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Chirality and parity in a first-quantized representation

C. D. Fosco
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Abstract

We study the realization of chiral and parity transformations within a particle-like path-integral representation for Dirac fields, showing how those transformations can be implemented in a natural way within the formalism. We then obtain a representation for the chiral fermion propagator and determinant within this framework, and also formulate a way to define the average of the propagator over a random mass in $d=2n$ dimensions.

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C. D. Fosco. 2004-04-08. Chirality and parity in a first-quantized representation. https://arxiv.org/abs/hep-th/0404068

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