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Phase transition in Liouville theory

Johnston, D. (1989) Phase transition in Liouville theory. Physical Review D, 40 (10). pp. 3402-3407. ISSN 2470-0010. doi:10.1103/PhysRevD.40.3402.

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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 d>1 is conjectured to be due to our insistence on working at a fixed genus.

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Additional Information:©1989 The American Physical Society Received 19 June 1989 I would like to thnak Sandip Trivedi for discussions. This work was supported by the Science and Engineering Research Council, United Kingdom.
Issue or Number:10
Record Number:CaltechAUTHORS:JOHprd89
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6650
Deposited By: Archive Administrator
Deposited On:16 Dec 2006
Last Modified:08 Nov 2021 20:35

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