The Effective Chiral Lagrangian From the Theta Term

Abstract

We construct the effective chiral Lagrangian involving hadronic and electromagnetic interactions originating from the QCD theta term. We impose vacuum alignment at both quark and hadronic levels, including field redefinitions to eliminate pion tadpoles. We show that leading time-reversal-violating (TV) hadronic interactions are related to isospin-violating interactions that can in principle be determined from charge-symmetry-breaking experiments. We discuss the complications that arise from TV electromagnetic interactions. Some implications of the expected sizes of various pion-nucleon TV interactions are presented, and the pion-nucleon form factor is used as an example.

57 pages

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• Finite-volume corrections to the CP-odd nucleon matrix elements of the electromagnetic current from the QCD vacuum angle
• Strong CP violation in nuclear physics
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• Non-derivative Axionic Couplings to Nucleons at large and small N
• $\theta$-dependence of the lightest meson resonances in QCD
• Permanent Electric Dipole Moments of Single-, Two-, and Three-Nucleon Systems
• Relating hadronic CP-violation to higher-twist distributions
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