Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-06-30
Phys.Rev. D65 (2002) 085010
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, Revtex
Scientific paper
10.1103/PhysRevD.65.085010
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 ${\tilde H}_{\mu}= {1\over {3!}}\epsilon_{\mu\alpha\beta\lambda}H^{\alpha\beta\lambda}$ and $\tilde F$ is the dual of $F_{\mu\nu}$.
Hari Dass N. D.
Shajesh K. V.
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