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We present results of the numerical simulation of the two-dimensionalThirring model at finite density and temperature. The severe sign problem isdealt with by deforming the domain of integration into complex field space.This is the first example where a fermionic sign problem is solved in a quantumfield theory by using the holomorphic gradient flow approach, a generalizationof the Lefschetz thimble method.

Monte Carlo calculations of the finite density Thirring model