g-FUNCTION IN PERTURBATION THEORY
2004 ◽
Vol 19
(15)
◽
pp. 2545-2559
Keyword(s):
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.
2019 ◽
Vol 107
(3)
◽
pp. 392-411
◽
Keyword(s):
2010 ◽
Vol 25
(11)
◽
pp. 2355-2363
◽
Keyword(s):
2004 ◽
Vol 16
(10)
◽
pp. 1291-1348
◽
2001 ◽
Vol 219
(1)
◽
pp. 5-30
◽
1973 ◽
Vol 14
(1)
◽
pp. 44-61
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