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Correlation functions and Schwinger-Dyson equations for Penner`s model

Technical Report:

Abstract

The free energy of Penner`s model exhibits logarithmic singularity in the continuum limit. We show, however, that the one and two point correlators of the usual loop-operators do not exhibit logarithmic singularity. The continuum Schwinger-Dyson equations involving these correlation functions are derived and it is found that within the space of the corresponding couplings, the resulting constraints obey a Virasoro algebra. The puncture operator having the correct (logarithmic) scaling behaviour is identified. (author). 13 refs.
Authors:
Publication Date:
May 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/100
Reference Number:
SCA: 661100; PA: AIX-22:081598; SN: 91000608775
Resource Relation:
Other Information: PBD: May 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; SCHWINGER FUNCTIONAL EQUATIONS; CORRELATION FUNCTIONS; FREE ENERGY; MATHEMATICAL OPERATORS; QUANTUM FIELD THEORY; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10105561
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92609086; TRN: XA9129629081598
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
9 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Chair, N, and Panda, S. Correlation functions and Schwinger-Dyson equations for Penner`s model. IAEA: N. p., 1991. Web.
Chair, N, & Panda, S. Correlation functions and Schwinger-Dyson equations for Penner`s model. IAEA.
Chair, N, and Panda, S. 1991. "Correlation functions and Schwinger-Dyson equations for Penner`s model." IAEA.
@misc{etde_10105561,
title = {Correlation functions and Schwinger-Dyson equations for Penner`s model}
author = {Chair, N, and Panda, S}
abstractNote = {The free energy of Penner`s model exhibits logarithmic singularity in the continuum limit. We show, however, that the one and two point correlators of the usual loop-operators do not exhibit logarithmic singularity. The continuum Schwinger-Dyson equations involving these correlation functions are derived and it is found that within the space of the corresponding couplings, the resulting constraints obey a Virasoro algebra. The puncture operator having the correct (logarithmic) scaling behaviour is identified. (author). 13 refs.}
place = {IAEA}
year = {1991}
month = {May}
}