Abstract
We address anticipated fermion–antifermion and dimension-4 gauge-field vacuum-condensate contributions to the magnetic portion of the fermion–photon vertex function in the presence of a vacuum with nonperturbative content, such as that of QCD. We discuss how inclusion of such condensate contributions may lead to a vanishing anomalous magnetic moment, in which case vacuum condensates may account for the apparent consistency between constituent quark masses characterizing baryon magnetic moments and those characterizing baryon spectroscopy.
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REFERENCES
J. Schwinger, Phys Rev. 73, 416 (1948).
R. P. Feynman, Phys. Rev. 76, 749, 769 (1949).
M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B 147, 385, 448 (1979).
M. A. B. Beg, B. W. Lee, and A. Pais, Phys. Rev. Lett. 13, 514, 650 (1964).
A. De Rújula, H. Georgi, and S. Glashow, Phys. Rev. D 12, 147 (1975).
N. Isgur and G. Karl, Phys. Rev. D 20, 1191 (1979).
D. H. Perkins, Introduction to High Energy Physics, 3rd edn. (Addison-Wesley, Reading, MA, 1986), pp. 160–163.
A. C. Mattingly and P. M. Stevenson, Phys. Rev. Lett. 69, 1320 (1992); Phys. Lett. D 49 437 (1994). P. M. Stevenson, Phys. Lett. B 331, 187 (1994).
L. R. Baboukhadia, V. Elias, and M. D. Scadron, J. Phys. G 23, 1065 (1997).
P. Fomin and V. A. Miransky, Phys. Lett. B 64, 166 (1976). P. Fomin, V. Gusynin, V. A. Miransky, and Y. Sitenko, Rev. Nuovo Cim. 6, 1 (1983).
T. Banks and A. Zaks, Nucl. Phys. B 196, 173 (1982). Y. Iwasaki, K. Kanaya, S. Sakai, and T. Yoshié, Phys. Rev. Lett. 69, 21 (1992). T. Appelquist, J. Terning, and L. C. R. Wijewardhana, Phys. Rev. Lett. 77, 1214 (1996). V. A. Miransky and K. Yamawaki, Phys. Rev. D 55, 5051 (1997). E. Gardi and M. Karliner, Nucl. Phys. B 529, 383 (1998).
V. Elias, T.G. Steele, F. Chistie, R. Migneron, and K. Sprague, Phys. Rev. D 58, 116007 (1998).
F. A. Chishtie, V. Elias, V. A. Miransky, and T. G. Steele, hep-ph/9905291.
Yu. L. Dokshitzer, in ICHEP '98: Proceedings of the 29th International Conference on High Energy Physics, A. Astbury, D. Axen, and J. Robinson, eds. (World Scientific, Singapore, 1999), pp. 305–326.
P. Pascual and R. Tarrach, QCD: Renormalization for the Practitioner (Lecture Notes in Physics, No. 194) (Springer, Berlin, 1984), pp. 168–191.
E. Bagan, M. R. Ahmady, V. Elias, and T. G. Steele, Z. Phys. C 61, 157 (1994).
V. Elias and K. Sprague, Int. J. Theor. Phys. 37, 2767 (1998).
F. J. Yndurain, Z. Phys. C 42, 653 (1989); Erratum Z. Phys. C 44, 356 (1998). T. G. Steele, Z. Phys. C 42, 499 (1989).
H. D. Politzer, Nucl. Phys. B 117, 397 (1976). V. Elias and M. D. Scadron, Phys. Rev. D 30, 647 (1984).
E. Bagan and T. Steele, Phys. Lett. B 219, 497 (1989).
M. R. Ahmady, V. Elias, and R. R. Mendel, Phys. Rev. D 44, 263 (1991).
M. R. Ahmady, V. Elias, R. R. Mendel, M. D. Scadron, and T. G. Steele, Phys. Rev. D 39, 2764 (1989).
V. Elias, J. L. Murison, M. D. Scadron, and T. G. Steele, Z. Phys. C 60, 235 (1993).
S. Weinberg, Phys. Rev. Lett. 67, 3473 (1991
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Elias, V., Sprague, K.B. & Xue, Y. Vacuum Condensates and the Anomalous Magnetic Moment of a Dirac Fermion. Foundations of Physics 30, 439–461 (2000). https://doi.org/10.1023/A:1003673807187
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DOI: https://doi.org/10.1023/A:1003673807187