Bound states and the effective potential in field theories
- 15 August 1975
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 12 (4), 1178-1191
- https://doi.org/10.1103/physrevd.12.1178
Abstract
We calculate the leading contribution to the effective potential, under the assumptions that there is a deep bound state and the corresponding pole dominates the one-particle irreducible vertices for spin-zero field theories. We find that has a -power branch point in the plane on the real axis. We show that the power is due to the fact that satisfies an algebraic equation quadratic and cubic in for the cases considered. In the domain of for which is real, the leading pole contribution is negative, allowing for the possibility of an instability in the normal vacuum.
Keywords
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