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Phys. Rev. D 24, 2278–2286 (1981)

Monte Carlo calculations of coupled boson-fermion systems. I

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R. Blankenbecler*
Laboratoire de Physique Théorique et Hautes Energies, University of Paris XI, 91405, Orsay, France

D. J. Scalapino and R. L. Sugar
Institute for Theoretical Physics and Department of Physics, University of California, Santa Barbara, California 93106

Received 15 June 1981; published in the issue dated 15 October 1981

We present a formalism for carrying out Monte Carlo calculations of field theories with both boson and fermion degrees of freedom. The basic approach is to integrate out the fermion degrees of freedom and obtain an effective action for the boson fields to which standard Monte Carlo techniques can be applied. We study the structure of the effective action for a wide class of theories. We develop a procedure for making rapid calculations of the variation in the effective action due to local changes in the boson fields, which is essential for practical numerical calculations.

© 1981 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.24.2278
DOI:
10.1103/PhysRevD.24.2278
PACS:

*Permanent address: Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305.

See Also

See Also: D. J. Scalapino and R. L. Sugar, Monte Carlo calculations of coupled boson-fermion systems. II, Phys. Rev. B 24, 4295 (1981).

 
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