Abstract
Recent progress in the Penning trap measurement of the magnetic moment anomaly a of the electron and positron has enabled Dehmelt and coworkers to determine a to a precision of 4 × 10−9, providing the strongest challenge to date to the validity of QED. Calculation of a up to the order α4, where α is the fine structure constant, has now reached the point where the intrinsic theoretical uncertainty is comparable to that of the measurements. Unfortunately rigorous test of QED itself must be postponed until a better value of α becomes available. Pending improved measurement of α, however, one can determine α from theory and the experimental value of a to a precision better than 1 × 10−8, which is much more accurate than the α’s determined from the ac Josephson effect, the quantized Hall effect, or the hyperfine structure of the muonium ground state.
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References
T. Kinoshita, Nuovo Cimento 51B, 140 (1967)
T. Kinoshita, J. Math Phys. 3, 650 (1962)
P. Cvitanovic and T. Kinoshita, Phys. Rev. D 10, 4007 (1974)
P. B. Schwinberg, R. S. Dyck, and H. G. Dehmelt, Phys. Rev. Lett. 47, 1679 (1981)
T. Kinoshita and W. B. Lindquist, “Improving the theoretical prediction of the electron anomalous magnetic moment,” Cornell preprint CLNS-374, 1977
J. Schwinger, Phys. Rev. 73, 416 (1948);
C. Sommerfield, Phys.Rev. 107, 328 (1957);
A. Petermann, Helv. Phys. Acta 30, 407 (1957)
M. J. Levine, H. Y. Park, and R. Z. Roskies, Phys. Rev. 25, 2205 (1982)
M. Caffo, S. Turrini, and E. Remiddi, Phys. Rev. D 30, 483 (1984);
E. Remiddi and S. P. Sorella, Lett. Nuovo Cimento 44, 231 (1985)
H. Strubbe, Comp. Phys. Comm. 8, 1 (1974)
G. P. Lepage, J. Comp. Phys. 27, 192 (1978)
B. E. Lautrup, “An adaptive multidimensional integration technique,” in Proceedings of the Second Colloquium in Advanced Computing Methods in Theoretical Physics, Marseille, 1971, A. Visconti, ed. ( Univ. of Marseille, Marseille, 1971 )
T. Kinoshita and W. B. Lindquist, Phys. Rev. Lett. 47, 1573 (1981)
E. R. Cohen and B. N. Taylor, Rev. Mod. Phys. 59, 1121 (1987)
See, for instance, T. Kinoshita in “New Frontiers in High Energy Physics”, B. Kursunoglu et al.,eds. (Plenum, 1978), pp.127–143
R. S. Van Dyck, Jr., P. B. Schwinberg, and H. G. Dehmelt, Phys. Rev. Lett. 59, 26 (1987)
L. S. Brown and G. Gabrielse, Rev. Mod. Phys. 58, 233 (1986)
T. Kinoshita and W. B. Lindquist, Phys. Rev. D 27, 886 (1983)
M. E. Cage et al, presented at the 1988 Conference on Precision Electromagnetic Measurements, Tsukuba, Japan, June 7–10, 1988
E. R. Williams et al, presented at the 1988 Conference on Precision Electromagnetic Measurements, Tsukuba, Japan, June 7–10, 1988
F. G. Mariam et al., Phys. Rev. Lett. 49, 993 (1982)
M. I. Eides, S. G. Karshenboim, and V. A. Shelyuto, Phys. Lett. B 177, 425 (1986);
M. I. Eides, S. G. Karshenboim, and V. A. Shelyuto, Phys. Lett. 202, 572 (1988)
V. W. Hughes and G. Z. Putlitz, Comm. Nucl. Part. Phys. 12, 259 (1984)
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© 1989 Springer-Verlag Berlin Heidelberg
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Kinoshita, T. (1989). Electron g — 2 and High Precision Determination of α . In: Bassani, G.F., Inguscio, M., Hänsch, T.W. (eds) The Hydrogen Atom. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-88421-4_24
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DOI: https://doi.org/10.1007/978-3-642-88421-4_24
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