Semiclassical geometry of 4-D reduced supersymmetric Yang-Mills integrals

Mar, 2005
14 pages
Published in:
  • JHEP 03 (2005) 058
e-Print:

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Abstract:
We investigate semiclassical properties of space-time geometry of the low energy limit of reduced four dimensional supersymmetric Yang-Mills integrals using Monte-Carlo simulations. The limit is obtained by an one-loop approximation of the original Yang-Mills integrals leading to an effective model of branched polymers. We numerically determine the behaviour of the gyration radius, the two-point correlation function and the Polyakov-line operator in the effective model and discuss the results in the context of the large-distance behaviour of the original matrix model.
Note:
  • 14 pages, 5 figures, corrected version v3 Journal-ref: JHEP03 (2005) 058
  • IIB MATRIX MODEL
  • YANG-MILLS INTEGRALS
  • POLYAKOV-LINE
  • BRANCHED POLYMERS
  • gauge field theory: Yang-Mills
  • supersymmetry
  • semiclassical
  • dimensional reduction
  • partition function
  • model: polymer