Broken Chiral and Conformal Symmetry and the Kuo Transformation

A. M. Harun-Ar Rashid; M. A. Rashid

doi:10.1103/PhysRevD.3.581

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Broken Chiral and Conformal Symmetry and the Kuo Transformation

A. M. Harun-Ar Rashid

M. A. Rashid^*,†

International Centre for Theoretical Physics, Trieste, Italy
Institute of Physics, University of Islamabad, Rawalpindi, Pakistan

International Centre for Theoretical Physics, Trieste, Italy

^*Present Address: Institute of Mathematics, University of Islamabad, Rawalpindi, Pakistan.
^†On leave of absence from the Pakistan Atomic Energy Commission.

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Phys. Rev. D 3, 581 – Published 15 January, 1971

DOI: https://doi.org/10.1103/PhysRevD.3.581

Abstract

The breaking of conformal and chiral symmetry within the framework of effective Lagrangians is studied, and it is shown that the (8,8) type of symmetry breaking leads to unacceptable values of the pion-pion scattering lengths. A combination of $(3, \bar{3}) + (\bar{3}, 3)$ and (8,8) is then proposed, the particular form being uniquely fixed by the requirement of Kuo transformation. This is then shown to lead to improved scattering lengths for meason-meson scattering processes.

References (10)

C. J. Isham, A. Salam, and J. Strathdee, Phys. Letters 31B, 300 (1970)
C. J. Isham, A. Salam, and J. Strathdee, Phys. Rev. D 2, 685 (1970)
M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev. 175, 2195 (1968)
S. Okubo, Phys. Rev. D 3, 409 (1971)
T. K. Kuo, Phys. Rev. D 2, 342 (1970)
S. Kamefuchi, S. L. O'Raifeartaigh, and A. Salam, Nucl. Phys. 28, 529 (1961)
K. Barnes and C. J. Isham, Nucl. Phys. B17, 267 (1970)
J. A. Cronin, Phys. Rev. 161, 1483 (1967)
C. J. Isham and A. A. Patani, Nuovo Cimento 60A, 255 (1969)
J. Ellis, University of Cambridge report, 1970 (unpublished)

[c1] C. J. Isham, A. Salam, and J. Strathdee, Phys. Letters 31B, 300 (1970)

[c2] C. J. Isham, A. Salam, and J. Strathdee, Phys. Rev. D 2, 685 (1970)

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

[c4] S. Okubo, Phys. Rev. D 3, 409 (1971)

[c5] T. K. Kuo, Phys. Rev. D 2, 342 (1970)

[c6] S. Kamefuchi, S. L. O'Raifeartaigh, and A. Salam, Nucl. Phys. 28, 529 (1961)

[c7] K. Barnes and C. J. Isham, Nucl. Phys. B17, 267 (1970)

[c8] J. A. Cronin, Phys. Rev. 161, 1483 (1967)

[c9] C. J. Isham and A. A. Patani, Nuovo Cimento 60A, 255 (1969)

[c10] J. Ellis, University of Cambridge report, 1970 (unpublished)

Physical Review D

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Broken Chiral and Conformal Symmetry and the Kuo Transformation

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References (10)

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