Regularizing the quark-level linear σ-model

Modern Physics Letters A

Volumn 13, Issue 23, 1998, Pages 1893-1898

  Delbourgo, R ^a   Scadron, M D ^a,c   Rawlinson, A A ^b  

^a UNIVERSITY OF TASMANIA   (Australia)

^b UNIVERSITY OF MELBOURNE   (Australia)

^c The University of Arizona   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000205608     PISSN: 02177323     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217732398001996     Document Type: Article

References (15)

1. N. A. Tornqvist and M. Roos, Phys. Rev. Lett. 76, 1575 (1996); S. Ishida, M. Ishida, H. Takahashi, T. Ishida, K. Takamatsu and T. Tsuru, Prog. Theor. Phys. 95, 745 (1996); M. Ishida, ibid. 96, 85 (1996). See also Particle Data Group, R. M. Barnett et al., Phys. Rev. D54, 1 (1996).
2. N. A. Tornqvist and M. Roos, Phys. Rev. Lett. 76, 1575 (1996); S. Ishida, M. Ishida, H. Takahashi, T. Ishida, K. Takamatsu and T. Tsuru, Prog. Theor. Phys. 95, 745 (1996); M. Ishida, ibid. 96, 85 (1996). See also Particle Data Group, R. M. Barnett et al., Phys. Rev. D54, 1 (1996).
3. N. A. Tornqvist and M. Roos, Phys. Rev. Lett. 76, 1575 (1996); S. Ishida, M. Ishida, H. Takahashi, T. Ishida, K. Takamatsu and T. Tsuru, Prog. Theor. Phys. 95, 745 (1996); M. Ishida, ibid. 96, 85 (1996). See also Particle Data Group, R. M. Barnett et al., Phys. Rev. D54, 1 (1996).
4. N. A. Tornqvist and M. Roos, Phys. Rev. Lett. 76, 1575 (1996); S. Ishida, M. Ishida, H. Takahashi, T. Ishida, K. Takamatsu and T. Tsuru, Prog. Theor. Phys. 95, 745 (1996); M. Ishida, ibid. 96, 85 (1996). See also Particle Data Group, R. M. Barnett et al., Phys. Rev. D54, 1 (1996).
5. M. Gell-Mann and M. Lévy, Nuovo Cimento 16, 705 (1960). We have used σ′ rather than σ as the quantum field to avoid notational confusion with former work.
6. R. Delbourgo and M. D. Scadron, Mod. Phys. Lett. A10, 251 (1995).
7. Particle Data Group, M. Aguilar Benitez et al., Phys. Rev. D50, 1173 (1994) Pt. 1.
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10. For analytic, dimensional and Pauli-Villars regularization, see the review by R. Delbourgo, Rep. Prog. Phys. 39, 345 (1976). For a review of zeta-function regularization, see E. Elizalde et al., Techniques with Applications (World Scientific, 1994).
11. For analytic, dimensional and Pauli-Villars regularization, see the review by R. Delbourgo, Rep. Prog. Phys. 39, 345 (1976). For a review of zeta-function regularization, see E. Elizalde et al., Techniques with Applications (World Scientific, 1994).
12. See, e.g., J. J. Lodder, Physica A120, 1 (1983).
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15. See, e.g., C. Itzykson and J. Zuber, Quantum Field Theory (McGraw-Hill, 1980), p. 411.