Renormalization Group Flows in Sigma--Models Coupled to Two--Dimensional Dynamical Gravity

Details Renormalization Group Flows in Sigma--Models Coupled to Two--Dimensional Dynamical Gravity Renormalization Group Flows in Sigma--Models Coupled to Two--Dimensional Dynamical Gravity

1996-05-17

arxiv.org/abs/hep-th/9605124v1

Nucl.Phys. B483 (1997) 495-513

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 18 pages plus 7 figures

Scientific paper

10.1016/S0550-3213(96)00510-X

We consider a bosonic $\s$--model coupled to two--dimensional gravity. In the semiclassical limit, $c\rightarrow -\infty$, we compute the gravity dressing of the $\b$--functions at two--loop order in the matter fields. We find that the corrections due to the presence of dynamical gravity are {\em not} expressible simply in terms of a multiplicative factor as previously obtained at the one--loop level. Our result indicates that the critical points of the theory are nontrivially influenced and modified by the induced gravity.

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