Two-dimensional O(3) model coupled to two-dimensional quantum gravity

Journal Article · Sat Jan 15 00:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.R603· OSTI ID:5288478

Baillie, C F ^[1]; Johnston, D A ^[2]

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1. Computer Science Department, University of Colorado, Boulder, Colorado 80309 (United States)
2. Laboratoire de Physique Theorique et Particules Elementaires, Universite Paris Sud, Batiment 211, F-91405 Orsay (France) Department of Mathematics, Heriot-Watt University, Edinburgh, EH14 4AS (United Kingdom)

It has been suggested that the peak in the specific heat observed numerically for random surface actions with extrinsic curvature on dynamical lattices might be the result of a low mass bound state in an asymptotically free theory, rather than the signal for a real phase transition. The O(3) model on a fixed lattice displays just such behavior, but in general peaks appear to be weakened when the models concerned are put on dynamical lattices (i.e., coupled to two-dimensional quantum gravity). We therefore perform simulations of the O(3) model on dynamical [phi][sup 3] graphs to see if there is still a peak in the specific heat and compare the results with those on fixed lattices.

• DOE Contract Number: FG02-91ER40672
• OSTI ID: 5288478
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 49:2; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
O GROUPS
TWO-DIMENSIONAL CALCULATIONS
QUANTUM GRAVITY
BOUND STATE
LATTICE FIELD THEORY
NUMERICAL ANALYSIS
PHASE TRANSFORMATIONS
SIGNALS
SIMULATION
DYNAMICAL GROUPS
FIELD THEORIES
LIE GROUPS
MATHEMATICS
QUANTUM FIELD THEORY
SYMMETRY GROUPS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
661300 - Other Aspects of Physical Science- (1992-)