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Title: Vacuum structure, stability and non-triviality of λϕ4 theory
Authors: Mahapatra, B P
Santi, N
Pradhan, N B
Issue Date: Sep-2001
Publisher: NISCAIR-CSIR, India
Abstract: Through an explicit construct of the vacuum state in λϕ4 theory by Bogoliubov transformation the authors show variationally that the theory can be rendered stable and non-trivial. The structure of the vacuum so constructed is characterised by a condensate of off-shell particle pairs. The effective potential based on the vacuum emerges identical to that obtained in the Gaussian approximation. In contrast, the effective potential based upon the perturbative vacuum is shown to lead either to an unstable theory or to a trivial one. The two-point correlation-function and the momentum distribution function for the particle-condensate in the vacuum (vacuum structure function) are calculated.
Page(s): 545-552
ISSN: 0975-1041 (Online); 0019-5596 (Print)
Appears in Collections:IJPAP Vol.39(09) [September 2001]

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