Worldline quantization of field theory, effective actions and $L_{\infty }$ structure

Abstract

We formulate the worldline quantization of a massive fermion model coupled to external higher spin sources. We use the relations obtained in this way to show that its regularized effective action is endowed with an $L_{\infty }$ symmetry. The same result holds also for a massive scalar model.

arXiv comment23 pages, several minor corrections added

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