2007

Alternative Large Nc Schemes and Chiral Dynamics

Sannino, Francesco, Schechter, Joseph

Understand

We compare the dependences on the number of colors of the leading pion pion scattering amplitudes using the single index quark field and two index quark fields.

These are seen to have different relationships to the scattering amplitudes suggested by chiral dynamics which can explain the long puzzling pion pion s wave scattering up to about 1 GeV.
This may be interesting for getting a better understanding of the large Nc approach as well as for application to recently proposed technicolor models.

Built on

M. Gell-Mann and M. Levy, Nuovo Cimento 16
1960
Earlier work this paper cites.
Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122
1961
Earlier work this paper cites.
G.’t Hooft, Nucl. Phy. B72
1974
Earlier work this paper cites.
R. L. Jaffe, Phys. Rev. D 15
1977
Earlier work this paper cites.
E. Witten, Nucl. Phy. B160
1979
Earlier work this paper cites.
E. Corrigan and P. Ramond, Phys. Lett. B 87
1979
Earlier work this paper cites.
J. D. Weinstein and N. Isgur, Phys. Rev. Lett. 48
1982
Earlier work this paper cites.
J.M. Cornwall, D.N. Levin and G. Tiktopoulos, Phys. Rev. D 10
1985
Earlier work this paper cites.
H. Georgi, Nucl. Phys. B 266
1986
Earlier work this paper cites.
E. B. Kiritsis and J. Papavassiliou, Phys. Rev. D 42
1990
Earlier work this paper cites.
D. Black, A. H. Fariborz and J. Schechter, Phys. Rev. D 61
1991
Earlier work this paper cites.
D. Black, A. H. Fariborz and J. Schechter, Phys. Rev. D 61
1991
Earlier work this paper cites.
R. Delbourgo and M. D. Scadron, Mod. Phys. Lett. A 10
1992
Earlier work this paper cites.
E. Van Beveren, T. A. Rijken, K. Metzger, C. Dullemond, G. Rupp and J. E. Ribeiro, Z. Phys. C 30
1993
Earlier work this paper cites.
D. Morgan and M. R. Pennington, Phys. Rev. D 48
1993
Earlier work this paper cites.
N. N. Achasov and G. N. Shestakov, Phys. Rev. D 49
1994
Earlier work this paper cites.
R. Kamínski, L. Leśniak and J. P. Maillet, Phys. Rev. D 50
1994
Earlier work this paper cites.
F. Sannino and J. Schechter, Phys. Rev. D 52
1995
Earlier work this paper cites.
G. Janssen, B. C. Pearce, K. Holinde and J. Speth, Phys. Rev. D 52
1995
Earlier work this paper cites.
M. Harada, F. Sannino and J. Schechter, Phys. Rev. D 54
1996
Earlier work this paper cites.
M. Svec, Phys. Rev. D 53
1996
Earlier work this paper cites.
V. Dmitrasinovic, Phys. Rev. C 53
1996
Earlier work this paper cites.

Similar

M. Harada, F. Sannino and J. Schechter, Phys. Rev. Lett. 78
1997
Cited alongside, same era.
S. Ishida, M. Ishida, H. Takahashi, T. Ishida, K. Takamatsu and T. Tsuru, Prog. Theor. Phys. 95
1997
Cited alongside, same era.
A. V. Anisovich and A. V. Sarantsev, Phys. Lett. B 413
1997
Cited alongside, same era.
N. A. Tornqvist, Z. Phys. C 68
1998
Cited alongside, same era.
D. Black, A. H. Fariborz, F. Sannino and J. Schechter, Phys. Rev. D 58
1998
Cited alongside, same era.
V. Elias, A. H. Fariborz, F. Shi and T. G. Steele, Nucl. Phys. A 633
1998
Cited alongside, same era.
L. Burakovsky and T. Goldman, Phys. Rev. D 57
1998
Cited alongside, same era.
T. Hatsuda, T. Kunihiro and H. Shimizu, Phys. Rev. Lett. 82
1998
Cited alongside, same era.
A. A. Bolokhov, A. N. Manashov, V. V. Vereshagin and V. V. Polyakov, Phys. Rev. D 48
1999
Cited alongside, same era.
D. Black, A. H. Fariborz, F. Sannino and J. Schechter, Phys. Rev. D 59
1999
Cited alongside, same era.
J. A. Oller, E. Oset and J. R. Pelaez, Phys. Rev. Lett. 80
1999
Cited alongside, same era.
P. Minkowski and W. Ochs, Eur. Phys. J. C 9
1999
Cited alongside, same era.

Then

M. Harada, F. Sannino and J. Schechter, Phys. Rev. D 69
2004
Later among the works it cites.
L. Maiani, A. Polosa, F. Piccinni and V. Riquier, Phys. Rev. Lett. 93
2004
Later among the works it cites.
F. Sannino and M. Shifman, Phys. Rev. D 69
2004
Later among the works it cites.
A. Feo, P. Merlatti and F. Sannino, Phys. Rev. D 70
2004
Later among the works it cites.
D. K. Hong, S. D. H. Hsu and F. Sannino, Phys. Lett. B 597
2004
Later among the works it cites.
In addition to [ 39 ] and [ 40 ] above see T. Teshima, I. Kitamura and N. Morisita, J. Phys. G 28
2005
Later among the works it cites.
Y. S. Kalashnikova, A. E. Kudryavtsev, A. V. Nefediev, C. Hanhart and J. Haidenbauer, the Eur. Phys. J. A 24
2005
Later among the works it cites.
A. Armoni, M. Shifman and G. Veneziano, Phys. Rev. D 71
2005
Later among the works it cites.
P. Kovtun, M. Unsal and L. G. Yaffe, Phys. Rev. D 72
2005
Later among the works it cites.
F. Sannino, Phys. Rev. D 72
2005
Later among the works it cites.
F. Sannino and K. Tuominen, Phys. Rev. D 71
2005
Later among the works it cites.
J. R. Pelaez, Phys. Rev. Lett. 92
2006
Later among the works it cites.
The Roy equation for the pion amplitude, S.M. Roy, Phys. Lett. B 36
2006
Later among the works it cites.
A. Armoni, G. Shore and G. Veneziano, Nucl. Phys. B 740
2006
Later among the works it cites.
M. Unsal and L. G. Yaffe, Phys. Rev. D 74
2006
Later among the works it cites.
M. T. Frandsen, C. Kouvaris and F. Sannino, Phys. Rev. D 74
2006
Later among the works it cites.
D. D. Dietrich, F. Sannino and K. Tuominen, Phys. Rev. D 72
2006
Later among the works it cites.
S. B. Gudnason, C. Kouvaris and F. Sannino, Phys. Rev. D 74
2006
Later among the works it cites.
T. A. Ryttov and F. Sannino, Phys. Rev. D 73
2006
Later among the works it cites.
Further discussion of the approach in ref. [ 43 ] above is given in D.V. Bugg, J. Phys. G 34
2007
Closest in time.
A. Armoni, M. Shifman and G. Veneziano, Phys. Lett. B 647
2007
Closest in time.

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