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arXiv · hep-lat/9704005

How to Count Kinks: From the Continuum to the Lattice and Back

Marcelo Gleiser·Hans-Reinhard Müller
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Abstract

We investigate the matching between (1+1)-dimensional nonlinear field theories coupled to an external stochastic environment and their lattice simulations. In particular, we focus on how to obtain numerical results which are lattice-spacing independent, and on how to extract the correct effective potential which emerges from the simulations. As an application, we study the thermal production of kink-antikink pairs, obtaining a number density of pairs which is lattice-spacing independent and the effective barrier for pair production, i.e., the effective kink mass.

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Marcelo Gleiser, Hans-Reinhard Müller. 1998-02-04. How to Count Kinks: From the Continuum to the Lattice and Back. https://doi.org/10.1016/s0370-2693(97)01595-5

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