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The Ising transition in 2D simplicial quantum gravity - can Regge calculus be right?

Abstract

We report a high statistics simulation of Ising spins coupled to 2D quantum gravity in the Regge calculus approach using triangulated tori with up to 512{sup 2} vertices. For the constant area ensemble and the dl/l functional measure we definitively can exclude the critical exponents of the Ising phase transition as predicted for dynamically triangulated surfaces. We rather find clear evidence that the critical exponents agree with the Onsager values for static regular lattices, independent of the coupling strength of an R{sup 2} interaction term. For exploratory simulations using the lattice version of the Misner measure the situation is less clear. ((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-26:064373; EDB-95:132397; SN: 95001458388
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; ISING MODEL; PHASE TRANSFORMATIONS; LATTICE FIELD THEORY; QUANTUM GRAVITY; COMPUTERIZED SIMULATION; COUPLING; FUNCTIONAL ANALYSIS; MEASURE THEORY; METRICS; ONSAGER RELATIONS; REGGE CALCULUS; TWO-DIMENSIONAL CALCULATIONS
OSTI ID:
101082
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF417064373
Submitting Site:
NLN
Size:
pp. 725-727
Announcement Date:
Oct 05, 1995

Citation Formats

Holm, C, and Janke, W. The Ising transition in 2D simplicial quantum gravity - can Regge calculus be right?. Netherlands: N. p., 1995. Web. doi:10.1016/0920-5632(95)00363-E.
Holm, C, & Janke, W. The Ising transition in 2D simplicial quantum gravity - can Regge calculus be right?. Netherlands. doi:10.1016/0920-5632(95)00363-E.
Holm, C, and Janke, W. 1995. "The Ising transition in 2D simplicial quantum gravity - can Regge calculus be right?" Netherlands. doi:10.1016/0920-5632(95)00363-E. https://www.osti.gov/servlets/purl/10.1016/0920-5632(95)00363-E.
@misc{etde_101082,
title = {The Ising transition in 2D simplicial quantum gravity - can Regge calculus be right?}
author = {Holm, C, and Janke, W}
abstractNote = {We report a high statistics simulation of Ising spins coupled to 2D quantum gravity in the Regge calculus approach using triangulated tori with up to 512{sup 2} vertices. For the constant area ensemble and the dl/l functional measure we definitively can exclude the critical exponents of the Ising phase transition as predicted for dynamically triangulated surfaces. We rather find clear evidence that the critical exponents agree with the Onsager values for static regular lattices, independent of the coupling strength of an R{sup 2} interaction term. For exploratory simulations using the lattice version of the Misner measure the situation is less clear. ((orig.)).}
doi = {10.1016/0920-5632(95)00363-E}
journal = {Nuclear Physics B, Proceedings Supplements}
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}