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arXiv · 0806.2601

Symmetries and exponential error reduction in Yang-Mills theories on the lattice

Michele Della Morte·Leonardo Giusti
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Abstract

The partition function of a quantum field theory with an exact symmetry can be decomposed into a sum of functional integrals each giving the contribution from states with definite symmetry properties. The composition rules of the corresponding transfer matrix elements can be exploited to devise a multi-level Monte Carlo integration scheme for computing correlation functions whose numerical cost, at a fixed precision and at asymptotically large times, increases power-like with the time extent of the lattice. As a result the numerical effort is exponentially reduced with respect to the standard Monte Carlo procedure. We test this strategy in the SU(3) Yang--Mills theory by evaluating the relative contribution to the partition function of the parity odd states.

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Michele Della Morte, Leonardo Giusti. 2009-03-09. Symmetries and exponential error reduction in Yang-Mills theories on the lattice. https://doi.org/10.1016/j.cpc.2009.03.009

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