Renormalization of the S<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">U</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></math> × S<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">U</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></math> <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>σ</mi></math> Model

Lai-Him Chan; Richard W. Haymaker

doi:10.1103/PhysRevD.7.415

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Renormalization of the S $U_{3}$ × S $U_{3}$ $σ$ Model

Lai-Him Chan and Richard W. Haymaker

Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803

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Phys. Rev. D 7, 415 – Published 15 January, 1973

DOI: https://doi.org/10.1103/PhysRevD.7.415

Abstract

We have carried out the renormalization procedure for the S $U_{3}$ $σ$ model through second order in the presence of symmetry-breaking terms. We show explicitly that no new divergent counterterms are needed other than those required in the symmetric theory. The theory can be completely determined in terms of known masses and the decay constant $f_{π}$ .

References (15)

M. Gell-Mann, Physics 1, 63 (1964)
S. Adler and R. Dashen, Current Algebras (Benjamin, New York, 1968)
M. Lévy, Nuovo Cimento 52, 23 (1967)
S. Gasiorowicz and D. Geffen, Rev. Mod. Phys. 41, 531 (1969)
L.-H. Chan and R. W. Haymaker, preceding paper, Phys. Rev. D 7, 402 (1973)
J. L. Basdevant and B. W. Lee, Phys. Rev. D 2, 1680 (1970)
J. Zinn-Justin, Phys. Reports 1C, 55 (1971) L. Copley and D. Masson, Phys. Rev. 164, 2059 (1967) D. Bessis and M. Pusterla, Phys. Letters 25B, 279 (1967) Nuovo Cimento 54A, 243 (1968) J. Basdevant, D. Bessis, and J. Zinn-Justin, Phys. Letters 27B, 230 (1968) Nuovo Cimento 60A, 185 (1969)
H. W. Crater, Phys. Rev. D 1, 3313 (1970)
S. Coleman, J. Wess, and B. Zumino, Phys. Rev. 177, 2239 (1969)
P. Carruthers and R. W. Haymaker, Phys. Rev. D 4, 1808 (1971)
R. Olshansky, Phys. Rev. D 4, 2440 (1971)
Omitted endnote
Omitted endnote
B. W. Lee, Nucl. Phys. B9, 649 (1969)
K. Symanzik, Commun. Math. Phys. 16, 48 (1970)

[c1] M. Gell-Mann, Physics 1, 63 (1964)

[c2] S. Adler and R. Dashen, Current Algebras (Benjamin, New York, 1968)

[c3] M. Lévy, Nuovo Cimento 52, 23 (1967)

[c4] S. Gasiorowicz and D. Geffen, Rev. Mod. Phys. 41, 531 (1969)

[c5] L.-H. Chan and R. W. Haymaker, preceding paper, Phys. Rev. D 7, 402 (1973)

[c6] J. L. Basdevant and B. W. Lee, Phys. Rev. D 2, 1680 (1970)

[c7] J. Zinn-Justin, Phys. Reports 1C, 55 (1971) L. Copley and D. Masson, Phys. Rev. 164, 2059 (1967) D. Bessis and M. Pusterla, Phys. Letters 25B, 279 (1967) Nuovo Cimento 54A, 243 (1968) J. Basdevant, D. Bessis, and J. Zinn-Justin, Phys. Letters 27B, 230 (1968) Nuovo Cimento 60A, 185 (1969)

[c8] H. W. Crater, Phys. Rev. D 1, 3313 (1970)

[c9] S. Coleman, J. Wess, and B. Zumino, Phys. Rev. 177, 2239 (1969)

[c10] P. Carruthers and R. W. Haymaker, Phys. Rev. D 4, 1808 (1971)

[c11] R. Olshansky, Phys. Rev. D 4, 2440 (1971)

[c12] Omitted endnote

[c13] Omitted endnote

[c14] B. W. Lee, Nucl. Phys. B9, 649 (1969)

[c15] K. Symanzik, Commun. Math. Phys. 16, 48 (1970)

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Renormalization of the S $U_{3}$ × S $U_{3}$ $σ$ Model

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Renormalization of the SU3 × SU3 σ Model

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References (15)

Renormalization of the S $U_{3}$ × S $U_{3}$ $σ$ Model