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
On the Effective Potential for Local Composite Operators
β Scribed by E.V. Gorbar
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 116 KB
- Volume
- 277
- Category
- Article
- ISSN
- 0003-4916
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β¦ Synopsis
We show that the effective potential for local composite operators is a useful object in studying dynamical symmetry breaking by calculating the effective potential for the local composite operators and , 2 in the Gross Neveu (GN) and O(N) models, respectively. Since the effective potential for local composite operators can be calculated by using the Cornwall Jackiw Tomboulis (CJT) effective potential in theory with additional bare mass terms, we show that divergences in the effective potential for local composite operators are the same as those in the CJT effective potential. We compare the results obtained with the results given by the auxiliary field method.
π SIMILAR VOLUMES
We study the local lifting property for operator spaces. This is a natural noncommutative analogue of the Banach space local lifting property, but is very different from the local lifting property studied in C\*-algebra theory. We show that an operator space has the \*-local lifting property if and