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An Efficient Method To Calculate Field Theories With Dynamical Fermions

Author

Listed:
  • MARCIA G. DO AMARAL

    (Universidade Federal Fluminense—Instituto de Física, Outeiro de São João Batista s/n, 24020, Niterói, Brasil)

  • M. KISCHINHEVSKY

    (Universidade Federal Fluminense—Instituto de Matemática, Praça do Valonguinho s/n, 24020, Niterói, Brasil)

  • C. ARAGÃO DE CARVALHO

    (Departamento de Física—Pontifícia Univ. Católica do Rio de Janeiro, Rua Marques de São Vicente 225, C.P. 38071, Rio de Janeiro, Brasil)

  • F.L. TEIXEIRA

    (Departamento de Física—Pontifícia Univ. Católica do Rio de Janeiro, Rua Marques de São Vicente 225, C.P. 38071, Rio de Janeiro, Brasil)

Abstract

We discuss the application of the Hybrid Monte Carlo method for models that describe conducting polymers, namely the Su-Schrieffer-Heeger and the Krive-Rozhavskii models. We use a fourth order Leap Frog algorithm, in order to decrease the number of Monte Carlo rejections. We also make a detailed study of which solver has the best performance in each phase of the theory as well as the dependence of the acceptance probability as a function of the time step size and other parameters.

Suggested Citation

  • Marcia G. Do Amaral & M. Kischinhevsky & C. Aragão De Carvalho & F.L. Teixeira, 1991. "An Efficient Method To Calculate Field Theories With Dynamical Fermions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 2(02), pages 561-600.
    • Handle: RePEc:wsi:ijmpcx:v:02:y:1991:i:02:n:s0129183191000895
    DOI: 10.1142/S0129183191000895
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