Multi-particle states from the effective action for local composite operators: Anharmonic oscillator

被引:4
|
作者
Okopinska, A
机构
[1] Institute of Physics, Białystok Branch, Warsaw University, 15-424 Białystok
关键词
D O I
10.1006/aphy.1996.0076
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The effective action for the local composite operator Phi(2)(x) in the scalar quantum field theory with lambda Phi(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'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 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. (C) 1996 Academic Press, Inc.
引用
收藏
页码:367 / 379
页数:13
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