Three functions in dilaton gravity: The good, the bad and the muggy

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Dilaton gravity in two dimensions is briefly reviewed from the perspective of three dilaton potentials: One determines classical physics ("the good", denoted by w), the second is relevant for semi-classical (and quantum) effects ("the muggy", denoted by I) and the third could be responsible for nonperturbative quantum effects ("the bad", denoted by Z). This paper is based upon lectures given in Cernowitz in October/November 2002 at The XIV International Hutsulian Workshop Mathematical Theories and their Physical and Technical Applications.
33 pages, 6 figures, lectures given at the XIV International Hutsulian Workshop Mathematical Theories and their Physical and Technical Applications

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