Non-universality in dynamically triangulated random surfaces with extrinsic curvature

Journal Article · Thu Aug 30 00:00:00 EDT 1990 · Modern Physics Letters A; (United States)

DOI:https://doi.org/10.1142/S021773239000192X· OSTI ID:5613927

Baillie, C F; Williams, R D ^[1]; Johnston, D A ^[2]

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1. Caltech Concurrent Computation Program, Pasadena, CA (US)
2. Lancaster Univ. (United Kingdom). Dept. of Physics

Earlier simulations of dynamically triangulated random surfaces with a pure Gaussian (Polyakov) action have suggested that the incorporation of a term which is equivalent to the square of the scalar curvature, R{sup 2}, in the continuum can affect the properties of the surfaces, despite the fact that such a term appears to be irrelevant on dimensional grounds. However, simulations by the current authors and Catterall of dynamically triangulated random surfaces with extrinsic curvature produced essentially identical results despite differing coefficients for the R{sup 2} term. In this paper, the authors show that small (positive or negative) values of this coefficient have little effect but that large values do produce measurable effects. This explains the concordance of our previous results with Catterall's and also provides evidence for nonuniversal behavior in the random surface model.

• OSTI ID: 5613927
• Journal Information: Modern Physics Letters A; (United States), Vol. 5:21; ISSN 0217-7323
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
QUANTUM ELECTRODYNAMICS
SURFACES
RANDOM PHASE APPROXIMATION
FIELD THEORIES
GAUSSIAN PROCESSES
RANDOMNESS
SCALAR FIELDS
ELECTRODYNAMICS
QUANTUM FIELD THEORY
662220* - Quantum Electrodynamics- (1992-)
661100 - Classical & Quantum Mechanics- (1992-)