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In this paper, Doi-Peliti field theory is used to describe the motion of freeRun and Tumble particles in arbitrary dimensions. After deriving action andpropagators, the mean square displacement and the corresponding entropyproduction at stationarity are calculated in this framework. We further derivethe field theory of free Active Brownian Particles in two dimensions forcomparison.

Field Theory of Free Run and Tumble Particles in d Dimensions