Focusing on the fixed point of 4-D simplicial gravity

Jan, 1996
18 pages
Published in:
  • Nucl.Phys.B 472 (1996) 293-308
e-Print:
Report number:
  • LPTHE-ORSAY-96-08,
  • BI-TP-96-05,
  • ITFA-96-02

Citations per year

1996200320102017202402468101214
Abstract:
Our earlier renormalization group study of simplicial gravity is extended and the evidence for the existence of an isolated ultra-violet fixed point is strengthened. A high statistics study of the volume and coupling constant dependence of the cumulants of the node distribution is carried out. It appears that the phase transition of the theory is of first order, contrary to what is generally believed.
Note:
  • 18 pages in LaTeX, 6 postscript figures Report-no: LPTHE Orsay 96/08, BI-TP 96/06, ITFA-96-2
  • quantum gravity: simplex
  • renormalization group: beta function
  • lattice field theory
  • renormalization: fixed point
  • scaling: finite size
  • coupling constant: dependence
  • dependence: coupling constant
  • critical phenomena
  • cumulant expansion
  • numerical calculations: Monte Carlo