Massive Schwinger Model within Mass Perturbation Theory
✍ Scribed by Christoph Adam
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 644 KB
- Volume
- 259
- Category
- Article
- ISSN
- 0003-4916
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✦ Synopsis
In this article we give a detailed discussion of the mass perturbation theory of the massive Schwinger model. After discussing some general features and briefly reviewing the exact solution of the massless case, we compute the vacuum energy density of the massive model and some related quantities. We derive the Feynman rules of mass perturbation theory and discuss the exact n-point functions with the help of the Dyson Schwinger equations. Further, we identify the stable and unstable bound states of the theory and compute some bound-state masses and decay widths. Finally we discuss scattering processes, where the resonances and particle production thresholds of the model are properly taken into account by our methods 1997 Academic Press Contents I. Introduction. II. The % vacuum. III. Instanton vacuum and zero modes. IV. Solution of the massless model. V. Vacuum functional and vacuum energy density. VI. Condensates, susceptibilities, and confinement. VII. Feynman rules for mass perturbation theory. VIII. The Schwinger mass. IX. Dyson Schwinger equations and exact n-point functions. A. Two point function. B. Higher n-point functions. X. Bound-state masses and decay widths. A. General bound-state structure. B. n-boson bound-state masses. C. A mixed bound-state mass. D. Decay width computations. XI. Scattering. A. Two-dimensional kinematics. B. Scattering processes. XII. Summary.