Classical Behavior of Large NN Fermionic Systems

Nov, 1980
25 pages
Published in:
  • Annals Phys. 133 (1981) 13
Report number:
  • HUTP-80/A073

Citations per year

19881989199001
Abstract: (Elsevier)
The large N limit of several fermionic systems in two dimensions is shown to be obtainable by doing classical mechanics. This generalizes results previously derived for bosonic models. For these types of theories, the reduction to a classical system of equations is closely related to the path integral quantization scheme of Dashen. Hasslacher and Neveu. Using this relationship, we are able to gain further insight into the workings of both approaches.
  • FERMION: FIELD THEORY
  • FIELD THEORETICAL MODEL: GROSS-NEVEU
  • SYMMETRY: CHIRAL
  • EXPANSION 1/N
  • QUANTUM MECHANICS: CLASSICAL
  • MANY-BODY PROBLEM
  • FIELD THEORY: PATH INTEGRAL
  • QUANTIZATION
  • FUNCTIONAL ANALYSIS
  • FIELD THEORY: VACUUM STATE