The two-point function of c = −2 matter coupled to 2D quantum gravity

We construct a reparametrization invariant two-point function for c = −2 conformal matter coupled to two-dimensional quantum gravity. From the two-point function we extract the critical indices ν and η. The results support the quantum gravity version of Fissher's scaling relation. Our approach...

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Bibliographic Details
Published in:Nuclear physics. B 1997-11, Vol.504 (3), p.555-578
Main Authors: Ambjørn, J., Kristjansen, C., Watabiki, Y.
Format: Article
Language:English
Subjects:
2D quantum gravity
c = −2 matter
Fisher scaling
O( n) model on a random lattice
String field theory
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Summary:We construct a reparametrization invariant two-point function for c = −2 conformal matter coupled to two-dimensional quantum gravity. From the two-point function we extract the critical indices ν and η. The results support the quantum gravity version of Fissher's scaling relation. Our approach is based on the transfer matrix formalism and exploits the formulation of the c = −2 string as an O( n) model on a random lattice.
ISSN:0550-3213
1873-1562
DOI:10.1016/S0550-3213(97)00525-7