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6
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0001321037
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L. D. Landau and I. Pomeranchuk, Dokl. Akad. Nauk SSSR102, 489 (1955), have discussed inconsistencies in QED arising from infinite values of renormalization constants.
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(1955)
Dokl. Akad. Nauk SSSR
, vol.102
, pp. 489
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Landau, L.D.1
Pomeranchuk, I.2
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7
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24444445999
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G. Källen, K. Dan. Vidensk. Selsk. Mat. Fys. Medd.27, 3 (1953), has given a rigorous proof that at least one of the renormalization constants in QED must be infinite.
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(1953)
K. Dan. Vidensk. Selsk. Mat. Fys. Medd.
, vol.27
, pp. 3
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Källen, G.1
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13
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85038289464
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R. F. Streater and A. S. Wightman, PCT, Spin and Statistics, and All That (Benjamin, New York, 1964), p. 97
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R. F. Streater and A. S. Wightman, PCT, Spin and Statistics, and All That (Benjamin, New York, 1964), p. 97.
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15
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85038312402
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R. F. Streater and A. S. Wightman, PCT, Spin and Statistics, and All That 12
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R. F. Streater and A. S. Wightman, PCT, Spin and Statistics, and All That 12, p. 134.
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18
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85038294272
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Whether the integrals are finite or not depends on the behavior of (Formula presented) near zero. Fluctuations on a scale shorter than (Formula presented) would have energies larger than (Formula presented) and, therefore, Schwarzschild radii larger than (Formula presented) This suggests an inconsistency and perhaps indicates that such fluctuations do not occur. Correspondingly, the weighting function perhaps drops off sharply when λ decreases below (Formula presented) so (Formula presented) is integrable. The weighting function (8) for the Khriplovich propagator does not conform to this desideratum
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Whether the integrals are finite or not depends on the behavior of (Formula presented) near zero. Fluctuations on a scale shorter than (Formula presented) would have energies larger than (Formula presented) and, therefore, Schwarzschild radii larger than (Formula presented) This suggests an inconsistency and perhaps indicates that such fluctuations do not occur. Correspondingly, the weighting function perhaps drops off sharply when λ decreases below (Formula presented) so (Formula presented) is integrable. The weighting function (8) for the Khriplovich propagator does not conform to this desideratum.
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19
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85038345760
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Supersymmetry may be of some help here; it brings about the cancellation of boson and fermion terms of order (Formula presented) and of order (Formula presented) in the vacuum energy. But this still leaves fairly large terms of order (Formula presented)
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Supersymmetry may be of some help here; it brings about the cancellation of boson and fermion terms of order (Formula presented) and of order (Formula presented) in the vacuum energy. But this still leaves fairly large terms of order (Formula presented)
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