Supergrassmannian and large N limit of quantum field theory with bosons and fermions

Journal Article · Fri Mar 01 00:00:00 EST 2002 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.1477936· OSTI ID:836783

Konechny, Anatoly; Turgut, O Teoman

We study a large N{sub c} limit of a two-dimensional Yang-Mills theory coupled to bosons and fermions in the fundamental representation. Extending an approach due to Rajeev we show that the limiting theory can be described as a classical Hamiltonian system whose phase space is an infinite-dimensional supergrassmannian. The linear approximation to the equations of motion and the constraint yields the 't Hooft equations for the mesonic spectrum. Two other approximation schemes to the exact equations are discussed.

• Research Organization: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
• Sponsoring Organization: USDOE Director. Office of Science. Office of High Energy and Nuclear Physics. Division of High Energy Physics; National Science Foundation Grant PHY-95-14797 (US)
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 836783
• Report Number(s): LBNL-49348; R&D Project: PTHOPS; TRN: US0500792
• Journal Information: Journal of Mathematical Physics, Vol. 43, Issue 6; Other Information: Submitted to Journal of Mathematical Physics: Volume 43, No.6; Journal Publication Date: 06/2002; PBD: 1 Mar 2002
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSONS
EQUATIONS OF MOTION
FERMIONS
HAMILTONIANS
PHASE SPACE
QUANTUM FIELD THEORY
YANG-MILLS THEORY