On free energy of 2-D black hole in bosonic string theory
Abstrak
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.
Topik & Kata Kunci
Penulis (2)
Vladimir Kazakov
A. Tseytlin
Akses Cepat
- Tahun Terbit
- 2001
- Bahasa
- en
- Total Sitasi
- 50×
- Sumber Database
- Semantic Scholar
- DOI
- 10.1088/1126-6708/2001/06/021
- Akses
- Open Access ✓