Multi-particle states from the effective action for local composite operators: Anharmonic oscillator
- Institute of Physics, Warsaw University, Bialystok Branch, Lipowa 41, 15-424 Bialystok (Poland)
The effective action for the local composite operator {Phi}{sup 2}({ital x}) in the scalar quantum field theory with {lambda}{Phi}{sup 4} interaction is obtained in the expansion in two-particle-point-irreducible (2PPI) diagrams up to five-loops. The effective potential and 2-point Green{close_quote}s functions for elementary and composite fields are derived. The ground state energy as well as one- and two-particle excitations are calculated for space-time dimension {ital n}=1, when the theory is equivalent to the quantum mechanics of an anharmonic oscillator. The agreement with the exact spectrum of the oscillator is much better than that obtained within the perturbation theory. Copyright {copyright} 1996 Academic Press, Inc.
- OSTI ID:
- 385622
- Journal Information:
- Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 2 Vol. 249; ISSN APNYA6; ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
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