Journal of High Energy Physics

, 2012:12

Novel studies on the η effective lagrangian


    • Physics DepartmentSyracuse University
    • Institute of Mathematical Sciences, CIT Campus
  • T. R. Govindarajan
    • Institute of Mathematical Sciences, CIT Campus
  • Amilcar R. de Queiroz
    • Institute of Mathematical Sciences, CIT Campus
    • Instituto de FisicaUniversidade de Brasilia

DOI: 10.1007/JHEP05(2012)012

Cite this article as:
Balachandran, A.P., Govindarajan, T.R. & de Queiroz, A.R. J. High Energ. Phys. (2012) 2012: 12. doi:10.1007/JHEP05(2012)012


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.


Spontaneous Symmetry BreakingChiral LagrangiansAnomalies in Field and String TheoriesQCD

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© SISSA, Trieste, Italy 2012