Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/98460
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Type: | Journal article |
Title: | Polaron variational methods in the particle representation of field theory. I. General formalism |
Author: | Rosenfelder, R. Schreiber, A.W. |
Citation: | Physical Review D: Particles, Fields, Gravitation and Cosmology, 1996; 53(6):3337-3353 |
Publisher: | American Physical Society |
Issue Date: | 1996 |
ISSN: | 0556-2821 1089-4918 |
Statement of Responsibility: | R. Rosenfelder and A. W. Schreiber |
Abstract: | We apply nonperturbative variational techniques to a relativistic scalar field theory in which heavy bosons (‘‘nucleons’’) interact with light scalar mesons via a Yukawa coupling. Integrating out the meson field and neglecting the nucleon vacuum polarization, one obtains an effective action in terms of the heavy particle coordinates which is nonlocal in the proper time. As in Feynman’s polaron approach, we approximate this action by a retarded quadratic action whose parameters are to be determined variationally on the pole of the two-point function. Several Ansätze for the retardation function are studied and for the most general case we derive a system of coupled variational equations. An approximate analytic solution displays the instability of the system for coupling constants beyond a critical value. |
Rights: | © 1996 The American Physical Society. |
DOI: | 10.1103/PhysRevD.53.3337 |
Published version: | http://dx.doi.org/10.1103/physrevd.53.3337 |
Appears in Collections: | Aurora harvest 3 Physics publications |
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hdl_98460.pdf | Published version | 977.96 kB | Adobe PDF | View/Open |
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