TY - JOUR

T1 - Vortices and the non-singlet sector of the c = 1 matrix model

AU - Gross, David J.

AU - Klebanov, Igor R.

N1 - Funding Information:
" Research supported in part by NSF grant PHYS0-19754. '* Research supported in part by DOE grant DE-AC02-76WRO3072.

PY - 1991/5/6

Y1 - 1991/5/6

N2 - The role of the non-singlet sector of the matrix model representation of c = 1 matter coupled to two-dimensional quantum gravity is studied in the case where the target space is a circle of finite radius. It is argued that this sector decouples for large enough radius, since the non-singlet state energies are logarithmically divergent in the double scaling limit that reproduces continuum surfaces. We identify the degrees of freedom described by this sector as vortices on the world-sheet, which are dynamically irrelevant for large radius (low temperature) but condense at a critical value of the radius, giving rise to a Kosterlitz-Thouless phase transition.

AB - The role of the non-singlet sector of the matrix model representation of c = 1 matter coupled to two-dimensional quantum gravity is studied in the case where the target space is a circle of finite radius. It is argued that this sector decouples for large enough radius, since the non-singlet state energies are logarithmically divergent in the double scaling limit that reproduces continuum surfaces. We identify the degrees of freedom described by this sector as vortices on the world-sheet, which are dynamically irrelevant for large radius (low temperature) but condense at a critical value of the radius, giving rise to a Kosterlitz-Thouless phase transition.

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U2 - 10.1016/0550-3213(91)90363-3

DO - 10.1016/0550-3213(91)90363-3

M3 - Article

AN - SCOPUS:0010826794

SN - 0550-3213

VL - 354

SP - 459

EP - 474

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 2-3

ER -