Abstract
One interesting question for the exactly solvable Schwinger model is how to infer the exact solution from perturbation theory. We give a systematic procedure of deriving the exact solution from Feynman diagrams of arbitrary order for arbitraryn-point functions. As a byproduct, we derive from perturbation theory exact integral equations that then-point functions have to obey.
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References
J. Schwinger: Phys. Rev.128 (1962) 2425.
J. Lowenstein and J. Swieca: Ann. Phys.68 (1971) 172
E. Abdalla, M. Abdalla, and K.D. Rothe:2-dimensional Quantum Field Theory, World Scientific, Singapore, 1991.
C. Jayewardena: Helv. Phys. Acta61 (1988) 636.
I. Sachs and A. Wipf: Helv. Phys. Acta65 (1992) 653.
C. Adam: Czech. J. Phys.46 (1996) 893; HEP-PH 9501273.
C. Adam: Z. Phys. C63 (1994) 169.
C. Adam: Thesis Universität Wien, 1993.
C. Adam, R.A. Bertlmann, and P. Hofer: Riv. Nuovo Cim.16 (1993) No. 8.
R.A. Bertlmann:Anomalies in quantum field theory, Clarendon Press, Oxford, 1996.
R. Jackiw; inCurrent Algebras and Anomalies (Eds. Treiman et al.), World Scientific, Singapore, 1985.
H. Leutwyler: Helv. Phys. Acta59 (1986) 201.
R.E. Gamboa Saravi, M.A. Muschietti, F.A. Schaposnik, and J.E. Solomin: Ann. Phys.157 (1984) 360.
W. Dittrich and M. Reuter:Selected Topics in Gauge Theories, Lecture Notes in Physics, Vol. 244, Springer, Berlin, 1986.
A.V. Smilga: Phys. Rev. D46 (1992) 5598.
J. Kogut and P. Susskind: Phys. Rev. D10 (1974) 3468;D11 (1975) 1477; 3594.
A. Casher, J. Kogut, and P. Susskind: Phys. Rev. D10 (1974) 732.
J. Kogut and P. Susskind: Phys. Rev. D11 (1975) 3594.
D.J. Gross, I.R. Klebanov, A.V. Matytsin, and A.V. Smilga: Nucl. Phys. B461 (1996) 109, HEP-TH 9511104.
E. Abdalla, R. Mohayaee, and A. Zadra: HEP-TH 9604063.
C. Gattringer and E. Seiler: Ann. Phys.233 (1994) 97.
G.T. Bodwin and E.V. Kovacs: Phys. Rev. D35 (1987) 3198.
Y. Frishman:Quark trapping in a model field theory, Lecture Notes in Physics, Vol. 32, Springer Verlag, Berlin, 1975.
I.O. Stamatescu and T.T. Wu: Nucl. Phys B143 (1978) 503.
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This work was supported by a research stipendium of the University of Vienna.
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Adam, C. Perturbative solution of the schwinger model. Czech J Phys 48, 9–19 (1998). https://doi.org/10.1023/A:1021232112002
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DOI: https://doi.org/10.1023/A:1021232112002