g-function in perturbation theory

Details g-function in perturbation theory g-function in perturbation theory

2003-10-28

arxiv.org/abs/hep-th/0310258v3

Int.J.Mod.Phys. A19 (2004) 2545-2560

Physics

High Energy Physics

High Energy Physics - Theory

1+14 pages, Latex; v.2: typos corrected; v.3: minor corrections, to appear in IJMP

Scientific paper

10.1142/S0217751X04019469

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 disc. The form of the potential function and metric that we consider were introduced in hep-th/9210065, hep-th/9311177 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.

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