Vacuum polarisation induced coupling between Maxwell and Kalb-Ramond Fields

Abstract

We present here a manifestly gauge invariant calculation of vacuum polarization to fermions in the presence of a constant Maxwell and a constant Kalb-Ramond field in four dimensions. The formalism is a generalisation of the one used by Schwinger in his famous paper on gauge invariance and vacuum polarization. We get an explicit expression for the vacuum polarization induced effective Lagrangian for a constant Maxwell field interacting with a constant Kalb-Ramond field. In the weak field limit we get the coupling between the Maxwell field and the Kalb-Ramond field to be $(\tilde{H}.\tilde{F}{)}^2$, where ${\tilde{H}}_{\mu }=\frac{1}{3!}{\epsilon }_{\mu \alpha \beta \lambda }{H}^{\alpha \beta \lambda }$ and $\tilde{F}$ is the dual of $F_{\mu \nu }$.

16 pages, Revtex

References in corpus (1)

• The Dual Phases of Massless/Massive Kalb-Ramond Fields

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