• Full QCD calculation of neutron electric dipole moment with the external electric field method
• Theta dependence of the vacuum energy in the SU(3) gauge theory from the lattice
• Topological susceptibility in two-flavor lattice QCD with exact chiral symmetry
• Gap Domain Wall Fermions
• Topological Susceptibility to the One-Loop Order in Chiral Perturbation Theory
• Neutron electric dipole moment with external electric field method in lattice QCD
• The Chiral Condensate in a Finite Volume
• Lattice study of meson correlators in the epsilon-regime of two-flavor QCD
• Finite volume effects for the pion mass at two loops
• Three-Flavor Partially Quenched Chiral Perturbation Theory at NNLO for Meson Masses and Decay Constants
• On the two-loop contributions to the pion mass

Cited by in corpus (22)

• FLAG Review 2019
• Review of lattice results concerning low energy particle physics
• $B$- and $D$-meson leptonic decay constants from four-flavor lattice QCD
• Determination of the chiral condensate from QCD Dirac spectrum on the lattice
• Topological Susceptibility in Two Flavors Lattice QCD with the Optimal Domain-Wall Fermion
• Cumulants of the QCD topological charge distribution
• QCD $\theta$-vacuum energy and axion properties
• Probing the chiral regime of Nf=2 QCD with mixed actions
• Effect of the chiral phase transition on axion mass and self-coupling
• Effects of non-equilibrated topological charge distributions on pseudoscalar meson masses and decay constants
• Determining the chiral condensate from the distribution of the winding number beyond topological susceptibility
• Topological susceptibility of QCD with dynamical Möbius domain wall fermions
• In medium properties of axion within a Polyakov loop enhanced Nambu-Jona-Lasinio model
• Interpolation between the epsilon and p regimes
• $\theta$-dependence of the lightest meson resonances in QCD
• Exploring the axion potential and axion walls in dense quark matter
• Topological susceptibility and axion potential in two-flavor superconductive quark matter
• Topological susceptibility in 2+1-flavor QCD with chiral fermions
• Extracting the electro-magnetic pion form factor from QCD in a finite volume
• Does chiral perturbation theory rule out QCD-based solutions to the strong CP problem?
• QCD Vacuum Energy and Its Implication for Quark Nugget Stability
• A Fluctuation Theory of Topological Susceptibility