Further evidence of a smooth phase in 4D simplicial quantum gravity

Four-dimensional (4D) simplicial quantum gravity coupled to U(1) gauge fields has been studied using Monte-Carlo simulations. A negative string susceptibility exponent is observed beyond the phase-transition point, even if the number of vector fields ( N V ) is 1. We find a scaling relation of the b...

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Bibliographic Details
Published in:Nuclear physics. Section B, Proceedings supplement Proceedings supplement, 1999-03, Vol.73 (1), p.795-797
Main Authors: Egawa, H.S., Fujitsu, A., Horata, S., Tsuda, N., Yukawa, T.
Format: Article
Language:English
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Summary:Four-dimensional (4D) simplicial quantum gravity coupled to U(1) gauge fields has been studied using Monte-Carlo simulations. A negative string susceptibility exponent is observed beyond the phase-transition point, even if the number of vector fields ( N V ) is 1. We find a scaling relation of the boundary volume distributions in this new phase. This scaling relation suggests a fractal structure similar to that of 2D quantum gravity. Furthermore, evidence of a branched polymer-like structure is suggested far into the weak-coupling region, even for N V > 1. As a result, we propose new phase structures and discuss the possibility of taking the continuum limit in a certain region between the crumpled and branched polymer phases.
ISSN:0920-5632
1873-3832
DOI:10.1016/S0920-5632(99)85206-2