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.
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}
}
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}
}