Classical statistical simulation of quantum field theory

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Abstract

We propose a procedure of computing the n-point function in perturbation theory of the quantum field theory as the average over the complex Gaussian noises in a classical theory. The complex Gaussian noises are the sources for the creation and annihilation of particles and the energy of the resultant configuration is the same as the zero point energy of the corresponding quantum field theory.

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Hirayama, T. (2024). Classical statistical simulation of quantum field theory. Journal of High Energy Physics, 2024(1). https://doi.org/10.1007/JHEP01(2024)097

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