Published August 2001 | Version v1
Journal article Metadata-only

Towards the Matrix Model of M-Theory on a Lattice

Creators

  • 1. M. Smoluchowski Institute of Physics, Jagiellonian University, Cracow (Poland)
  • 2. Service de Physique Theorique CEA-Saclay, Gif sur-Yvette (France)

Description

The Wilson discretization of the dimensionally reduced supersymmetric Yang-Mills theory is constructed. This gives a lattice version of the matrix model of M-theory. An SU(2) model is studied numerically in the quenched approximation for D = 4. The system shows canonical scaling in the continuum limit. A clear signal for a prototype of the ''black hole to strings'' phase transition is found. The pseudocritical temperature is determined and the temperature dependence of the total size of the system is measured in both phases. Further applications are outlined. (author)

Additional details

Publishing Information

Journal Title
Acta Physica Polonica. Series B
Journal Volume
32
Journal Issue
7-8
Journal Page Range
p. 2143-2153
ISSN
0587-4254

INIS

Country of Publication
Poland
Country of Input or Organization
Poland
INIS RN
32044722
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ACTION INTEGRAL; BLACK HOLES; CRITICAL TEMPERATURE; EIGENVALUES; LATTICE FIELD THEORY; MATRICES; STRING MODELS; SU-2 GROUPS; TEMPERATURE DEPENDENCE; YANG-MILLS THEORY
Descriptors DEC
COMPOSITE MODELS; CONSTRUCTIVE FIELD THEORY; EXTENDED PARTICLE MODEL; FIELD THEORIES; INTEGRALS; LIE GROUPS; MATHEMATICAL MODELS; PARTICLE MODELS; PHYSICAL PROPERTIES; QUANTUM FIELD THEORY; QUARK MODEL; SU GROUPS; SYMMETRY GROUPS; THERMODYNAMIC PROPERTIES; TRANSITION TEMPERATURE

Optional Information

Contract/Grant/Project number
KBN Grant 2P03B00814; KBN Grant 2P03B01917
Notes
26 refs, 3 figs, 1 tab
Funding organization
Polish State Committee for Scientific Research, Warsaw (Poland)