P(phi)/sub 2/ models with variable coefficients

Journal Article · Tue May 01 04:00:00 EDT 1984 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(84)90152-0· OSTI ID:6738940

Dimock, J

We study P(phi)/sub 2/ models with variable coefficients on the nonlinear terms, for example, (D'Alembertian+m/sup 2/)phi+rhophi/sup 3/ = 0. Here rho is a function on spacetime usually of the form rho = rho/sub 0/+rho/sub 1/ with rho/sub 0/ a positive constant and rho/sub 1/ small and localized. For such models we construct solutions which satisfy the CCR, have a causal dependence on rho, and commute at spacelike separation. Asymptotic states and S-matrix elements are constructed when rho/sub 0/ is also small. Finally, we study P(phi0)/sub 2/ models on curved spacetime, for example (g/sup munu//sub ..mu../del/sub ..mu../del/sub ..nu../ +lambdaphi/sup 3/ = 0, and indicate a construction of local solutions.

• Research Organization: Department of Mathematics, SUNY at Buffalo, Buffalo, New York 14214
• OSTI ID: 6738940
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 154:2; ISSN APNYA
• Country of Publication: United States
• Language: English

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