Schrödinger picture formalism of Φ6 theory

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...

Full description

Saved in:
Bibliographic Details
Published inPramāṇa Vol. 49; no. 6; pp. 591 - 601
Main Authors Satheesh, K P, Joseph, K Babu
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Nature B.V 01.12.1997
Subjects
Formalism
Scalars
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:0304-4289
0973-7111
DOI:10.1007/BF02848332