Phase structure of four-dimensional simplicial quantum gravity with a U(1) gauge field
Apr, 2000
18 pages
Published in:
- Prog.Theor.Phys. 106 (2001) 1037-1050
e-Print:
- hep-lat/0004021 [hep-lat]
DOI:
Report number:
- KEK-TH-685
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Abstract:
The phase structure of four-dimensional simplicial quantum gravity coupled to U(1) gauge fields has been studied using Monte-Carlo simulations. The smooth phase is found in the intermediate region between the crumpled phase and the branched polymer phase. This new phase has a negative string susceptibility exponent, even if the number of vector fields (Nv) is 1. The phase transition between the crumpled phase and the smooth phase has been studied by a finite size scaling method. From the numerical results, we expect that this model (coupled to one gauge field) has a higher order phase transition than first order, which means the possibility to take the continuum limit at the critical point. Furthermore, we consider a modification of the balls-in-boxes model for a clear understanding of the relation between the numerical results and the analytical one.- quantum gravity: simplex
- gauge field theory: U(1)
- critical phenomena
- scaling: finite size
- triangulation
- string: susceptibility
- continuum limit
- field theory: vector
- numerical calculations: Monte Carlo
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