Reduction of Dynamical Degrees of Freedom in the Large N Gauge Theory
Jan, 198212 pages
Published in:
- Phys.Rev.Lett. 48 (1982) 1063
Report number:
- UT-378-TOKYO
Citations per year
Abstract: (APS)
It is pointed out that the factorization of disconnected Wilson loop amplitudes implies a major reduction in the dynamical degrees of freedom in the large-N limit of lattice gauge theory; the original model may be replaced by a much simpler one (d is the space-time dimensionality), Z=Πμ[∫ d Uμexp(βν≠Σμ≠ν=1dtrUμUvUμ†Uν†)] Thus the field theory may be reduced to an integration over a finite number of matrices in large-N limit.- Wilson loop
- gauge field theory: U(N)
- expansion 1/N
- factorization
- lattice field theory
- expansion 1/d
- Dyson-Schwinger equation
- critical phenomena
References(10)
Figures(0)