Field transformation and Monte Carlo simulations.

Michele Pepe



Abstract

We describe a new method to compute, by stochastic simulations, observables at many values of the parameters $\lambda$ for a model with lattice action ${\cal{S}}(\phi, \lambda)$. Fixed a reference set $\lambda^r$ of parameters, we perform a single simulation using a ``reference action'' ${\cal{S}} (\phi^r, \lambda^r)$ to generate configurations of field $\phi^r$. Then we perform a suitable analytic transformation from the configurations of $\phi^r$ to the ones corresponding to the action ${\cal{S}} (\phi, \lambda)$. Such a transformation allows us to obtain the observables for values of the parameters $\lambda$ close to $\lambda^r$. We present studies on the reliability of the algorithm in the case of the $\phi^4$ model in 2 dimensions.


Elenco dei partecipanti al convegno di Bari.