The two-point correlation function of the one-dimensional matrix model

David J. Gross; Igor R. Klebanov; Michael J. Newman

doi:10.1016/0550-3213(91)90158-T

The two-point correlation function of the one-dimensional matrix model

David J. Gross, Igor R. Klebanov, Michael J. Newman

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78 Scopus citations

Abstract

Following Kostov and Ben-Menahem, we calculate the two-puncture correlation function for the one-dimensional matrix model. We find that it depends on the details of discretization for all momenta p. Its only universal features are its vanishing as p → 0 and the appearance of double poles at |p| = n/√α′, n = 1,2,.... We show how to derive these double poles in the conformal gauge treatment of Liouville gravity.

Original language	English (US)
Pages (from-to)	621-634
Number of pages	14
Journal	Nuclear Physics, Section B
Volume	350
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(91)90158-T
State	Published - Feb 25 1991

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0550-3213(91)90158-T

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title = "The two-point correlation function of the one-dimensional matrix model",

abstract = "Following Kostov and Ben-Menahem, we calculate the two-puncture correlation function for the one-dimensional matrix model. We find that it depends on the details of discretization for all momenta p. Its only universal features are its vanishing as p → 0 and the appearance of double poles at |p| = n/√α′, n = 1,2,.... We show how to derive these double poles in the conformal gauge treatment of Liouville gravity.",

author = "Gross, {David J.} and Klebanov, {Igor R.} and Newman, {Michael J.}",

note = "Funding Information: * Research supported in part by NSF grant PHY80-19754 . * * Research supported in part by DOE grant DE-AC02-76WR03072 .",

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T1 - The two-point correlation function of the one-dimensional matrix model

AU - Gross, David J.

AU - Klebanov, Igor R.

AU - Newman, Michael J.

N1 - Funding Information: * Research supported in part by NSF grant PHY80-19754 . * * Research supported in part by DOE grant DE-AC02-76WR03072 .

PY - 1991/2/25

Y1 - 1991/2/25

N2 - Following Kostov and Ben-Menahem, we calculate the two-puncture correlation function for the one-dimensional matrix model. We find that it depends on the details of discretization for all momenta p. Its only universal features are its vanishing as p → 0 and the appearance of double poles at |p| = n/√α′, n = 1,2,.... We show how to derive these double poles in the conformal gauge treatment of Liouville gravity.

AB - Following Kostov and Ben-Menahem, we calculate the two-puncture correlation function for the one-dimensional matrix model. We find that it depends on the details of discretization for all momenta p. Its only universal features are its vanishing as p → 0 and the appearance of double poles at |p| = n/√α′, n = 1,2,.... We show how to derive these double poles in the conformal gauge treatment of Liouville gravity.

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JO - Nuclear Physics, Section B

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ER -

The two-point correlation function of the one-dimensional matrix model

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