Path Integrals, Coherent States, and Geometric Quantization

Krzysztof Gawędzki

Anatol Odzijewicz

Hiroshi Kuratsuji, Yutaka Mizobuchi

Anatol Odzijewicz

Panagiotis Lykourgias, I. Lyris, A. I. Karanikas

We present a new method for the consistent construction of time-continuous coherent-state path integrals using the theory of half-form quantization. Through the inversion of the quantization procedure we construct a de-quantization map taking first order operators to their corresponding path integrals. We generalize our results using functional techniques, allowing for the consistent path integral study of more general operators, including higher orders and interactions.