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Random geometries and real space renormalization group

Abstract

A method of ``blocking`` triangulations that rests on the self-similarity feature of dynamically triangulated random manifolds is proposed and used to define the renormalization group for random geometries. As an illustration, the idea is applied to pure euclidean quantum gravity in 2d. Generalization to more complicated systems and to higher dimensionalities of space-time appears straightforward. ((orig.)).
Authors:
Johnston, D A; [1]  Kownacki, J P; [2]  Krzywicki, A [2] 
  1. Heriot-Watt Univ., Edinburgh (United Kingdom). Dept. of Mathematics
  2. Paris-11 Univ., 91 - Orsay (France). Lab. de Physique Theorique et Hautes Energies
Publication Date:
Apr 01, 1995
Product Type:
Journal Article
Report Number:
CONF-9409269-
Reference Number:
SCA: 662110; PA: AIX-26:064372; EDB-95:132482; SN: 95001458387
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; RENORMALIZATION; QUANTUM GRAVITY; RANDOMNESS; EUCLIDEAN SPACE; GEOMETRY; MATHEMATICAL MANIFOLDS; SPACE-TIME; TWO-DIMENSIONAL CALCULATIONS
OSTI ID:
101080
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF416064372
Submitting Site:
NLN
Size:
pp. 728-730
Announcement Date:
Oct 05, 1995

Citation Formats

Johnston, D A, Kownacki, J P, and Krzywicki, A. Random geometries and real space renormalization group. Netherlands: N. p., 1995. Web. doi:10.1016/0920-5632(95)00364-F.
Johnston, D A, Kownacki, J P, & Krzywicki, A. Random geometries and real space renormalization group. Netherlands. doi:10.1016/0920-5632(95)00364-F.
Johnston, D A, Kownacki, J P, and Krzywicki, A. 1995. "Random geometries and real space renormalization group." Netherlands. doi:10.1016/0920-5632(95)00364-F. https://www.osti.gov/servlets/purl/10.1016/0920-5632(95)00364-F.
@misc{etde_101080,
title = {Random geometries and real space renormalization group}
author = {Johnston, D A, Kownacki, J P, and Krzywicki, A}
abstractNote = {A method of ``blocking`` triangulations that rests on the self-similarity feature of dynamically triangulated random manifolds is proposed and used to define the renormalization group for random geometries. As an illustration, the idea is applied to pure euclidean quantum gravity in 2d. Generalization to more complicated systems and to higher dimensionalities of space-time appears straightforward. ((orig.)).}
doi = {10.1016/0920-5632(95)00364-F}
journal = {Nuclear Physics B, Proceedings Supplements}
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}