Matrix model in - 2 dimensions and its effective field theory

I. R. Klebanov; R. B. Wilkinson

doi:10.1016/0370-2693(90)90722-I

Matrix model in - 2 dimensions and its effective field theory

I. R. Klebanov
, R. B. Wilkinson

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We define a double scaling limit and operators in the d=-2 matrix model. Following Polchinski's argument in d=1, we explain the logarithmic scaling violations in d=-2 in terms of the tachyon effective action. We also show that KPZ scaling follows from Polchinski's argument in other dimensions.

Original language	English (US)
Pages (from-to)	379-387
Number of pages	9
Journal	Physics Letters B
Volume	251
Issue number	3
DOIs	https://doi.org/10.1016/0370-2693(90)90722-I
State	Published - Nov 22 1990

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0370-2693(90)90722-I

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title = "Matrix model in - 2 dimensions and its effective field theory",

abstract = "We define a double scaling limit and operators in the d=-2 matrix model. Following Polchinski's argument in d=1, we explain the logarithmic scaling violations in d=-2 in terms of the tachyon effective action. We also show that KPZ scaling follows from Polchinski's argument in other dimensions.",

author = "Klebanov, \{I. R.\} and Wilkinson, \{R. B.\}",

note = "Funding Information: where/zr is the renormalized cosmological constant. The power of the determinant of the scalar laplacian z/with zero modes removed, can be continued to positive values, corresponding to string theory in negative dimen- Research supported in part by DOE grant DE-AC02-76WRO3072. 2 Research supported in part by UK SERC Postdoctoral Fellowship. \textasciitilde{} The tachyon action was derived directly from the d= 1 matrix model by Das and Jevicki \textbackslash{}[1 1 \textbackslash{}]. \#2 Throughout this paper we use das the number of imbedding dimensions. As we will see, the Liouville mode becomes an extra dimen-sion so that the resulting string theory is d+ l-dimensional.",

year = "1990",

month = nov,

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doi = "10.1016/0370-2693(90)90722-I",

language = "English (US)",

volume = "251",

pages = "379--387",

journal = "Physics Letters B",

issn = "0370-2693",

publisher = "Elsevier B.V.",

number = "3",

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TY - JOUR

T1 - Matrix model in - 2 dimensions and its effective field theory

AU - Klebanov, I. R.

AU - Wilkinson, R. B.

N1 - Funding Information: where/zr is the renormalized cosmological constant. The power of the determinant of the scalar laplacian z/with zero modes removed, can be continued to positive values, corresponding to string theory in negative dimen- Research supported in part by DOE grant DE-AC02-76WRO3072. 2 Research supported in part by UK SERC Postdoctoral Fellowship. ~ The tachyon action was derived directly from the d= 1 matrix model by Das and Jevicki \[1 1 \]. #2 Throughout this paper we use das the number of imbedding dimensions. As we will see, the Liouville mode becomes an extra dimen-sion so that the resulting string theory is d+ l-dimensional.

PY - 1990/11/22

Y1 - 1990/11/22

N2 - We define a double scaling limit and operators in the d=-2 matrix model. Following Polchinski's argument in d=1, we explain the logarithmic scaling violations in d=-2 in terms of the tachyon effective action. We also show that KPZ scaling follows from Polchinski's argument in other dimensions.

AB - We define a double scaling limit and operators in the d=-2 matrix model. Following Polchinski's argument in d=1, we explain the logarithmic scaling violations in d=-2 in terms of the tachyon effective action. We also show that KPZ scaling follows from Polchinski's argument in other dimensions.

UR - https://www.scopus.com/pages/publications/0348024583

UR - https://www.scopus.com/pages/publications/0348024583#tab=citedBy

U2 - 10.1016/0370-2693(90)90722-I

DO - 10.1016/0370-2693(90)90722-I

M3 - Article

AN - SCOPUS:0348024583

SN - 0370-2693

VL - 251

SP - 379

EP - 387

JO - Physics Letters B

JF - Physics Letters B

IS - 3

ER -

Matrix model in - 2 dimensions and its effective field theory

Abstract

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