Parity Violating Gravitational Coupling Of Electromagnetic Fields
Parthasarathi Majumdar, Soumitra SenGupta
TL;DR
This paper presents a gauge-invariant formulation of electromagnetic coupling with Einstein-Cartan geometry, highlighting how parity-violating torsion from a Kalb-Ramond field influences gravitational parity violation.
Contribution
It introduces a novel gauge-invariant approach to coupling Maxwell theory with Einstein-Cartan geometry incorporating parity-violating torsion from a Kalb-Ramond field.
Findings
Torsion originates from a massless Kalb-Ramond field with Chern-Simons terms.
The formulation relates torsion-induced parity violation to gravitational parity violation.
Provides a framework for studying parity-violating effects in gravity and electromagnetism.
Abstract
A manifestly gauge invariant formulation of the coupling of the Maxwell theory with an Einstein Cartan geometry is given, where the space time torsion originates from a massless Kalb-Ramond field augmented by suitable U(1) Chern Simons terms.We focus on the situation where the torsion violates parity, and relate it to earlier proposals for gravitational parity violation.
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