Worldline quantization of field theory, effective actions and L ∞ structure

Abstract

Abstract We formulate the worldline quantization (a.k.a. deformation 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 ∞ symmetry. The same result holds also for a massive scalar model.

Keywords

• Higher Spin Gravity
• Non-Commutative Geometry
• Models of Quantum Gravity