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Vacuum polarisation induced coupling between Maxwell and Kalb-Ramond Fields

N. D. Hari Dass·K. V. Shajesh
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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 ${\tilde H}_μ= {1\over {3!}}ε_{μαβλ}H^{αβλ}$ and $\tilde F$ is the dual of $F_{μν}$.

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N. D. Hari Dass, K. V. Shajesh. 2001-06-30. Vacuum polarisation induced coupling between Maxwell and Kalb-Ramond Fields. https://doi.org/10.1103/physrevd.65.085010

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