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Measure dependence of 2D simplicial quantum gravity

Abstract

We study pure 2D Euclidean quantum gravity with R{sup 2} interaction on spherical lattices, employing Regge`s formulation. We attempt to measure the string susceptibility exponent {gamma}{sub str} by using a finite-size scaling Ansatz in the expectation value of R{sup 2}. To check on effects of the path integral measure we investigate two scale invariant measures, the ``computer`` measure dl/l and the Misner measure dl/{radical}(A). ((orig.)).
Authors:
Holm, C; [1]  Janke, W [1] 
  1. Freie Univ. Berlin (Germany). Inst. fuer Theoretische Physik
Publication Date:
Apr 01, 1995
Product Type:
Journal Article
Report Number:
CONF-9409269-
Reference Number:
SCA: 662110; PA: AIX-26:064374; EDB-95:132368; SN: 95001458389
Resource Relation:
Journal Name: Nuclear Physics B, Proceedings Supplements; Journal Volume: 42; Conference: Lattice `94, Bielefeld (Germany), 25 Sep - 1 Oct 1994; Other Information: PBD: Apr 1995
Subject:
66 PHYSICS; LATTICE FIELD THEORY; MEASURE THEORY; QUANTUM GRAVITY; BOUNDARY CONDITIONS; COMPUTER CALCULATIONS; COMPUTERIZED SIMULATION; DIFFERENTIAL GEOMETRY; EUCLIDEAN SPACE; EXPECTATION VALUE; FEYNMAN PATH INTEGRAL; MAGNETIC SUSCEPTIBILITY; METRICS; PARTITION FUNCTIONS; REGGE CALCULUS; SCALE INVARIANCE; SCALING LAWS; STRING MODELS; TWO-DIMENSIONAL CALCULATIONS
OSTI ID:
101084
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF418064374
Submitting Site:
NLN
Size:
pp. 722-724
Announcement Date:
Oct 05, 1995

Citation Formats

Holm, C, and Janke, W. Measure dependence of 2D simplicial quantum gravity. Netherlands: N. p., 1995. Web. doi:10.1016/0920-5632(95)00362-D.
Holm, C, & Janke, W. Measure dependence of 2D simplicial quantum gravity. Netherlands. doi:10.1016/0920-5632(95)00362-D.
Holm, C, and Janke, W. 1995. "Measure dependence of 2D simplicial quantum gravity." Netherlands. doi:10.1016/0920-5632(95)00362-D. https://www.osti.gov/servlets/purl/10.1016/0920-5632(95)00362-D.
@misc{etde_101084,
title = {Measure dependence of 2D simplicial quantum gravity}
author = {Holm, C, and Janke, W}
abstractNote = {We study pure 2D Euclidean quantum gravity with R{sup 2} interaction on spherical lattices, employing Regge`s formulation. We attempt to measure the string susceptibility exponent {gamma}{sub str} by using a finite-size scaling Ansatz in the expectation value of R{sup 2}. To check on effects of the path integral measure we investigate two scale invariant measures, the ``computer`` measure dl/l and the Misner measure dl/{radical}(A). ((orig.)).}
doi = {10.1016/0920-5632(95)00362-D}
journal = {Nuclear Physics B, Proceedings Supplements}
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}