Bold Diagrammatic Monte Carlo Study of ${\varphi }^4$ Theory

Abstract

By incorporating renormalization procedure into Bold Diagrammatic Monte Carlo (BDMC), we propose a method for studying quantum field theories in the strong coupling regime. BDMC essentially samples Feynman diagrams using local Metropolis-type updates and does not suffer from the sign problem. Applying the method to three dimensional ${\varphi }^4$ theory, we analyze the strong coupling limit of the theory and confirm the existence of a nontrivial IR fixed point in agreement with prior studies. Interestingly, we find that working with bold correlation functions as building blocks of the Monte Carlo procedure, renders the scheme convergent and no further resummation method is needed.

4 pages, 2 figures

References in corpus (3)

• Feynman diagrams versus Fermi-gas Feynman emulator
• Bold Diagrammatic Monte Carlo: When Sign Problem is Welcome
• A method for resummation of perturbative series based on the stochastic solution of Schwinger-Dyson equations

Cited by in corpus (4)

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• Monte Carlo Computation of Spectral Density Function in Real-Time Scalar Field Theory