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We give a quantum field theoretical derivation of the scalarAbraham-Lorentz-Dirac (ALD) equation and the self-force for a scalar chargedparticle interacting with a quantum scalar field in curved spacetime. Weregularize the causal Green's function using a quasi-local expansion in thespirit of effective field theory and obtain a regular expression for theself-force. The scalar ALD equation obtained in this way for the classicalmotion of the particle checks with the equation obtained by Quinn earlier\cite{Quinn}. We further derive a scalar ALD-Langevin equation with a classicalstochastic force accounting for the effect of quantum fluctuations in thefield, which causes small fluctuations on the particle trajectory. Thisequation will be useful for the study of stochastic motion of charges under theinfluence of both quantum and classical noise sources, derived eitherself-consistently (as done here) or put in by hand (with warnings). We show thepossibility of secular effects from such stochastic influences on thetrajectory that may impact on the present calculations of gravitationalwaveform templates.Comment: One appendix added, minor revisions, 20 pages, 2 figures; submitted  to PR

Self-force with a stochastic component from radiation reaction of a scalar charge moving in curved spacetime