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

Published 8 Feb 2018 in hep-th | (1802.02968v3)

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.

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