Abstract
The commonly used types of effective theory for vector mesons are reviewed and their relationships clarified. They are shown to correspond to different choices of field for spin-1 particles and the rules for transforming between them are described. The importance of respecting chiral symmetry is stressed. The choice of fields that transform homogeneously under the nonlinear realisation of chiral symmetry imposes no preconceptions about the types of coupling for the mesons. This representation thus provides a convenient framework for relating different theories. It is also used to elucidate the nature of the assumptions in specific hiddengauge and massive Yang-Mills models that have been widely used.
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References
J. F. Donoghue, E. Golowich and B. R. Holstein,Dynamics of the standard model, (Cambridge University Press, Cambridge, 1992).
J. J. Sakurai,Currents and mesons, (University of Chicago Press, Chicago, 1969).
V. de Alfaro, S. Fubini, G. Furlan and C. Rossetti,Currents in hadron physics, (North Holland, Amsterdam, 1973).
S. Gasiorowicz and D. A. Geffen, Rev. Mod. Phys.41 (1969) 531.
Ö. Kaymakcalan, S. Rajeev and J. Schechter, Phys. Rev.D30 (1984) 594;
H. Gomm, Ö. Kaymakcalan and J. Schechter,Ibid. 2345.
U.-G. Meissner, Phys. Rep.161 (1988) 213.
M. Bando, T. Kugo and K. Yamawaki, Phys. Rep.164 (1988) 217.
S. Weinberg, Phys. Rev.166 (1968) 1568.
S. Coleman, J. Wess and B. Zumino, Phys. Rev.177 (1969) 2239;
C. G. Callan, S. Coleman, J. Wess and B. Zumino,ibid. 2247.
G. Ecker, J. Gasser, A. Pich and E. de Rafael, Nucl. Phys.B321 (1989) 425.
G. Ecker, H. Leutwyler, J. Gasser, A. Pich and E. de Rafael, Phys. Lett.B223 (1989) 425.
J. Bijnens, Ch. Bruno and E. de Rafael, Nucl. Phys.390 (1993) 501.
J. Bijnens, NORDITA preprint 95/12NP (1995), hep-ph/9502393.
A. Bramon, A. Grau and G. Pancheri, Phys. Lett.317 (1993) 190.
S. I. Eidelman, Z. K. Silagadze and E. A. Kuraev, Phys. Lett.B346 (1995) 186.
H. B. O’Connell, B. C. Pearce, A. W. Thomas and A. G. Williams, Phys. Lett.B336 (1994) 1;B354 (1995) 14; University of Adelaide preprint ADP-95-1/T168 (1995), hep-ph/9501251, to be published inTrends in Particle and Nuclear Physics;
H. B. O’Connell, A. G. Williams, M. Bracco and G. Krein, University of Adelaide preprint ADP-95-49/T196 (1995), hep-ph/9510425.
C. Gale and J. I. Kapusta, Nucl. Phys.B357 (1991) 65;
C. Song, Phys. Rev.D48 (1993) 1375;
S.-H. Lee, C. Song and H. Yabu, Phys. Lett.B341 (1995) 407;
C. Song, hep-ph/9501364.
H. Shiomi and T. Hatsuda, Phys. Lett.B334 (1994) 281.
G. E. Brown and M. Rho, Phys. Lett.B338 (1994) 301; hep-ph/9504250, to be published in Phys. Reports.
R. D. Pisarski, Phys. Rev.D52 (1995) R3773; hep-ph/9505257.
S. Weinberg, Phys. Rev. Lett.17 (1966) 616.
Y. Tomozawa, Nuovo Cim.46A (1966) 707.
K. Kawarabayashi and M. Suzuki, Phys. Rev. Lett.16 (1966) 255;
Fayyazuddin and Riazuddin, Phys. Rev.147 (1966) 1071.
J. Gasser and H. Leutwyler, Ann. Phys.158 (1984) 142; Nucl. Phys.B250 (1985) 465.
J. F. Donoghue, C. Ramirez and G. Valencia, Phys. Rev.D39 (1989) 1947.
D. Kalafatis, Phys. Lett.B313 (1993) 115.
D. Kalafatis and M. C. Birse, Nucl. Phys.A584 (1995) 589.
H. Georgi, Phys. Rev. Lett.63 (1989) 1917; Nucl. Phys.331 (1990) 311.
M. Bando, T. Kugo and K. Yamawaki, Nucl. Phys.B259 (1985) 493.
M. Bando, T. Kugo and K. Yamawaki, Prog. Theor. Phys.73 (1985) 1541.
Y. Brihaye, N. K. Pak and P. Rossi, Nucl. Phys.B254 (1985) 71.
E. Pallante and R. Petronzio, Nucl. Phys.B396 (1993) 205.
B. Borasoy and U.-G. Meissner, Universität Bonn preprint TK-95-31, hep-ph/9511320.
J. Bijnens and E. Pallante, NORDITA preprint 95/63, hep-ph/9510338.
M. Bando, T. Kugo, S. Uehara, K. Yamawaki and T. Yanagida, Phys. Rev. Lett.54 (1985) 1215.
Particle Data Group, Phys. Rev.D50 (1994) 1443.
M. K. Banerjee and J. B. Cammerata, Phys. Rev.D17 (1978) 1125.
N. M. Kroll, T. D. Lee and B. Zumino, Phys. Rev.157 (1967) 1376.
T. H. R. Skyrme, Proc. Roy. Soc.A260 (1961) 127; Nucl. Phys.31 (1962) 556.
J. Goldstone and F. Wilczek, Phys. Rev. Lett.47 (1981) 986.
E. Witten, Nucl. Phys.B233 (1983) 422, 433.
J. Wess and B. Zumino, Phys. Lett.B37 (1971) 95.
I. Zahed and G. E. Brown, Phys. Reports142 (1986) 1.
M. Froissart, Phys. Rev.123 (1961) 1053;
A. Martin, Phys. Phys.129 (1963) 1432.
M. R. Pennington and J. Portoles, Phys. Lett.B344 (1995) 399.
K. Huber and H. Neufeld, Phys. Lett.B357 (1995) 221.
E. G. Floratos, S. Narison and E. de Rafael, Nucl. Phys.B155 (1979) 115.
M. Harada and K. Yamawaki, Phys. Lett.B297 (1992) 151.
M. Harada, T. Kugo and K. Yamawaki, Phys. Rev. Lett.71 (1991) 1299; Prog. Theor. Phys.91 (1994) 801.
R. S. Plant, private communication.
J. Schechter, Phys. Rev.D34 (1986) 868.
U.-G. Meissner and I. Zahed, Z. Phys.A327 (1987) 5.
K. Yamawaki, Phys. Rev.D35 (1987) 412.
Ö. Kaymakcalan and J. Schechter, Phys. Rev.D31 (1984) 1109.
S. Weinberg, Phys. Rev. Lett.18 (1967) 507.
E. A. Kuraev and Z. K. Silagadze, Phys. Lett.B292 (1992) 377;
E. L. Bratovskaya, E. A. Kuraev, Z. K. Silagadze and O. V. Teraev, Phys. Lett.B338 (1994) 471.
R. S. Plant and M. C. Birse, Phys. Lett.B365 (1996) 292.
P. K. Townsend, K. Pilch and P. van Nieuwenhuizen, Phys. Lett.B136 (1984) 38;
S. Deser and R. Jackiw, Phys. Lett.B139 (1984) 371.
K. Maltman, Phys. Lett.B351 (1995) 507; hep-ph/9504237, hep-ph/9504404.
S. Gardner, C. J. Horowitz and J. Piekarewicz, Phys. Rev. Lett.75 (1995) 2462; nucl-th/9508035.
K. Maltman, H. B. O’Connell and A. G. Williams, University of Adelaide preprint ADP-95-50/T197, hep-ph/9601309.
T. D. Cohen and G. A. Miller, Phys. Rev.C52 (1995) 3428.
M. J. Iqbal, X. Jin and D. B. Leinweber, University of Washington preprint UW-PP-DOE/ER/40427-19-N95, nucl-th/9504026.
K. Maltman, Phys. Lett.B362 (1995) 11.
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Communicated by W. Weise
This work is supported by the EPSRC and PPARC.