Novel studies on the η effective lagrangian

  • A. P. Balachandran
  • T. R. Govindarajan
  • Amilcar R. de Queiroz
Article

Abstract

The effective Lagrangian for η incorporating the effect of the QCD θ-angle has been developed previously. We revisit this Lagrangian and carry out its canonical quantization with particular attention to the test function spaces of constraints and the topology of the η-field. In this way, we discover a new chirally symmetric coupling of this field to chiral multiplets which involves in particular fermions. This coupling violates P and T symmetries. In a subsequent paper, we will evaluate its contribution to the electric dipole moment (EDM) of fermions. Our motivation is to test whether the use of mixed states restores P and T invariance, so that EDM vanishes. This calculation will be shown to have striking new physical consequences.

Keywords

Spontaneous Symmetry Breaking Chiral Lagrangians Anomalies in Field and String Theories QCD 

Copyright information

© SISSA, Trieste, Italy 2012

Authors and Affiliations

  • A. P. Balachandran
    • 1
    • 2
  • T. R. Govindarajan
    • 2
  • Amilcar R. de Queiroz
    • 2
    • 3
  1. 1.Physics DepartmentSyracuse UniversitySyracuseU.S.A.
  2. 2.Institute of Mathematical Sciences, CIT CampusChennaiIndia
  3. 3.Instituto de FisicaUniversidade de BrasiliaBrasiliaBrazil

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