Study of Chiral <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>SU</mi><mo>(</mo><mn>2</mn><mo>)</mo><mn></mn><mo>×</mo><mi>SU</mi><mo>(</mo><mn>2</mn><mo>)</mo><mn></mn></math></span> Current-Algebra Models

Michael T. Vaughn

doi:10.1103/PhysRevD.3.2241

Access by Xinjiang University

Study of Chiral $SU (2) \times SU (2)$ Current-Algebra Models

Michael T. Vaughn^*

Northeastern University, Boston, Massachusetts 02115
Institute for Theoretical Physics, University of Vienna, Vienna, Austria

^*Permanent address. On sabbatical leave 1970-71.

PDF

Phys. Rev. D 3, 2241 – Published 1 May, 1971

DOI: https://doi.org/10.1103/PhysRevD.3.2241

Abstract

The smoothness assumptions of the chiral $SU (2) \times SU (2)$ hard-pion current-algebra method are examined in detail. A new model, the current-smoothness model, emerges as a plausible alternative to the standard hard-pion model of Schnitzer and Weinberg, and others. The two models give satisfactory predictions for the decay $A_{1} \to ρ + π$ , but quite different predictions for the decay $A_{1} \to π + γ$ and the colliding-beam reaction $e^{+} e^{-} \to {A_{1}}^{\pm} π^{\mp}$ . Other possible models are also discussed.

References (23)

H. J. Schnitzer and S. Weinberg, Phys. Rev. 164, 1828 (1967)
R. Arnowitt, M. H. Friedman, and P. Nath, Phys. Rev. Letters 19, 1085 (1967) Phys. Rev. 174, 1999 (1968) ibid.174, 2008 (1968) R. Arnowitt, M. H. Friedman, P. Nath, and R. Suitor, ibid. 175, 1802 (1968)
M. Gell-Mann, Physics 1, 63 (1964)
I. Gerstein and H. J. Schnitzer, Phys. Rev. 170, 1638 (1968)
R. Arnowitt, M. H. Friedman, P. Nath, and R. Suitor, Phys. Rev. Letters 20, 475 (1968) Phys. Rev. 175, 1820 (1968)
H. J. Schnitzer, Phys. Rev. 158, 1471 (1967)
P. Pond, Northeastern University Ph.D. thesis, 1970 (unpublished) unpublished report
S. L. Glashow and S. Weinberg, Phys. Rev. Letters 20, 224 (1968)
I. Gerstein and H. J. Schnitzer, Phys. Rev. 175, 1876 (1968)
R. Arnowitt, M. H. Friedman, and P. Nath, Nucl. Phys. B10, 578 (1969)
R. Perrin, Phys. Rev. 170, 1367 (1968) S. G. Brown and G. B. West, ibid. 174, 1777 (1968) R. Arnowitt, M. H. Friedman, and P. Nath, Phys. Letters 27B, 657 (1968)
M. Miller, Northeastern University Ph.D. thesis, 1970 (unpublished)
[1–12] J. Brehm, E. Golowich, and S. C. Prasad, Phys. Rev. Letters 23, 666 (1969) R. Rockmore, ibid. 24, 54 (1970) Phys. Rev. D 2, 593 (1970) [14]
G. Gounaris and J. J. Sakurai, Phys. Rev. Letters 21, 244 (1968) M. T. Vaughn and K. C. Wali, ibid. 21, 938 (1968) Phys. Rev. 177, 2199 (1969) M. T. Vaughn, Nuovo Cimento Letters 2, 851 (1969) [13]
T. D. Lee, S. Weinberg, and B. Zumino, Phys. Rev. Letters 18, 1029 (1967) [1] [2]
[2] S. Weinberg, Phys. Rev. D 2, 674 (1970) S. Gasiorowicz and D. Geffen, Rev. Mod. Phys. 41, 531 (1969)
S. G. Brown and G. B. West [Phys. Rev. Letters 19, 812 (1967) Phys. Rev. 168, 1605 (1968)]
H. J. Schnitzer and M. Wise [Ann. Phys. (N. Y.) 59, 129 (1970)
[14]
S. Weinberg, Phys. Rev. Letters 18, 507 (1967)
[17]
[2] [1]
Omitted endnote

[c1] H. J. Schnitzer and S. Weinberg, Phys. Rev. 164, 1828 (1967)

[c2] R. Arnowitt, M. H. Friedman, and P. Nath, Phys. Rev. Letters 19, 1085 (1967) Phys. Rev. 174, 1999 (1968) ibid.174, 2008 (1968) R. Arnowitt, M. H. Friedman, P. Nath, and R. Suitor, ibid. 175, 1802 (1968)

[c3] M. Gell-Mann, Physics 1, 63 (1964)

[c4] I. Gerstein and H. J. Schnitzer, Phys. Rev. 170, 1638 (1968)

[c5] R. Arnowitt, M. H. Friedman, P. Nath, and R. Suitor, Phys. Rev. Letters 20, 475 (1968) Phys. Rev. 175, 1820 (1968)

[c6] H. J. Schnitzer, Phys. Rev. 158, 1471 (1967)

[c7] P. Pond, Northeastern University Ph.D. thesis, 1970 (unpublished) unpublished report

[c8] S. L. Glashow and S. Weinberg, Phys. Rev. Letters 20, 224 (1968)

[c9] I. Gerstein and H. J. Schnitzer, Phys. Rev. 175, 1876 (1968)

[c10] R. Arnowitt, M. H. Friedman, and P. Nath, Nucl. Phys. B10, 578 (1969)

[c11] R. Perrin, Phys. Rev. 170, 1367 (1968) S. G. Brown and G. B. West, ibid. 174, 1777 (1968) R. Arnowitt, M. H. Friedman, and P. Nath, Phys. Letters 27B, 657 (1968)

[c12] M. Miller, Northeastern University Ph.D. thesis, 1970 (unpublished)

[c13] [1–12] J. Brehm, E. Golowich, and S. C. Prasad, Phys. Rev. Letters 23, 666 (1969) R. Rockmore, ibid. 24, 54 (1970) Phys. Rev. D 2, 593 (1970) [14]

[c14] G. Gounaris and J. J. Sakurai, Phys. Rev. Letters 21, 244 (1968) M. T. Vaughn and K. C. Wali, ibid. 21, 938 (1968) Phys. Rev. 177, 2199 (1969) M. T. Vaughn, Nuovo Cimento Letters 2, 851 (1969) [13]

[c15] T. D. Lee, S. Weinberg, and B. Zumino, Phys. Rev. Letters 18, 1029 (1967) [1] [2]

[c16] [2] S. Weinberg, Phys. Rev. D 2, 674 (1970) S. Gasiorowicz and D. Geffen, Rev. Mod. Phys. 41, 531 (1969)

[c17] S. G. Brown and G. B. West [Phys. Rev. Letters 19, 812 (1967) Phys. Rev. 168, 1605 (1968)]

[c18] H. J. Schnitzer and M. Wise [Ann. Phys. (N. Y.) 59, 129 (1970)

[c19] [14]

[c20] S. Weinberg, Phys. Rev. Letters 18, 507 (1967)

[c21] [17]

[c22] [2] [1]

[c23] Omitted endnote

Physical Review D

Export citation

Export citation

Study of Chiral $SU (2) \times SU (2)$ Current-Algebra Models

Abstract

References (23)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation

Study of Chiral SU(2)×SU(2) Current-Algebra Models

Abstract

References (23)

Study of Chiral $SU (2) \times SU (2)$ Current-Algebra Models