| (on leave from the University of California at Riverside) (2008) | |||||||||||||
Abstract | |||||||||||||
| Existence and uniqueness questions are treated for quantum fields on × S 1 satisfying the nonlinear Klein-Gordon equation (⊓ ⊔ + m 2)φ + λ:P ′ (φ):v = 0, where P is a given real polynomial, bounded below, and v is the physical vacuum. When λ> 0 is sufficiently small, there exists a solution, but it need not be unique unless v is required to depend continuously on λ in certain sense. In particular, there exist two unitarily inequivalent solutions of the equation (⊓ ⊔ + m 2)φ + λ:φ 3:v = 0, for λ> 0 sufficiently small. 1 | |||||||||||||
Publication details | |||||||||||||
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