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Classical Statistical simulation of Quantum Field Theory

High Energy Physics - Theory 2024-01-26 v3 Statistical Mechanics High Energy Physics - Lattice Quantum Physics

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.

Keywords

Cite

@article{arxiv.1912.01648,
  title  = {Classical Statistical simulation of Quantum Field Theory},
  author = {Takayuki Hirayama},
  journal= {arXiv preprint arXiv:1912.01648},
  year   = {2024}
}

Comments

16 pages, 2 figures. v2: decent explanation of the equivalence added, minor corrections, references added. v3: published version

R2 v1 2026-06-23T12:34:52.723Z