Reduction of Dynamical Degrees of Freedom in the Large-N Gauge Theory

@article{citeulike:2183718, abstract = {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   U μ exp(β ν≠ Σμ≠ν=1 d tr U μ U v U μ {\dag} U ν {\dag} )] Thus the field theory may be reduced to an integration over a finite number of matrices in large- N limit.}, author = {Eguchi, Tohru and Kawai, Hikaru }, citeulike-article-id = {2183718}, doi = {http://dx.doi.org/10.1103/PhysRevLett.48.1063}, journal = {Physical Review Letters}, keywords = {matrix}, month = {April}, number = {16}, pages = {1063+}, posted-at = {2007-12-31 15:44:38}, priority = {2}, publisher = {American Physical Society}, title = {Reduction of Dynamical Degrees of Freedom in the Large-N Gauge Theory}, url = {http://dx.doi.org/10.1103/PhysRevLett.48.1063}, volume = {48}, year = {1982} }

TY - JOUR ID - citeulike:2183718 L3 - citeulike-article-id:2183718 N2 - 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   U μ exp(β ν≠ Σμ≠ν=1 d tr U μ U v U μ † U ν † )] Thus the field theory may be reduced to an integration over a finite number of matrices in large- N limit. IS - 16 JF - Physical Review Letters TI - Reduction of Dynamical Degrees of Freedom in the Large-N Gauge Theory PB - American Physical Society VL - 48 SP - 1063 KW - matrix AU - Eguchi, Tohru AU - Kawai, Hikaru PY - 1982/04/19/ UR - http://dx.doi.org/10.1103/PhysRevLett.48.1063 ER -