Nonperturbative calculation of the propagator function in a one-dimensional model field theory

Biswas, S. N. ; Vidhani, Thakur (1974) Nonperturbative calculation of the propagator function in a one-dimensional model field theory Physical Review D, 10 (4). pp. 1366-1368. ISSN 0556-2821

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Official URL: http://prd.aps.org/abstract/PRD/v10/i4/p1366_1

Related URL: http://dx.doi.org/10.1103/PhysRevD.10.1366

Abstract

The eigenvalue equation of a model one-dimensional Hamiltonian for a given field with self-interaction has been reduced to a second-order difference equation. A Green's operator for the difference equation is introduced and, identifying the one-particle matrix element of the Green's operator as the propagator function for the field, a continued-fraction representation for the propagator is obtained. A generalized continued-fraction form for the n-particle matrix element of the Green's operator is also given.

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