TY - JOUR

T1 - Correlation functions in two-dimensional quantum gravity coupled to a compact scalar field

AU - Klebanov, Igor R.

AU - Lowe, David A.

N1 - Funding Information:
by DOE by NSF

PY - 1991/10/7

Y1 - 1991/10/7

N2 - We consider the free fermion theory of the finite radius c = 1 matrix model truncated to singlet states. This truncation is expected to be exact for radius R > RKT because the non-singlet states implement the effects of the Kosterlitz-Thouless vortices. We calculate correlation functions of the eigenvalue density, and derive a simple general expression for finite radius correlators in terms of the non-compact ones. We give some explicit genus expansions for correlation functions of momentum operators, and obtain correlators of winding operators by the dual transformation. In conclusion, we discuss continuation to real time and physical interpretation in terms of a massless (1+1)-dimensional theory at finite temperature.

AB - We consider the free fermion theory of the finite radius c = 1 matrix model truncated to singlet states. This truncation is expected to be exact for radius R > RKT because the non-singlet states implement the effects of the Kosterlitz-Thouless vortices. We calculate correlation functions of the eigenvalue density, and derive a simple general expression for finite radius correlators in terms of the non-compact ones. We give some explicit genus expansions for correlation functions of momentum operators, and obtain correlators of winding operators by the dual transformation. In conclusion, we discuss continuation to real time and physical interpretation in terms of a massless (1+1)-dimensional theory at finite temperature.

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U2 - 10.1016/0550-3213(91)80032-H

DO - 10.1016/0550-3213(91)80032-H

M3 - Article

AN - SCOPUS:0009136185

SN - 0550-3213

VL - 363

SP - 543

EP - 554

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 2-3

ER -