Convergence of nonlinear massive quantum field theory in the Einstein universe.

Details Convergence of nonlinear massive quantum field theory in the Einstein universe. Convergence of nonlinear massive quantum field theory in the Einstein universe.

Sep 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992anphy.218..279s&link_type=abstract

Ann. Phys. (N.Y.), Vol. 218, No. 2, p. 279 - 292

Physics

4

Scientific paper

The authors treat as prototype for four-dimensional nonlinear quantum field theories the gφq theory in the Einstein universe E = R1×S3. The underlying free system is defined by the Klein-Gordon equation in E. They show rigorously that the interaction and total hamiltonians are self-adjoint operators in the free field Hilbert space that depend continuously on g. The boundary condition that the interacting field is asymptotically free in the infinite past is rigorously implemented, and a unitary S-matrix of Yang-Feldman type is given a finite expression. Their formalism agrees with that of conventional relativistic theory within terms of order 1/R, where R is the cosmic distance scale (radius of S3) in laboratory units and ⪆1040fm. The microscopic relevance of cosmic effects is discussed.

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