Novel studies on the η′ effective lagrangian

A bstract 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 w...

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Bibliographic Details
Published in:The journal of high energy physics 2012-05, Vol.2012 (5), Article 12
Main Authors: Balachandran, A. P., Govindarajan, T. R., de Queiroz, Amilcar R.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Coupling
Dipole moments
Electric dipoles
Elementary Particles
Fermions
Function space
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
Topology
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2012)012