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Hybrid Monte Carlo simulations that implement the fermion action usingmultiple terms are commonly used. By the nature of their formulation theyinvolve multiple integration time scales in the evolution of the system throughsimulation time. These different scales are usually dealt with by theSexton-Weingarten nested leapfrog integrator. In this scheme the choice of timescales is somewhat restricted as each time step must be an exact multiple ofthe next smallest scale in the sequence. A novel generalisation of the nestedleapfrog integrator is introduced which allows for far greater flexibility inthe choice of time scales, as each scale now must only be an exact multiple ofthe smallest step size.

A Novel Multiple-Time Scale Integrator for the Hybrid Monte Carlo Algorithm