Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Black holes as quantum membranes: path integral approach   We describe the horizon of a quantum black hole in terms of a dynamical
surface which defines the boundary of space-time as seen by external static
observers, and we define a path integral in the presence of this dynamical
boundary. Using renormalization group arguments, we find that the dynamics of
the horizon is governed by the action of the relativistic bosonic membrane.
{}From the thermodynamical properties of this bosonic membrane we derive the
entropy and the temperature of black holes, and we find agreement with the
standard results. With this formalism we can also discuss the corrections to
the Hawking temperature when the mass $M$ of the black hole approaches the
Planck mass $M_{\rm Pl}$. When $M$ becomes as low as $(10-100) M_{\rm Pl}$ a
phase transition takes place and the specific heat of the black hole becomes
positive.

19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin