Monte Carlo simulations and field transformation: the scalar case

Details Monte Carlo simulations and field transformation: the scalar case Monte Carlo simulations and field transformation: the scalar case

1998-07-06

arxiv.org/abs/hep-lat/9807007v1

Nucl.Phys. B538 (1999) 235-248

Physics

High Energy Physics

High Energy Physics - Lattice

Latex, 23 pgs, 8 eps-figures included

Scientific paper

10.1016/S0550-3213(98)00676-2

We describe a new method in lattice field theory to compute observables at various values of the parameters lambda_i in the action S[phi,lambda_i]. Firstly one performs a single simulation of a ``reference action'' S[phi^r, lambda_i^r] with fixed lambda_i^r. Then the phi^r-configurations are transformed into those of a field phi distributed according to S[phi,lambda_i], apart from a ``remainder action'' which enters as a \break weight. In this way we measure the observables at values of lambda_i different from lambda_i^r. We study the performance of the algorithm in the case of the simplest renormalizable model, namely the phi^4 scalar theory on a four dimensional lattice and compare the method with the ``histogram'' technique of which it is a generalization.

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