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arXiv · 2607.22501

One-loop effective potential in Kalb-Ramond scalar electrodynamics

Pratik Chattopadhyay·M. J. Neves
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Abstract

In this work, we study the effective potential at one loop for the Kalb-Ramond scalar electrodynamics. The model is based on a complex scalar field coupled to the electromagnetic field as usual, and also to the Kalb-Ramond field through the dual vector associated with the strength tensor of the $2$-form gauge field. There is an additional topological coupling of the electromagnetic field and the Kalb-Ramond field. The quantum corrections generated by the Kalb-Ramond sector are computed using dimensional regularization, and the ultraviolet divergences are removed by introducing the appropriate counterterms, leading to a finite renormalized effective potential. We find that the effective potential at one-loop generates terms of the form $\phi^6$, which is not present in the original bare Lagrangian. As a result, we introduced new counter terms to eliminate such divergences. The theory thus considered is not closed under renormalization.

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Pratik Chattopadhyay, M. J. Neves. 2026-07-24. One-loop effective potential in Kalb-Ramond scalar electrodynamics. https://arxiv.org/abs/2607.22501

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