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Graphics Processing Units (GPUs) are employed for a numerical determinationof the analytic structure of two-point correlation functions of Quantum FieldTheories. These functions are represented through integrals in d-dimensionalEuclidean momentum space. Such integrals can in general not be solvedanalytically, and therefore one has to rely on numerical procedures to extracttheir analytic structures if needed. After describing the general outline ofthe corresponding algorithm we demonstrate the procedure by providing acompletely worked-out example in four dimensions for which an exact solutionexists. We resolve the analytic structure by highly parallel evaluation of thecorrelation functions momentum space integral in the complex plane. The(logarithmically) divergent integral is regularized by applying a BPHZ-likeTaylor subtraction to the integrand. We find perfect agreement with the exactsolution. The fact that each point in the complex plane does not need anyinformation from other points makes this a perfect candidate for GPU treatment.A significant gain in speed as compared to sequential execution is obtained. Wealso provide typical running times on several GPUs.

Examining the Analytic Structure of Green's Functions: Massive Parallel Complex Integration using GPUs