Exactly Marginal Operators and Running Coupling Constants in 2D Gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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22 pages, plain Tex, CALT-68-1817 (Some modifications but same results. Figures will be faxed upon request.)

Scientific paper

10.1016/0550-3213(93)90483-6

The Liouville action for two--dimensional quantum gravity coupled to interacting matter contains terms that have not been considered previously. They are crucial for understanding the renormalization group flow and can be observed in recent matrix model results for the phase diagram of the Sine--Gordon model coupled to gravity. These terms insure, order by order in the coupling constant, that the dressed interaction is exactly marginal. They are discussed up to second order.

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