Correlation functions and Schwinger-Dyson equations for Penner`s model
Chair, N; Panda, S
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; SCHWINGER FUNCTIONAL EQUATIONS; CORRELATION FUNCTIONS; FREE ENERGY; MATHEMATICAL OPERATORS; QUANTUM FIELD THEORY; 661100; CLASSICAL AND QUANTUM MECHANICS
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.
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
OSTI; NTIS (US Sales Only); INIS
IAEA
1991-05-01
English
Technical Report
Other Information: PBD: May 1991
Medium: X; Size: 9 p.
ON: DE92609086
IC-91/100
Other: ON: DE92609086; TRN: XA9129629081598
INIS; SCA: 661100; PA: AIX-22:081598; SN: 91000608775
2008-02-12
10105561