g - function in perturbation theory ∗
نویسنده
چکیده
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 [16], [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. ∗This work was supported in part by BSF-American-Israel Bi-National Science Foundation, the Israel Academy of Sciences and Humanities-Centers of Excellence Program, the German-Israel Bi-National Science Foundation. †email address: [email protected]
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