Abstract
Assuming ak −4 singularity for the infrared behaviour of the gluon propagator in QCD, in a Bloch-Nordsieck-type model it is shown that the quark propagator is an entire function or vanishing in the infrared limit depending on the gauge used. In special cases one can restore the free propagator, too.
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References
H. Pagels, Phys. Rev.,D14, 2747 1976;D15, 2991, 1977.
J. S. Ball and F. Zachariasen, Phys. Lett.,106B, 133, 1981.
K. Harada, Progr. Theor. Phys.,68, 1324 (1982).
R. L. Stuller, Phys. Rev.,D13, 513, 1976.
B. A. Arbuzov, Phys. Lett.,125B, 497, 1983.
N. N. Bogoliubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields, Interscience, New York, 1959, p. 503.
W. Kummer, Acta Phys. Austriaca,41, 315, 1975.
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Dedicated to Prof. K. Nagy on his 60th birthday
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Pócsik, G., Torma, T. Infrared asymptotics of the quark propagator in a Bloch-Nordsieck-type model. Acta Physica Hungarica 62, 101–105 (1987). https://doi.org/10.1007/BF03155959
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DOI: https://doi.org/10.1007/BF03155959