Abelian model for mesons

Dominique Olivier

doi:10.1103/PhysRevD.32.483

Access by Xinjiang University

Abelian model for mesons

Dominique Olivier

Laboratoire de Physique Théorique et Hautes Energies, Université Paris VII, Tour 14-24, 5 ème étage, 2, Place Jussieu, 75251 Paris Cedex 05, France

PDF

Phys. Rev. D 32, 483 – Published 15 July, 1985

DOI: https://doi.org/10.1103/PhysRevD.32.483

Abstract

We present an Abelian model for mesons based on the interaction of a charged Nambu string with a U(1) gauge field. The concept of effective quarks is introduced and the model leads to the semi- relativistic equation [( $p^{2}$ + $m_{1}$ $^{2}$ $)^{1 / 2}$ +( $p^{2}$ + $m_{2}$ $^{2}$ $)^{1 / 2}$ +ar-b/r]ψ(r→ )=Eψ(r→) to describe mesons.

References (21)

Let us mention the earliest work of E. Eichten et al. [Phys. Rev. Lett. 34, 369 (1975)] for nonrelativistic models and that of J. Kang and H. Schnitzer [Phys. Rev. D 12, 841 (1975)] for semirelativistic models. A more complete list of references is given in C. Quigg, in Gauge Theories, 1981 Les Houches Lectures, edited by M. K. Gaillard and R. Stora (North-Holland, Amsterdam, 1982).
D. Olivier, Z. Phys. C 27, 315 (1985).
D. Olivier, Ph.D. thesis, Université Paris 6 (1983).
D. Olivier, following paper, Phys. Rev. D 31, 490 (1985).
L. J. Tassie, Phys. Lett. 46B, 397 (1973).
A. Barut and G. L. Bornzin, Nucl. Phys. B81, 477 (1974).
Y. Nambu, Phys. Rev. D 10, 4262 (1974).
A. P. Balachandran et al., Phys. Rev. D 13, 361 (1976).
I. Bars and A. J. Hanson, Phys. Rev. D 13, 1744 (1976).
H. Sugawara, Phys. Rev. D 14, 2764 (1976).
K. Kikkawa, M. Sato, T. Kotani and M. Kenmoku, Phys. Rev. D 18, 2606 (1978).
D. Olivier, Report No. LPTHE 84.29, 1984 (unpublished).
Y. Nambu, in Symmetries and Quark Models, proceedings of the International Conference, Detroit, Michigan, 1969, edited by R. Chand (Gordon and Breach, New York, 1970).
D. C. Salisbury and K. Sundermeyer, Nucl. Phys. B191, 260 (1981).
W. Bardeen, I. Bars, A. J. Hanson and R. D. Peccei, Phys. Rev. D 13, 2364 (1976).
L. Brink, P. di Vecchia and P. Howe, Nucl. Phys. B118, 76 (1977).
P.A.M. Dirac, Phys. Rev. 74, 817 (1948).
C. Rebbi, Phys. Rep. 12C, 1 (1973).
E. Eichten et al., Phys. Rev. D 21, 203 (1980).
P.A.M. Dirac, Proc. R. Soc. London A246, 326 (1958).
K. Brink and H. D. Nielsen, Phys. Lett. 58, 4 (1973); M. Lücher, K. Symanzik and P. Weisz, Nucl. Phys. B173, 365 (1980); J. F. Arvis, Phys. Lett. 127B, 106 (1983).

[c1] Let us mention the earliest work of E. Eichten et al. [Phys. Rev. Lett. 34, 369 (1975)] for nonrelativistic models and that of J. Kang and H. Schnitzer [Phys. Rev. D 12, 841 (1975)] for semirelativistic models. A more complete list of references is given in C. Quigg, in Gauge Theories, 1981 Les Houches Lectures, edited by M. K. Gaillard and R. Stora (North-Holland, Amsterdam, 1982).

[c2] D. Olivier, Z. Phys. C 27, 315 (1985).

[c3] D. Olivier, Ph.D. thesis, Université Paris 6 (1983).

[c4] D. Olivier, following paper, Phys. Rev. D 31, 490 (1985).

[c5] L. J. Tassie, Phys. Lett. 46B, 397 (1973).

[c6] A. Barut and G. L. Bornzin, Nucl. Phys. B81, 477 (1974).

[c7] Y. Nambu, Phys. Rev. D 10, 4262 (1974).

[c8] A. P. Balachandran et al., Phys. Rev. D 13, 361 (1976).

[c9] I. Bars and A. J. Hanson, Phys. Rev. D 13, 1744 (1976).

[c10] H. Sugawara, Phys. Rev. D 14, 2764 (1976).

[c11] K. Kikkawa, M. Sato, T. Kotani and M. Kenmoku, Phys. Rev. D 18, 2606 (1978).

[c12] D. Olivier, Report No. LPTHE 84.29, 1984 (unpublished).

[c13] Y. Nambu, in Symmetries and Quark Models, proceedings of the International Conference, Detroit, Michigan, 1969, edited by R. Chand (Gordon and Breach, New York, 1970).

[c14] D. C. Salisbury and K. Sundermeyer, Nucl. Phys. B191, 260 (1981).

[c15] W. Bardeen, I. Bars, A. J. Hanson and R. D. Peccei, Phys. Rev. D 13, 2364 (1976).

[c16] L. Brink, P. di Vecchia and P. Howe, Nucl. Phys. B118, 76 (1977).

[c17] P.A.M. Dirac, Phys. Rev. 74, 817 (1948).

[c18] C. Rebbi, Phys. Rep. 12C, 1 (1973).

[c19] E. Eichten et al., Phys. Rev. D 21, 203 (1980).

[c20] P.A.M. Dirac, Proc. R. Soc. London A246, 326 (1958).

[c21] K. Brink and H. D. Nielsen, Phys. Lett. 58, 4 (1973); M. Lücher, K. Symanzik and P. Weisz, Nucl. Phys. B173, 365 (1980); J. F. Arvis, Phys. Lett. 127B, 106 (1983).

Physical Review D

Export citation

Export citation

Abelian model for mesons

Abstract

References (21)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation