---
res:
bibo_abstract:
- Using the dynamical triangulation approach we perform a numerical study of a supersymmetric
random surface model that corresponds to the large N limit of the four-dimensional
Version of the IKKT matrix model. We show that the addition of fermionic degrees
of freedom suppresses the spiky world-sheet configurations that are responsible
for the pathological behaviour of the purely bosonic model. We observe that the
distribution of the gyration radius has a power-like tail p(R) similar to R-2.4.
We check numerically that when the number of fermionic degrees of freedom is not
SUSY-balanced, p(R) grows with R and the model is not well-defined. Numerical
sampling of the configurations in the tail of the distribution shows that the
bosonic degrees of freedom collapse to a one-dimensional tube with small transverse
fluctuations. Assuming that the vertex positions can fluctuate independently within
the tube, we give a theoretical argument which essentially explains the behaviour
of p(R) in the different cases, in particular predicting p(R) similar to R-3 in
the supersymmetric case. Extending the argument to six and ten dimensions, we
predict p(R) similar to R-7 and p(R) similar to R-15 respectively. (C) 2001 Elsevier
Science B.V. All rights reserved.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: P
foaf_name: Bialas, P
foaf_surname: Bialas
- foaf_Person:
foaf_givenName: Z
foaf_name: Burda, Z
foaf_surname: Burda
- foaf_Person:
foaf_givenName: Bengt
foaf_name: Petersson, Bengt
foaf_surname: Petersson
foaf_workInfoHomepage: http://www.librecat.org/personId=40337
- foaf_Person:
foaf_givenName: J
foaf_name: Tabaczek, J
foaf_surname: Tabaczek
bibo_doi: 10.1016/S0550-3213(00)00583-6
bibo_issue: 1-2
bibo_volume: '592'
dct_date: 2001^xs_gYear
dct_identifier:
- UT:000166118500018
dct_isPartOf:
- http://id.crossref.org/issn/0550-3213
dct_language: eng
dct_publisher: ELSEVIER SCIENCE BV@
dct_title: Large N limit of the IKKT matrix model@
...