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• W2000184548 abstract "Trying to interpret recent matrix model results (hep-th/0101011) we discuss computation of classical free energy of exact dilatonic 2-d black hole from the effective action of string theory. The euclidean space-time action evaluated on the black hole background is divergent due to linear dilaton vacuum contribution, and its finite part depends on a subtraction procedure. The thermodynamic approach based on subtracting the vacuum contribution for fixed values of temperature and dilaton charge at the wall gives (as in the leading-order black hole case) S= M/T for the entropy and zero value for the free energy F. We suggest that in order to establish a correspondence with a non-vanishing matrix model result for F one may need an alternative reparametrization-invariant subtraction procedure using analogy with non-critical string theory (i.e. replacing the spatial coordinate by the dilaton field). The subtraction of the dilaton divergence then produces a finite value for the free energy. We also propose a microscopic estimate for the entropy and energy of the black hole based on the contribution of non-singlet states of the matrix model." @default.
• W2000184548 created "2016-06-24" @default.
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• W2000184548 date "2001-06-09" @default.
• W2000184548 modified "2023-10-18" @default.
• W2000184548 title "On free energy of 2-d black hole in bosonic string theory" @default.
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• W2000184548 doi "https://doi.org/10.1088/1126-6708/2001/06/021" @default.
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