Abstract
The static effective potential for a scalar field with Φ6 interaction is calculated using the effective action in Schrödinger picture formalism. It is found that the effective potential obtained is same as the Gaussian effective potential as far as static case is concerned. Equivalence with the CJT formalism can also be established. As in CJT formalism after renormalization an unrenormalized mass term persists. Nonzero turning points are obtained both for positive and negativeλ. Results are analysed numerically. Graphical analysis indicates a behaviour similar to that obtained for CJT formalism at zero temperature.
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Satheesh, K.P., Joseph, K.B. Schrödinger picture formalism of Φ6 theory. Pramana - J Phys 49, 591–601 (1997). https://doi.org/10.1007/BF02848332
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DOI: https://doi.org/10.1007/BF02848332
Keywords
- Gaussian trial function
- variational principle
- Schrödinger picture
- static effective potential
- effective action
- renormalization
- CJT formalism
- Gaussian effective potential