Nonperturbative path integral of 2d dilaton gravity and two-loop effects from scalar matter

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15 pages

Scientific paper

10.1016/S0550-3213(97)00796-7

Performing an nonperturbative path integral for the geometric part of a large class of 2d theories without kinetic term for the dilaton field, the quantum effects from scalar matter fields are treated as a perturbation. When integrated out to two-loops they yield a correction to the Polyakov term which is still exact in the geometric part. Interestingly enough the effective action only experiences a renormalization of the dilaton potential.

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