Planar Random Surfaces on the Lattice
Mar, 19824 pages
Published in:
- Phys.Lett.B 114 (1982) 247-250
- Published: 1982
Report number:
- UT-381-TOKYO
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Abstract: (Elsevier)
We obtain a bound on the asymptotic behavior of the number of planar random surfaces on the lattice, n 0 ( A )<(24( d −1)) A , where A denotes the area of the surface and d is the space-time dimensionality. We also point out that the generating functional of planar random surfaces is given by Z=∫ ∏ μ d A μ exp β ∑ μ≠ν=1 d tr AμAνAμA + μ A + μ − N ∑ μ=1 d tr AμA + μ where A μ is an N × N complex matrix and we take the limit N → ∞ with β / N =1/ λ fixed.- GAUGE FIELD THEORY: U(N)
- GAUGE FIELD THEORY: WILSON LOOP
- LATTICE FIELD THEORY: PLANAR
- LATTICE FIELD THEORY: HIGHER-DIMENSIONAL
- LATTICE FIELD THEORY: CRITICAL PHENOMENA
- EXPANSION 1/N
- CHARGE: TOPOLOGICAL
- MODEL: STRONG COUPLING
- STRONG COUPLING: MODEL
- LATTICE: WEAK COUPLING
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