Geometric Entropy of Nonrelativistic Fermions and Two Dimensional Strings

Details Geometric Entropy of Nonrelativistic Fermions and Two Dimensional Strings Geometric Entropy of Nonrelativistic Fermions and Two Dimensional Strings

1995-01-20

arxiv.org/abs/hep-th/9501090v3

Phys.Rev. D51 (1995) 6901-6908

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 19 pages, no figures. Some references added

Scientific paper

10.1103/PhysRevD.51.6901

We consider the geometric entropy of free nonrelativistic fermions in two dimensions and show that it is ultraviolet finite for finite fermi energies, but divergent in the infrared. In terms of the corresponding collective field theory this is a {\em nonperturbative} effect and is related to the soft behaviour of the usual thermodynamic entropy at high temperatures. We then show that thermodynamic entropy of the singlet sector of the one dimensional matrix model at high temperatures is governed by nonperturbative effects of the underlying string theory. In the high temperature limit the ``exact'' expression for the entropy is regular but leads to a negative specific heat, thus implying an instability. We speculate that in a properly defined two dimensional string theory, the thermodynamic entropy could approach a constant at high temperatures and lead to a geometric entropy which is finite in the ultraviolet.

Affiliated with

Also associated with

No associations

Rating

Geometric Entropy of Nonrelativistic Fermions and Two Dimensional Strings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Geometric Entropy of Nonrelativistic Fermions and Two Dimensional Strings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric Entropy of Nonrelativistic Fermions and Two Dimensional Strings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-702086