RT Journal Article
T1 Pion mass effects in the large-n limit of chiral perturbation-theory
A1 Dobado González, Antonio
A1 Morales, J.
AB We compute the large N effective action of the O(N + 1)/O(N) nonlinear a model including the effect of the pion mass to order m(pi)(2)/f(pi)(2). This action is more involved than the one corresponding to rr the chiral limit not only due to the pion propagators but also because the chiral symmetry produces new interactions proportional to m(pi)(2)/f(pi)(2). We renormalize the action by including the appropriate infinite set of counterterms and we obtain the renormalization-group equations for the corresponding couplings. Then we study the unitarity properties of the scattering amplitudes. Finally our results are applied to the particular case of the linear a model and also are used to fit the pion scattering phase shifts. In spite of the fact that the model has an infinite number of parameters to fit and, therefore, it does not have predictive power in a strict sense, a particularly simple choice of the couplings produces a good fit of the J = 0 phase shifts.
PB American Physical Society
SN 0556-2821
YR 1995
FD 1995-09-01
LK https://hdl.handle.net/20.500.14352/58736
UL https://hdl.handle.net/20.500.14352/58736
LA eng
NO [1] S. Weinberg, Physics 96A, 327 (1979). [2] J. Gasser snd H. Leutwyler, Ann. Phys. (N.Y.) 158, 142 (1984); Nucl. Phys. B250, 465 (1985);B250, 517 (1985).[3] A. Dobado snd M. J. Herrero, Phys. Lett. B 228, 495 (1989); 233, 505 (1989);J. Donoghue and C. Ramirez, ibid. 234, 361 (1990).[4] S. Bellucci, J. Gasser, and M. E. Sainio, Nucl. Phys. B423, 80 (1994); B431,413(E) (1994).[5] T. N. Truong, Phys. Rev. Lett. 61, 2526 (1988); A. Dobado, M. J. Herrero, and J. N. Truong, Phys. Lett. B 235, 129 (1990).[6] G. Ecker, J. Gasser, A. Pich, and E. de Rsfael, Nucl. Phys. B321, 311 (1989); G. Ecker, J. Gasser, H. Leutwyler, A. Pirch, and E.de Rafael, Phys. Lett. 8 223, 425 (1989);J. F. Donoghue, C. Ramirez, and G. Valencia, Phys. Rev. D 39, 1947 (1989);V. Bernard, N. Kaiser, and U. G. Meissner, Nucl. Phys. B364, 283 (1991).[7] A. Dobado and J. R. Pelaez, Phys. Rev. D 47, 4883 (1992).[8] A. Dobado and J. R. Pelaez, Phys. Lett. B 286, 136 (1992).[9] A. Dobado, A. Lopez, and J. Morales, Nuovo Cimento A 108, 33S (1OOS).[10] C. J. C. Im, Phys. Lett. B 281, 357 (1992).[11] M. J. Dugan and M. Golden, Phys. Rev. D 48, 4375 (1993).[12] M. R. Pennington and D. Morgan, Phys. Lett. B 314, 125 (1993).[13] A. Dobado and J. Morales (in preparation).[14] J. Chsrsp, Phys. Rev. D 2, 1115 (1970); I. S. Gerstein, R. Jackiw, B. W. Lee, and S. Weinberg, ibid. 3, 2486 (1971);J. Honerkamp, Nucl. Phys. B36, 130 (1972).[15] L. Tararu, Phys. Rev. D 12, 3351 (1975); T. Appelquist and C. Bernard, ibid. 23, 425 (1981); J. Zinn-Justin, quantum Field Theory and Critical Phenomena (Oxford University Press, New York, 1989).[16] D. Espriu and J. Matias, Nucl. Phys. B418, 494 (1994).[17] S. Coleman, R. Jackiw, and H. D. Politzer, Phys. Rev. D 10, 2491 (1974); S. Coleman, Aspects of Symmetry (Cambridge University Press, Cambridge, England, 1985).[18] R. Casalbuoni, D. Dominici, and R. Gatto, Phys. Lett. 147B,419 (1984); M. B.Einhorn, Nucl. Phys. B246, 75 (1984); R. S. Chivukula and M. Golden, ibid. B372, 44 (1992).[19] A. Dobado, Phys. Lett. B 237, 457 (1990); S. Willenbrock, Phys. Rev. D 43, 1710 (1991).[20] J. Gasser and Ulf-C. Meissner, Nucl. Phys. B357, 90 (1991);Phys. Lett. B 258, 219 (1991).[21] L. Rosselet et al., Phys. Rev. D 15, 574 (1977).[22] W. Manner, in Experimental Meson Spectroscopy, proceedings of the Fourth International Conference, edited by D. A. Garelich, AIP Conf. Proc. No. 21 (AIP, New York, 1974).[23] V. Srinivasan et aL, Phys. Rev. D 12, 681 (1975).[24] M. David et al. (unpublished); G. Villet et al. (unpublished).[25] P. Estabrooks and A. D. Martin, Nucl. Phys. B79, 301 (1974).[26] W. Hoogland et al., Nucl. Phys. B128, 109 (1977).[27] M. 3. Losty et oL, Nucl. Phys. B69, 301 (1974).[28] W. Hoogland et al., Nucl. Phys. BB9, 266 (1974).[29] Protopopescu et aL, Phys. Rev. D 7, 1279 (1973).
NO © Physical Society.This work was supported in part by the Ministerio de Educacion y Ciencia (Spain) (CICYT Grant No. AEN90-0034) and Colciencias (Colombia). A.D. thanks the CERN Theory Division, where the final part of this work was written, for its kind hospitality
NO Ministerio de Educación y Ciencia (Spain)
NO CICYT
NO Colciencias (Colombia)
DS Docta Complutense
RD 1 sept 2024