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Poincare invariance in effective string theories

Harvey B. Meyer
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Abstract

We investigate the dispersion relation of the winding closed-string states in SU(N) gauge theory defined on a d-dimensional hypertorus, in a class of effective string theories. We show that order by order in the asymptotic expansion, each energy eigenstate satisfies a relativistic dispersion relation. This is illustrated in the Luscher-Weisz effective string theory to two-loop order, where the Polyakov loop matrix elements between the vacuum and the closed string states are obtained explicitly. We attempt a generalization of these considerations to the case of compact dimensions transverse to the string.

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Harvey B. Meyer. 2006-07-18. Poincare invariance in effective string theories. https://doi.org/10.1088/1126-6708%2F2006%2F05%2F066

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