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Scattering processes in the massive Schwinger model
Phys. Rev. D 55, 6299 – Published 15 May, 1997
DOI: https://doi.org/10.1103/PhysRevD.55.6299
Abstract
We derive the (matrix-valued) Feynman rules of the mass perturbation theory and use it for the resummation of the -point functions with the help of the Dyson-Schwinger equations. We use these results for a short review of the resulting spectrum of the model and for a discussion of scattering processes. We find that in scattering cross sections all the corresponding resonances and higher particle production thresholds of the model are properly taken into account by our resummed mass perturbation theory, without the need of further approximations.
References (37)
- J. Schwinger, Phys. Rev. 128, 2425 (1962).
- J. Lowenstein and J. Swieca, Ann. Phys. (N.Y.) 68, 172 (1971).
- C. Jayewardena, Helv. Phys. Acta 61, 636 (1988).
- I. Sachs and A. Wipf, Helv. Phys. Acta 65, 653 (1992).
- W. Dittrich and M. Reuter, Selected Topics in Gauge Theories, Lecture Notes in Physics Vol. 244 (Springer-Verlag, Berlin, 1986).
- Y. Frishman, Particles, Quantum Fields and Statistical Mechanics, Lecture Notes in Physics Vol. 32 (Springer-Verlag, Berlin, 1975).
- H. Grosse, Models in Statistical Physics and Quantum Field Theory (Springer-Verlag, Berlin, 1988).
- E. Abdalla, M. Abdalla, and K. D. Rothe, 2 dimensional Quantum Field Theory (World Scientific, Singapore, 1991).
- R. Jackiw, in Current Algebras and Anomalies, edited by S. B. Treiman (World Scientific, Singapore, 1985).
- R. A. Bertlmann, Anomalies in Quantum Field Theory (Clarendon, Oxford, 1996).
- N. P. Ilieva and V. N. Pervushin, Sov. J. Part. Nucl. 22, 275 (1991).
- C. Adam, R. A. Bertlmann, and P. Hofer, Riv. Nuovo Cimento 16, 1 (1993).
- C. Adam, Z. Phys. C 63, 169 (1994).
- A. Casher, J. Kogut, and P. Susskind, Phys. Rev. D 10, 732 (1974).
- J. Kogut and P. Susskind, Phys. Rev. D 11, 3594 (1975).
- S. Coleman, R. Jackiw, and L. Susskind, Ann. Phys. (N.Y.) 93, 267 (1975).
- S. Coleman, Ann. Phys. (N.Y.) 101, 239 (1976).
- J. Fröhlich, Commun. Math. Phys. 47, 233 (1976).
- J. Fröhlich and E. Seiler, Helv. Phys. Acta 49, 889 (1976).
- M. P. Fry, Phys. Rev. D 47, 2629 (1993).
- C. Adam, Phys. Lett. B 363, 79 (1995).
- C. Adam, Phys. Lett. B 382, 383 (1996).
- A. V. Smilga, Phys. Lett. B 278, 371 (1992).
- A. V. Smilga, Phys. Rev. D 46, 5598 (1992).
- A. V. Smilga, Phys. Rev. D 49, 5480 (1994).
- D. J. Gross, I. R. Klebanov, A. V. Matytsin, and A. V. Smilga, Nucl. Phys. B461, 109 (1996).
- E. Abdalla, R. Mohayaee, and A. Zadra, Report No. (unpublished).
- C. Adam, Phys. Lett. B 394, 161 (1997).
- M. Soldate, Ann. Phys. (N.Y.) 158, 433 (1984).
- V. A. Novikov, M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B249, 445 (1985).
- C. Adam, Report No. PM 96/01, (unpublished).
- C. Adam, Phys. Lett. B 382, 111 (1996).
- J. Steele, A. Subramanian, and I. Zahed, Nucl. Phys. B452, 545 (1995).
- C. Gattringer, Report No. (unpublished); Ann. Phys. (N.Y.) 250, 389 (1996).
- C. Adam, Phys. Lett. B 391, 395 (1997).
- C. Adam, Report No. FSUJ-TPI-16/96, (unpublished).
- R. J. Eden, P. V. Landshoff, D. I. Olive, and J. C. Polkinghorne, The Analytic S-Matrix (Cambridge University Press, Cambridge, England, 1966).