Consistency Conditions for Chiral Symmetry and Scale Invariance. II. Scale Noninvariance of the Chiral-Symmetry Limit

R. Jackiw

doi:10.1103/PhysRevD.3.1356

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Consistency Conditions for Chiral Symmetry and Scale Invariance. II. Scale Noninvariance of the Chiral-Symmetry Limit

R. Jackiw^*

Laboratory for Nuclear Science and Physics Department, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

^*Alfred P. Sloan Fellow.

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Phys. Rev. D 3, 1356 – Published 15 March, 1971

DOI: https://doi.org/10.1103/PhysRevD.3.1356

Abstract

If it is required that matrix elements of the $SU (3) \times SU (3)$ symmetry-violating operator in the Hamiltonian be gently varying, and that the limits of chiral symmetry and/or scale invariance be smoothly attainable, then scale invariance must be broken in the chiral-symmetry limit.

References (14)

G. Mack, Nucl. Phys. B5, 499 (1968) G. Mack and A. Salam, Ann. Phys. (N. Y.) 53, 174 (1969) K. Wilson, Phys. Rev. 179, 1499 (1969) M. Gell-Mann, Cal. Tech. Report No. CALT-68-244 (unpublished) P. Carruthers, Phys. Rev. D 2, 2265 (1970)
F. von Hippel and J. K. Kim, Phys. Rev. Letters 22, 740 (1969) Phys. Rev. D 1, 151 (1970)
R. Jackiw, Phys. Rev. D 3, 1347 (1971)
C. G. Callan, Jr., S. Coleman, and R. Jackiw, Ann. Phys. (N. Y.) 59, 42 (1970)
Omitted endnote
([3])
S. L. Glashow and S. Weinberg, Phys. Rev. Letters 20, 244 (1968) M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev. 175, 2195 (1968)
Omitted endnote
Omitted endnote
([1])
([1])
M. Gell-Mann and M. Lévy, Nuovo Cimento 16, 705 (1960)
([1])
Omitted endnote

[c1] G. Mack, Nucl. Phys. B5, 499 (1968) G. Mack and A. Salam, Ann. Phys. (N. Y.) 53, 174 (1969) K. Wilson, Phys. Rev. 179, 1499 (1969) M. Gell-Mann, Cal. Tech. Report No. CALT-68-244 (unpublished) P. Carruthers, Phys. Rev. D 2, 2265 (1970)

[c2] F. von Hippel and J. K. Kim, Phys. Rev. Letters 22, 740 (1969) Phys. Rev. D 1, 151 (1970)

[c3] R. Jackiw, Phys. Rev. D 3, 1347 (1971)

[c4] C. G. Callan, Jr., S. Coleman, and R. Jackiw, Ann. Phys. (N. Y.) 59, 42 (1970)

[c5] Omitted endnote

[c6] ([3])

[c7] S. L. Glashow and S. Weinberg, Phys. Rev. Letters 20, 244 (1968) M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev. 175, 2195 (1968)

[c8] Omitted endnote

[c9] Omitted endnote

[c10] ([1])

[c11] ([1])

[c12] M. Gell-Mann and M. Lévy, Nuovo Cimento 16, 705 (1960)

[c13] ([1])

[c14] Omitted endnote

Physical Review D

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Consistency Conditions for Chiral Symmetry and Scale Invariance. II. Scale Noninvariance of the Chiral-Symmetry Limit

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See Also

Consistency Conditions for Chiral Symmetry and Scale Invariance. I. Dimensions of Operators

References (14)

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