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Numerical Study of Multiparticle Production in ϕ4 Theory: Comparison with Analytical Results

  • FIELDS, PARTICLES, AND NUCLEI
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We develop a numerical method to compute the probabilities of multiparticle production in weakly coupled scalar theories. Our technique is based on D.T. Son’s semiclassical method of singular solutions. Applying it to the process \(1 \to n\) in the unbroken four-dimensional \(\lambda {{\phi }^{4}}\) theory, we reproduce the known results at \(1 \ll n \ll {{\lambda }^{{ - 1}}}\).

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ACKNOWLEDGMENTS

Numerical calculations were performed on the Computational Cluster, Theoretical Division, Institute for Nuclear Research, Russian Academy of Sciences.

Funding

This work was supported by the Russian Foundation for Basic Research, project no. 20-32-90013.

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Authors and Affiliations

  1. Institute for Nuclear Research, Russian Academy of Sciences, 117312, Moscow, Russia

    S. V. Demidov, D. G. Levkov & B. R. Farkhtdinov

  2. Moscow Institute of Physics and Technology (National Research University), 141700, Dolgoprudnyi, Moscow region, Russia

    S. V. Demidov & B. R. Farkhtdinov

  3. Institute for Theoretical and Mathematical Physics, Moscow State University, 119991, Moscow, Russia

    D. G. Levkov

Authors
  1. S. V. Demidov
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  2. D. G. Levkov
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  3. B. R. Farkhtdinov
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Correspondence to B. R. Farkhtdinov.

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Demidov, S.V., Levkov, D.G. & Farkhtdinov, B.R. Numerical Study of Multiparticle Production in ϕ4 Theory: Comparison with Analytical Results. Jetp Lett. 114, 649–652 (2021). https://doi.org/10.1134/S0021364021230028

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  • DOI: https://doi.org/10.1134/S0021364021230028

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