Metric for gradient renormalization group flow of the worldsheet sigma model beyond first order

  title={Metric for gradient renormalization group flow of the worldsheet sigma model beyond first order},
  author={Todd A. Oliynyk and Vardarajan Suneeta and Eric Woolgar},
  journal={Physical Review D},
Tseytlin has recently proposed that an action functional exists whose gradient generates to all orders in perturbation theory the Renormalization Group (RG) flow of the target space metric in the worldsheet sigma model. The gradient is defined with respect to a metric on the space of coupling constants which is explicitly known only to leading order in perturbation theory, but at that order is positive semi-definite, as follows from Perelman’s work on the Ricci flow. This gives rise to a… 


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