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Non-perturbative effect of a modified action in matrix models

Technical Report:

Abstract

A modified matrix model action, which may provide the well-defined two dimensional pure gravity theory, proposed by Das, Dhar, Sengupta and Wadia is analyzed non-perturbatively. The perturbative solution in genus expansion is also obtained. It is shown that the specific heat satisfies Painleve equation in the double scaling limit. Thus the modified action is found to be in the same universality class as ordinary matrix models. (author).
Publication Date:
May 01, 1991
Product Type:
Technical Report
Report Number:
YITP/U-91-24
Reference Number:
SCA: 661100; PA: JPN-91:011023; SN: 92000630439
Resource Relation:
Other Information: PBD: May 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; QUANTUM GRAVITY; MATRICES; SPECIFIC HEAT; PARTITION FUNCTIONS; PERTURBATION THEORY; TWO-DIMENSIONAL CALCULATIONS; FREE ENERGY; SCALING LAWS; PHASE TRANSFORMATIONS; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10108984
Research Organizations:
Kyoto Univ., Uji (Japan). Yukawa Inst. for Theoretical Physics
Country of Origin:
Japan
Language:
English
Other Identifying Numbers:
Other: ON: DE92750832; TRN: JP9111023
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
JPN
Size:
10 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Sawada, Shiro, and Ueda, Haruhiko. Non-perturbative effect of a modified action in matrix models. Japan: N. p., 1991. Web.
Sawada, Shiro, & Ueda, Haruhiko. Non-perturbative effect of a modified action in matrix models. Japan.
Sawada, Shiro, and Ueda, Haruhiko. 1991. "Non-perturbative effect of a modified action in matrix models." Japan.
@misc{etde_10108984,
title = {Non-perturbative effect of a modified action in matrix models}
author = {Sawada, Shiro, and Ueda, Haruhiko}
abstractNote = {A modified matrix model action, which may provide the well-defined two dimensional pure gravity theory, proposed by Das, Dhar, Sengupta and Wadia is analyzed non-perturbatively. The perturbative solution in genus expansion is also obtained. It is shown that the specific heat satisfies Painleve equation in the double scaling limit. Thus the modified action is found to be in the same universality class as ordinary matrix models. (author).}
place = {Japan}
year = {1991}
month = {May}
}