Phase transition in Liouville theory

Journal Article · Wed Nov 15 00:00:00 EST 1989 · Physical Review (Section) D: Particles and Fields; (USA)

DOI:https://doi.org/10.1103/PhysRevD.40.3402· OSTI ID:5149104

Johnston, D ^[1]

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1. California Institute of Technology, Pasadena, California 91125 (US)

We suggest that the vortices arising in a Kosterlitz-Thouless phase transition in Liouville theory correspond to transitions between different genera, producing the plumber's nightmare'' and other phases that have been predicted in fluid membrane theory from energetic considerations. This transition has previously been invoked by Cates to explain the degeneration of numerical simulations of Gaussian random surfaces into branched polymers. The difficulty in quantizing Liouville theory for {ital d}{gt}1 is conjectured to be due to our insistence on working at a fixed genus.

• OSTI ID: 5149104
• Journal Information: Physical Review (Section) D: Particles and Fields; (USA), Vol. 40:10; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LIOUVILLE THEOREM
PHASE TRANSFORMATIONS
BOSONS
GAUSSIAN PROCESSES
MEMBRANES
NUMERICAL ANALYSIS
PARTITION FUNCTIONS
STRING MODELS
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FUNCTIONS
MATHEMATICAL MODELS
MATHEMATICS
PARTICLE MODELS
QUARK MODEL
645400* - High Energy Physics- Field Theory