# Path integrals for stochastic hybrid reaction-diffusion processes

@inproceedings{Bressloff2021PathIF, title={Path integrals for stochastic hybrid reaction-diffusion processes}, author={Paul C. Bressloff}, year={2021} }

We construct a functional path integral for a stochastic hybrid reaction-diffusion (RD) equation, in which the reaction term depends on the discrete state of a randomly switching environment. We proceed by spatially discretizing the RD system and using operator methods and coherent spin states to derive a path integral representation of the lattice model. The path integral specifies the distribution of trajectories in a state-space consisting of the set of local concentrations and the…

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