Classical Solution of Two Dimensional $R^2$-Gravity and Cross-Over Phenomenon
High Energy Physics - Theory
2010-11-01 v1
Abstract
Two dimensional quantum R-gravity and its phase structure are examined in the semiclassical approach and compared with the results of the numerical simulation. Three phases are succinctly characterized by the effective action. A classical solution of R-Liouville equation is obtained by use of the solution of the ordinary Liouville equation. The partition function is obtained analytically. A toatal derivative term (surface term) plays an important role there. It is shown that the classical solution can sufficiently account for the cross-over transition of the surface property seen in the numerical simulation.
Cite
@article{arxiv.hep-th/9502101,
title = {Classical Solution of Two Dimensional $R^2$-Gravity and Cross-Over Phenomenon},
author = {S. ICHINOSE and N. TSUDA and T. YUKAWA},
journal= {arXiv preprint arXiv:hep-th/9502101},
year = {2010}
}
Comments
16 pages