Coherent-state path integrals in the continuum via geometric de-quantization

TL;DR

This paper introduces a novel method for constructing continuous coherent-state path integrals using half-form quantization, enabling the study of complex operators and interactions through a de-quantization approach.

Contribution

It presents a new de-quantization technique that inverts the quantization process to build consistent path integrals for a broad class of operators.

Findings

Provides a systematic construction of path integrals via half-form quantization.

Extends the method to higher-order operators and interactions.

Enables functional generalizations for complex quantum systems.

Abstract

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.