We consider a bosonic σ-model coupled to two-dimensional gravity. In the semiclassical limit, c → -∞, we compute the gravity dressing of the β-functions at two-loop order in the matter fields. We find that the corrections due to the presence of dynamical gravity are 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 non-trivially influenced and modified by the induced gravity.
Penati, S., Santambrogio, A., Zanon, D. (1997). Renormalization group flows in σ-models coupled to two-dimensional dynamical gravity. NUCLEAR PHYSICS. B, 483(1-2), 495-513 [10.1016/S0550-3213(96)00510-X].
Renormalization group flows in σ-models coupled to two-dimensional dynamical gravity
Penati, S.Membro del Collaboration Group
;
1997
Abstract
We consider a bosonic σ-model coupled to two-dimensional gravity. In the semiclassical limit, c → -∞, we compute the gravity dressing of the β-functions at two-loop order in the matter fields. We find that the corrections due to the presence of dynamical gravity are 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 non-trivially influenced and modified by the induced gravity.
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