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A theory is presented for low-frequency current and voltage correlators of amesoscopic conductor embedded in a macroscopic electromagnetic environment.This Keldysh field theory evaluated at its saddle-point provides themicroscopic justification for our earlier phenomenological calculation (usingthe cascaded Langevin approach). The nonlinear feedback from the environmentmixes correlators of different orders, which explains the unexpectedtemperature dependence of the third moment of tunneling noise observed in arecent experiment. At non-zero temperature, current and voltage correlators oforder three and higher are no longer linearly related. We show that a Hall barmeasures voltage correlators in the longitudinal voltage and currentcorrelators in the Hall voltage. We go beyond the saddle-point approximation toconsider the environmental Coulomb blockade. We derive that the leading orderCoulomb blockade correction to the n-th cumulant of current fluctuations isproportional to the voltage derivative of the (n+1)-th cumulant, generalizingto any n the earlier results for n=1,2.Comment: 12 pages, 8 figure

Feedback of the electromagnetic environment on current and voltage fluctuations out of equilibrium