Nonperturbative renormalization and the electron's anomalous moment in large-α QED

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 59, Issue 1, 1999, Pages 1-18

  Hiller, John R ^a   Brodsky, Stanley J ^b  

^a UNIVERSITY OF MINNESOTA DULUTH   (United States)

^b SLAC NATIONAL ACCELERATOR LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17144402949     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.59.016006     Document Type: Article

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10. For reviews and discussion, see G. P. Lepage and S. J. Brodsky, Phys. Rev. D 22, 2157 (1980); S. J. Brodsky, T. Huang, and G. P. Lepage, in Springer Tracts in Modern Physics (Springer-Verlag, Berlin, 1982) Vol. 100; G. P. Lepage, S. J. Brodsky, T. Huang, and P. B. MacKenzie, in proceedings of the 1981 Banff Summer Institute on Particle Physics, Alberta, Canada; J. M. Namyslowski, Prog. Part. Nucl. Phys. 14, 49 (1985); S. J. Brodsky and H.-C. Pauli, in Recent Aspects of Quantum Fields, edited by H. Mitter and H. Gausterer, Vol. 396 of Lecture Notes in Physics (Springer-Verlag, Berlin, 1991); S. J. Brodsky, G. McCartor, H.-C. Pauli, and S. S. Pinsky, Part. World 3, 109 (1993); K. G. Wilson, T. S. Walhout, A. Harindranath, W.-M. Zhang, R. J. Perry, and St. D. Głazek, Phys. Rev. D 49, 6720 (1994); T. Heinzl and E. Werner, Z. Phys. C 62, 521 (1994); S. J. Brodsky and D. G. Robertson, in the Proceedings of the 1995 ELFE Summer School and Workshop, "Confinement Physics," edited by S. Bass and P. A. M. Guichon (Edition Frontières, Gif-sur-Yvette, 1996), p. 71; M. Burkardt, Adv. Nucl. Phys. 23, 1 (1996); S. J. Brodsky, H.-C. Pauli, and S. S. Pinsky, Phys. Rep. 301, 299 (1998).
11. For reviews and discussion, see G. P. Lepage and S. J. Brodsky, Phys. Rev. D 22, 2157 (1980); S. J. Brodsky, T. Huang, and G. P. Lepage, in Springer Tracts in Modern Physics (Springer-Verlag, Berlin, 1982) Vol. 100; G. P. Lepage, S. J. Brodsky, T. Huang, and P. B. MacKenzie, in proceedings of the 1981 Banff Summer Institute on Particle Physics, Alberta, Canada; J. M. Namyslowski, Prog. Part. Nucl. Phys. 14, 49 (1985); S. J. Brodsky and H.-C. Pauli, in Recent Aspects of Quantum Fields, edited by H. Mitter and H. Gausterer, Vol. 396 of Lecture Notes in Physics (Springer-Verlag, Berlin, 1991); S. J. Brodsky, G. McCartor, H.-C. Pauli, and S. S. Pinsky, Part. World 3, 109 (1993); K. G. Wilson, T. S. Walhout, A. Harindranath, W.-M. Zhang, R. J. Perry, and St. D. Głazek, Phys. Rev. D 49, 6720 (1994); T. Heinzl and E. Werner, Z. Phys. C 62, 521 (1994); S. J. Brodsky and D. G. Robertson, in the Proceedings of the 1995 ELFE Summer School and Workshop, "Confinement Physics," edited by S. Bass and P. A. M. Guichon (Edition Frontières, Gif-sur-Yvette, 1996), p. 71; M. Burkardt, Adv. Nucl. Phys. 23, 1 (1996); S. J. Brodsky, H.-C. Pauli, and S. S. Pinsky, Phys. Rep. 301, 299 (1998).
12. For reviews and discussion, see G. P. Lepage and S. J. Brodsky, Phys. Rev. D 22, 2157 (1980); S. J. Brodsky, T. Huang, and G. P. Lepage, in Springer Tracts in Modern Physics (Springer-Verlag, Berlin, 1982) Vol. 100; G. P. Lepage, S. J. Brodsky, T. Huang, and P. B. MacKenzie, in proceedings of the 1981 Banff Summer Institute on Particle Physics, Alberta, Canada; J. M. Namyslowski, Prog. Part. Nucl. Phys. 14, 49 (1985); S. J. Brodsky and H.-C. Pauli, in Recent Aspects of Quantum Fields, edited by H. Mitter and H. Gausterer, Vol. 396 of Lecture Notes in Physics (Springer-Verlag, Berlin, 1991); S. J. Brodsky, G. McCartor, H.-C. Pauli, and S. S. Pinsky, Part. World 3, 109 (1993); K. G. Wilson, T. S. Walhout, A. Harindranath, W.-M. Zhang, R. J. Perry, and St. D. Głazek, Phys. Rev. D 49, 6720 (1994); T. Heinzl and E. Werner, Z. Phys. C 62, 521 (1994); S. J. Brodsky and D. G. Robertson, in the Proceedings of the 1995 ELFE Summer School and Workshop, "Confinement Physics," edited by S. Bass and P. A. M. Guichon (Edition Frontières, Gif-sur-Yvette, 1996), p. 71; M. Burkardt, Adv. Nucl. Phys. 23, 1 (1996); S. J. Brodsky, H.-C. Pauli, and S. S. Pinsky, Phys. Rep. 301, 299 (1998).
13. For reviews and discussion, see G. P. Lepage and S. J. Brodsky, Phys. Rev. D 22, 2157 (1980); S. J. Brodsky, T. Huang, and G. P. Lepage, in Springer Tracts in Modern Physics (Springer-Verlag, Berlin, 1982) Vol. 100; G. P. Lepage, S. J. Brodsky, T. Huang, and P. B. MacKenzie, in proceedings of the 1981 Banff Summer Institute on Particle Physics, Alberta, Canada; J. M. Namyslowski, Prog. Part. Nucl. Phys. 14, 49 (1985); S. J. Brodsky and H.-C. Pauli, in Recent Aspects of Quantum Fields, edited by H. Mitter and H. Gausterer, Vol. 396 of Lecture Notes in Physics (Springer-Verlag, Berlin, 1991); S. J. Brodsky, G. McCartor, H.-C. Pauli, and S. S. Pinsky, Part. World 3, 109 (1993); K. G. Wilson, T. S. Walhout, A. Harindranath, W.-M. Zhang, R. J. Perry, and St. D. Głazek, Phys. Rev. D 49, 6720 (1994); T. Heinzl and E. Werner, Z. Phys. C 62, 521 (1994); S. J. Brodsky and D. G. Robertson, in the Proceedings of the 1995 ELFE Summer School and Workshop, "Confinement Physics," edited by S. Bass and P. A. M. Guichon (Edition Frontières, Gif-sur-Yvette, 1996), p. 71; M. Burkardt, Adv. Nucl. Phys. 23, 1 (1996); S. J. Brodsky, H.-C. Pauli, and S. S. Pinsky, Phys. Rep. 301, 299 (1998).
14. For reviews and discussion, see G. P. Lepage and S. J. Brodsky, Phys. Rev. D 22, 2157 (1980); S. J. Brodsky, T. Huang, and G. P. Lepage, in Springer Tracts in Modern Physics (Springer-Verlag, Berlin, 1982) Vol. 100; G. P. Lepage, S. J. Brodsky, T. Huang, and P. B. MacKenzie, in proceedings of the 1981 Banff Summer Institute on Particle Physics, Alberta, Canada; J. M. Namyslowski, Prog. Part. Nucl. Phys. 14, 49 (1985); S. J. Brodsky and H.-C. Pauli, in Recent Aspects of Quantum Fields, edited by H. Mitter and H. Gausterer, Vol. 396 of Lecture Notes in Physics (Springer-Verlag, Berlin, 1991); S. J. Brodsky, G. McCartor, H.-C. Pauli, and S. S. Pinsky, Part. World 3, 109 (1993); K. G. Wilson, T. S. Walhout, A. Harindranath, W.-M. Zhang, R. J. Perry, and St. D. Głazek, Phys. Rev. D 49, 6720 (1994); T. Heinzl and E. Werner, Z. Phys. C 62, 521 (1994); S. J. Brodsky and D. G. Robertson, in the Proceedings of the 1995 ELFE Summer School and Workshop, "Confinement Physics," edited by S. Bass and P. A. M. Guichon (Edition Frontières, Gif-sur-Yvette, 1996), p. 71; M. Burkardt, Adv. Nucl. Phys. 23, 1 (1996); S. J. Brodsky, H.-C. Pauli, and S. S. Pinsky, Phys. Rep. 301, 299 (1998).
15. For reviews and discussion, see G. P. Lepage and S. J. Brodsky, Phys. Rev. D 22, 2157 (1980); S. J. Brodsky, T. Huang, and G. P. Lepage, in Springer Tracts in Modern Physics (Springer-Verlag, Berlin, 1982) Vol. 100; G. P. Lepage, S. J. Brodsky, T. Huang, and P. B. MacKenzie, in proceedings of the 1981 Banff Summer Institute on Particle Physics, Alberta, Canada; J. M. Namyslowski, Prog. Part. Nucl. Phys. 14, 49 (1985); S. J. Brodsky and H.-C. Pauli, in Recent Aspects of Quantum Fields, edited by H. Mitter and H. Gausterer, Vol. 396 of Lecture Notes in Physics (Springer-Verlag, Berlin, 1991); S. J. Brodsky, G. McCartor, H.-C. Pauli, and S. S. Pinsky, Part. World 3, 109 (1993); K. G. Wilson, T. S. Walhout, A. Harindranath, W.-M. Zhang, R. J. Perry, and St. D. Głazek, Phys. Rev. D 49, 6720 (1994); T. Heinzl and E. Werner, Z. Phys. C 62, 521 (1994); S. J. Brodsky and D. G. Robertson, in the Proceedings of the 1995 ELFE Summer School and Workshop, "Confinement Physics," edited by S. Bass and P. A. M. Guichon (Edition Frontières, Gif-sur-Yvette, 1996), p. 71; M. Burkardt, Adv. Nucl. Phys. 23, 1 (1996); S. J. Brodsky, H.-C. Pauli, and S. S. Pinsky, Phys. Rep. 301, 299 (1998).
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182. A. C. Kalloniatis and H.-C. Pauli, Z. Phys. C 60, 255 (1993); 63, 161 (1994); for an extension of this work to QCD, see A. C. Kalloniatis, H.-C. Pauli, and S. Pinsky, Phys. Rev. D 50, 6633 (1994); H.-C. Pauli, A. C. Kalloniatis, and S. S. Pinsky, ibid. 52, 1176 (1995); M. Tachibana, ibid. 52, 6008 (1995); S. S. Pinsky and A. C. Kalloniatis, Phys. Lett. B 365, 225 (1996); A. C. Kalloniatis, Phys. Rev. D 54, 2876 (1996); S. S. Pinsky and D. G. Robertson, Phys. Lett. B 379, 169 (1996); R. Mohr and S. S. Pinsky, ibid. 401, 301 (1997); S. S. Pinsky, Phys. Rev. D 56, 5040 (1997); see also K. Demeterfi, I. R. Klebanov, and G. Bhanot, Nucl. Phys. B418, 15 (1994); F. Lenz, M. Shifman, and M. Thies, Phys. Rev. D 51, 7060 (1995); A. C. Kalloniatis and D. G. Robertson, Phys. Lett. B 381, 209 (1996); Ľ. Martinovič, ibid. 400, 335 (1997); for related work on zero modes and gauge fixing in QED, see F. Lenz, H. W. L. Naus, K. Ohta, and M. Thies, Ann. Phys. (N.Y.) 233, 17 (1994); 233, 51 (1994).
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184. A. C. Kalloniatis and H.-C. Pauli, Z. Phys. C 60, 255 (1993); 63, 161 (1994); for an extension of this work to QCD, see A. C. Kalloniatis, H.-C. Pauli, and S. Pinsky, Phys. Rev. D 50, 6633 (1994); H.-C. Pauli, A. C. Kalloniatis, and S. S. Pinsky, ibid. 52, 1176 (1995); M. Tachibana, ibid. 52, 6008 (1995); S. S. Pinsky and A. C. Kalloniatis, Phys. Lett. B 365, 225 (1996); A. C. Kalloniatis, Phys. Rev. D 54, 2876 (1996); S. S. Pinsky and D. G. Robertson, Phys. Lett. B 379, 169 (1996); R. Mohr and S. S. Pinsky, ibid. 401, 301 (1997); S. S. Pinsky, Phys. Rev. D 56, 5040 (1997); see also K. Demeterfi, I. R. Klebanov, and G. Bhanot, Nucl. Phys. B418, 15 (1994); F. Lenz, M. Shifman, and M. Thies, Phys. Rev. D 51, 7060 (1995); A. C. Kalloniatis and D. G. Robertson, Phys. Lett. B 381, 209 (1996); Ľ. Martinovič, ibid. 400, 335 (1997); for related work on zero modes and gauge fixing in QED, see F. Lenz, H. W. L. Naus, K. Ohta, and M. Thies, Ann. Phys. (N.Y.) 233, 17 (1994); 233, 51 (1994).
185. A. C. Kalloniatis and H.-C. Pauli, Z. Phys. C 60, 255 (1993); 63, 161 (1994); for an extension of this work to QCD, see A. C. Kalloniatis, H.-C. Pauli, and S. Pinsky, Phys. Rev. D 50, 6633 (1994); H.-C. Pauli, A. C. Kalloniatis, and S. S. Pinsky, ibid. 52, 1176 (1995); M. Tachibana, ibid. 52, 6008 (1995); S. S. Pinsky and A. C. Kalloniatis, Phys. Lett. B 365, 225 (1996); A. C. Kalloniatis, Phys. Rev. D 54, 2876 (1996); S. S. Pinsky and D. G. Robertson, Phys. Lett. B 379, 169 (1996); R. Mohr and S. S. Pinsky, ibid. 401, 301 (1997); S. S. Pinsky, Phys. Rev. D 56, 5040 (1997); see also K. Demeterfi, I. R. Klebanov, and G. Bhanot, Nucl. Phys. B418, 15 (1994); F. Lenz, M. Shifman, and M. Thies, Phys. Rev. D 51, 7060 (1995); A. C. Kalloniatis and D. G. Robertson, Phys. Lett. B 381, 209 (1996); Ľ. Martinovič, ibid. 400, 335 (1997); for related work on zero modes and gauge fixing in QED, see F. Lenz, H. W. L. Naus, K. Ohta, and M. Thies, Ann. Phys. (N.Y.) 233, 17 (1994); 233, 51 (1994).
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200. T. Maskawa and K. Yamawaki, Prog. Theor. Phys. 56, 270 (1976); St. D. Głazek, Phys. Rev. D 38, 3277 (1988); C. Dietmaier, Th. Heinzl, M. Schaden, and E. Werner, Z. Phys. A 334, 215 (1989); Th. Heinzl, St. Krusche, and E. Werner, ibid. 334, 443 (1989); C. J. Benesh and J. P. Vary, Z. Phys. C 49, 411 (1991); D. G. Robertson and G. McCartor, ibid. 53, 661 (1992); G. McCartor and D. G. Robertson, ibid. 53, 679 (1992); K. Hornbostel [24]; Th. Heinzl, St. Krusche, E. Werner, and B. Zellermann, Universität Regensburg Report No. TPR 92-17, 1992; R. W. Brown, J. W. Jun, S. M. Shvartsman, and C. C. Taylor, Phys. Rev. D 48, 5873 (1993); Th. Heinzl and E. Werner, Z. Phys. C 62, 521 (1994); E. V. Prokhvatilov, H. W. L. Naus, and H.-J. Pirner, Phys. Rev. D 51, 2933 (1995); M. E. Convery, C. C. Taylor, and J. W. Jun, ibid. 51, 4445 (1995); K. Harada, A. Okazaki, and M. Taniguchi, ibid. 55, 4910 (1997).
201. T. Maskawa and K. Yamawaki, Prog. Theor. Phys. 56, 270 (1976); St. D. Głazek, Phys. Rev. D 38, 3277 (1988); C. Dietmaier, Th. Heinzl, M. Schaden, and E. Werner, Z. Phys. A 334, 215 (1989); Th. Heinzl, St. Krusche, and E. Werner, ibid. 334, 443 (1989); C. J. Benesh and J. P. Vary, Z. Phys. C 49, 411 (1991); D. G. Robertson and G. McCartor, ibid. 53, 661 (1992); G. McCartor and D. G. Robertson, ibid. 53, 679 (1992); K. Hornbostel [24]; Th. Heinzl, St. Krusche, E. Werner, and B. Zellermann, Universität Regensburg Report No. TPR 92-17, 1992; R. W. Brown, J. W. Jun, S. M. Shvartsman, and C. C. Taylor, Phys. Rev. D 48, 5873 (1993); Th. Heinzl and E. Werner, Z. Phys. C 62, 521 (1994); E. V. Prokhvatilov, H. W. L. Naus, and H.-J. Pirner, Phys. Rev. D 51, 2933 (1995); M. E. Convery, C. C. Taylor, and J. W. Jun, ibid. 51, 4445 (1995); K. Harada, A. Okazaki, and M. Taniguchi, ibid. 55, 4910 (1997).
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