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Numerical simulation of random paths with a curvature dependent action

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arxiv hep-lat/9607039 v2 pith:JOHMM4FX submitted 1996-07-19 hep-lat

M. Baig , J. Clua , A. Jaramillo This is my paper · ORCID
classification hep-lat
keywords curvaturenumericalrandomresultssimulationactiondependenthigh
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We study an ensemble of closed random paths, embedded in R^3, with a curvature dependent action. Previous analytical results indicate that there is no crumpling transition for any finite value of the curvature coupling. Nevertheless, in a high statistics numerical simulation, we observe two different regimes for the specific heat separated by a rather smooth structure. The analysis of this fact warns us about the difficulties in the interpretation of numerical results obtained in cases where theoretical results are absent and a high statistics simulation is unreachable. This may be the case of random surfaces.

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    A worldline path integral for a massive charged spin-1 particle reproduces the known one-loop Euler-Heisenberg-type Lagrangian and Schwinger pair production rate for vector bosons.

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