Wick-Cutkosky model in the large-temperature limit
Journal Article
·
· Phys. Rev. D; (United States)
We study the Bethe-Salpeter equation in the simple scalar-scalar model of Wick and Cutkosky in the framework of the instantaneous approximation and the large-temperature limit. Using the stereographic projection technique due to Fock and a theorem for integral equations due to Funk and Hecke, we are led to a second-order difference equation. The condition for the existence of nontrivial solutions of this equation, obtained by use of a Poincare theorem, then yields the temperature-dependent discrete energy spectrum of the model, which is briefly discussed.
- Research Organization:
- School of Environmental Sciences, Jawaharlal Nehru University, New Delhi 110 067, India
- OSTI ID:
- 7186660
- Journal Information:
- Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 37:12; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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