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Monte Carlo computation of the spectral density function in the interacting scalar field theory

School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran

E-mail Address: Abbasi@ipm.ir

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and

Ali Davody

School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran

E-mail Address: Davody@ipm.ir

Corresponding author.

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https://doi.org/10.1142/S0217751X1550205XCited by:0 (Source: Crossref)

Abstract

We study the $ϕ^{4}$ $ϕ^{4}$ field theory in d = 4. Using bold diagrammatic Monte Carlo method, we solve the Schwinger–Dyson equations and find the spectral density function of the theory beyond the weak coupling regime. We then compare our result with the one obtained from the perturbation theory. At the end, we utilize our Monte Carlo result to find the vertex function as the basis for the computation of the physical scattering amplitudes.

Keywords:

PACS: 02.70.-c, 02.50.Ey, 11.15.Pg

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