g-function in perturbation theory

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4 Citations (Scopus)


We present some explicit computations checking a particular form of gradient formula for a boundary beta function in two-dimensional quantum field theory on a disk. The form of the potential function and metric that we consider were introduced in Refs. 16 and 18 in the context of background independent open string field theory. We check the gradient formula to the third order in perturbation theory around a fixed point. Special consideration is given to situations when resonant terms are present exhibiting logarithmic divergences and universal nonlinearities in beta functions. The gradient formula is found to work to the given order.
Original languageEnglish
Pages (from-to)2545-2559
Number of pages15
JournalInternational Journal of Modern Physics A
Issue number15
Publication statusPublished - 20 Jun 2004


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