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Multi-particle States from the Effective Action for Local Composite Operators: Anharmonic Oscillator

✍ Scribed by Anna Okopińska

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
351 KB
Volume
249
Category
Article
ISSN
0003-4916

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✦ Synopsis

The effective action for the local composite operator 8 2 (x) in the scalar quantum field theory with *8 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.

📜 SIMILAR VOLUMES

Optimized Expansion for the Effective Ac
Optimized Expansion for the Effective Action and Multi-particle States in the Scalar Quantum Field Theory
✍ A. Okopinska 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 768 KB

The optimized expansion for the effective action in quantum field theory is discussed to second order. As an example we use the scalar quantum field theory with \(\lambda \phi^{4}\) interaction in one-dimensional space-time, which is equivalent to quantum mechanics of the anharmonic ascillator. The