Scalar Fields of Low Dimension: Evidence from Electromagnetic Mass Differences

Stanley G. Brown

doi:10.1103/PhysRevD.4.600

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Scalar Fields of Low Dimension: Evidence from Electromagnetic Mass Differences

Stanley G. Brown

Department of Physics, University of California, Los Angeles, California 90024

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Phys. Rev. D 4, 600 – Published 15 July, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.600

Abstract

The size of the mass splittings within isomultiplets suggests that (1) the usual strong-interaction Hamiltonian needs to be modified, or (2) there are scalar fields of dimension ≤ 4 belonging to $SU (3) \times SU (3)$ representations other than (1, 1) and $(\bar{3}, 3) + (3, \bar{3})$ , or (3) there is a large electromagnetic renormalization of the strong interactions.

References (18)

K. G. Wilson, Phys. Rev. 179, 1499 (1969)
M. Gell-Mann, in Particle Physics, edited by W. A. Simmons and S. F. Tuan (Western Periodicals, Los Angeles, 1970)
M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev. 175, 2195 (1968)
S. Glashow and S. Weinberg, Phys. Rev. Letters 20, 224 (1968)
K. G. Wilson, Stanford Linear Accelerator Center Report No. SLAC-PUB-737, 1970 (unpublished)
([1])
S. G. Brown (unpublished)
J. M. Cornwall, Phys. Rev. D 2, 578 (1970)
[1] ([7]) R. Jackiw, R. Van Royen, and G. B. West, Phys. Rev. D 2, 2473 (1970)
R. Gatto, G. Sartori, and M. Tonin, Phys. Letters 28B, 128 (1968) N. Cabibbo and L. Maiani, ibid. 28B, 131 (1968)
S. Coleman and S. Glashow, Phys. Rev. 134, B671 (1964) R. Socolow, ibid. 148, B1221 (1965)
J. C. Bane and K. T. Mahanthappa, Phys. Rev. Letters 25, 779 (1970)
Omitted endnote
[2]
[10]
[1]
N. Cabibbo and L. Maiani, Phys. Rev. D 1, 707 (1970)
R. Dashen, Phys. Rev. 183, 1245 (1969)

[c1] K. G. Wilson, Phys. Rev. 179, 1499 (1969)

[c2] M. Gell-Mann, in Particle Physics, edited by W. A. Simmons and S. F. Tuan (Western Periodicals, Los Angeles, 1970)

[c3] M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev. 175, 2195 (1968)

[c4] S. Glashow and S. Weinberg, Phys. Rev. Letters 20, 224 (1968)

[c5] K. G. Wilson, Stanford Linear Accelerator Center Report No. SLAC-PUB-737, 1970 (unpublished)

[c6] ([1])

[c7] S. G. Brown (unpublished)

[c8] J. M. Cornwall, Phys. Rev. D 2, 578 (1970)

[c9] [1] ([7]) R. Jackiw, R. Van Royen, and G. B. West, Phys. Rev. D 2, 2473 (1970)

[c10] R. Gatto, G. Sartori, and M. Tonin, Phys. Letters 28B, 128 (1968) N. Cabibbo and L. Maiani, ibid. 28B, 131 (1968)

[c11] S. Coleman and S. Glashow, Phys. Rev. 134, B671 (1964) R. Socolow, ibid. 148, B1221 (1965)

[c12] J. C. Bane and K. T. Mahanthappa, Phys. Rev. Letters 25, 779 (1970)

[c13] Omitted endnote

[c14] [2]

[c15] [10]

[c16] [1]

[c17] N. Cabibbo and L. Maiani, Phys. Rev. D 1, 707 (1970)

[c18] R. Dashen, Phys. Rev. 183, 1245 (1969)

Physical Review D

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Scalar Fields of Low Dimension: Evidence from Electromagnetic Mass Differences

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References (18)

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