Quantum Theory of Gravitation and the Mass of the Electron

Gerald Rosen

doi:10.1103/PhysRevD.4.275

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Quantum Theory of Gravitation and the Mass of the Electron

Gerald Rosen

Drexel University, Philadelphia, Pennsylvania 19104

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Phys. Rev. D 4, 275 – Published 15 July, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.275

Abstract

Gravity-modified quantum electrodynamics formulated by Salam and collaborators is applied to the electron self-energy problem in all orders of perturbation theory. It is shown that the dressed physical mass of the electron is likely to be given by the formula $m = M e^{- \frac{x}{α}}$ , where $M \equiv {(\frac{ℏ c}{16 π G})}^{\frac{1}{2}}$ is the universal quantum-gravitational mass constant, $α = {(137.04)}^{- 1}$ is the fine-structure constant, and $x = (0.362)$ is a number to be computed from the details of the theory.

References (7)

H. Alvensleben et al., Phys. Rev. Letters 21, 1501 (1968) J. Aldins et al., ibid. 23, 441 (1969) T. Appelquist and S. J. Brodsky, ibid. 24, 562 (1970)
G. C. Wick and B. Zumino, Phys. Letters 25B, 479 (1967) I. S. Gerstein et al., Phys. Rev. Letters 19, 1064 (1967) P. Olesen, ibid. 20, 525 (1968)
V. Weisskopf, Phys. Rev. 56, 72 (1939) W. Pauli, Helv. Phys. Acta Suppl. 4, 69 (1956) S. Deser, in Texas Symposium on Particle Theory, 1970 (unpublished)
P. A. M. Dirac, Proc. Roy. Soc. (London) A246, 333 (1958) Phys. Rev. 114, 924 (1959) Recent Developments in General Relativity (Pergamon, New York, 1962), p. 191
C. J. Isham, Abdus Salam, and J. Strathdee, Phys. Rev. D 3, 1805 (1971) R. Delbourgo, Abdus Salam, and J. Strathdee, Lett. Nuovo Cimento 2, 354 (1969)
Omitted endnote
H. Terazawa, Phys. Rev. Letters 22, 254 (1969) J. Pestieau and P. Roy, ibid. 23, 349 (1969) T. D. Lee and G. C. Wick, Phys. Rev. D 2, 1033 (1970)

[c1] H. Alvensleben et al., Phys. Rev. Letters 21, 1501 (1968) J. Aldins et al., ibid. 23, 441 (1969) T. Appelquist and S. J. Brodsky, ibid. 24, 562 (1970)

[c2] G. C. Wick and B. Zumino, Phys. Letters 25B, 479 (1967) I. S. Gerstein et al., Phys. Rev. Letters 19, 1064 (1967) P. Olesen, ibid. 20, 525 (1968)

[c3] V. Weisskopf, Phys. Rev. 56, 72 (1939) W. Pauli, Helv. Phys. Acta Suppl. 4, 69 (1956) S. Deser, in Texas Symposium on Particle Theory, 1970 (unpublished)

[c4] P. A. M. Dirac, Proc. Roy. Soc. (London) A246, 333 (1958) Phys. Rev. 114, 924 (1959) Recent Developments in General Relativity (Pergamon, New York, 1962), p. 191

[c5] C. J. Isham, Abdus Salam, and J. Strathdee, Phys. Rev. D 3, 1805 (1971) R. Delbourgo, Abdus Salam, and J. Strathdee, Lett. Nuovo Cimento 2, 354 (1969)

[c6] Omitted endnote

[c7] H. Terazawa, Phys. Rev. Letters 22, 254 (1969) J. Pestieau and P. Roy, ibid. 23, 349 (1969) T. D. Lee and G. C. Wick, Phys. Rev. D 2, 1033 (1970)

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Quantum Theory of Gravitation and the Mass of the Electron

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