On the Large Limit in Symplectic Matrix Models
Jul, 19829 pages
Published in:
- Nucl.Phys.B 215 (1983) 307-315
- Published: 1983
Report number:
- BROWN-HET-487
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Abstract: (Elsevier)
We study the large- N behavior of SP( N ) invariant quantum mechanical matrix models. We establish a saddle-point method through the standard collective field technique and find that it produces the correct large- N behavior. We exhibit, therefore, the semiclassical origin at the large- N limit in this model.- FIELD THEORY: ONE-DIMENSIONAL
- QUANTUM MECHANICS: MODEL
- SYMMETRY: SP(N)
- EXPANSION 1/N
- APPROXIMATION: WKB approximation
- FIELD THEORY: COLLECTIVE PHENOMENA
- ALGEBRA: QUATERNION
- APPROXIMATION: EFFECTIVE POTENTIAL
- FIELD EQUATIONS: SOLUTION
- QUANTUM MECHANICS: ENERGY EIGENSTATE
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