Analytic structure of the quark propagator in a model with an infrared vanishing gluon propagator

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 53, Issue 1, 1996, Pages 446-457

  Bender, Axel ^a   Alkofer, Reinhard ^b  

^a ARGONNE NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF TÜBINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000420275     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.53.446     Document Type: Article

References (31)

1. C. D. Roberts and A. G. Williams, in Dyson Schwinger Equations and Their Application to Hadronic Physics, edited by A. Faessler, Progress in Particle and Nuclear Physics (Pergamon Press, Oxford, 1994), Vol. 33, pp. 477-575.
2. Baryons are described by relativistic Faddeev equations.
3. D. Zwanziger, Nucl. Phys. B364, 127 (1991).
4. U. Häbel, et al., Z. Phys. A 336, 423 (1990);
5. U. Häbel, et al., Z. Phys. A 336, 435 (1990);
6. M. Stingl, Phys. Rev. D 34, 3863 (1986);
7. M. Stingl, Phys. Rev. D 36, 651(E) (1987);
8. M. Stingl, “A Systematic Extended Iterative Solution for Quantum Chromodynamics,” Universität Münster Report No. MS TPI 94-13, (unpublished).
9. L. v. Smekal, Ph.D. thesis, Tübingen University, 1995.
10. C. Bernard, C. Parrinello and A. Soni, Phys. Rev. D 49, 1585 (1994).
11. F. T. Hawes, C. D. Roberts and A. G. Williams, Phys. Rev. D 49, 4683 (1994).
12. We use the negative semidefinite Euclidean metric, gµν = -δµν, a b = - sumj=1 ajj <= 0 forall a=b in I ! ! R 4. For abbreviation, we nevertheless define the square of a momentum as q2: = -q q ge 0. All Euclidean Dirac matrices γµ are anti Hermitian and obey the anticommutation relations (γµ, γν) = -2δµν.
13. W. Marciano and H. Pagels, Phys. Rep. 36, 137 (1978).
14. P. Pascual and R. Tarrach, QCD: Renormalization for the Practitioner (Springer Verlag, Berlin, 1984).
15. H. D. Politzer, Nucl. Phys. B117, 397 (1976).
16. F. J. Ynduráin, The Theory of Quark and Gluon Interactions (Springer Verlag, Berlin, 1993).
17. J. D. Bjorken and S. D. Drell, Relativistic Quantum Fields (McGraw Hill, New York, 1965).
18. R. Delbourgo and M. D. Scadron, J. Phys. G 5, 1631 (1979).
19. C. D. Roberts (private communication).
20. R. T. Cahill and C. D. Roberts, Phys. Rev. D 32, 2419 (1985).
21. R. Fukuda and T. Kugo, Nucl. Phys. B117, 250 (1976).
22. J. M. Cornwall, R. Jackiw and E. Tomboulis, Phys. Rev. D 10, 2428 (1974).
23. C. D. Roberts and R. T. Cahill, Phys. Rev. D 33, 1755 (1986).
24. D. Atkinson and P. W. Johnson, Phys. Rev. D 35, 1943 (1987).
25. S. J. Stainsby and R. T. Cahill, Phys. Lett. A 146, 467 (1990);
26. S. J. Stainsby and R. T. Cahill, Int. J. Mod. Phys. A 7, 7541 (1992)
27. P. Maris and H. Holties, Int. J. Mod. Phys. A. 7, 5369 (1992).
28. Particle Data Group, L. Montanet, et al., Phys. Rev. D 50, 1173 (1994).
29. L. D. Landau and I. M. Khalatnikov, Sov. Phys. JETP 2, 69 (1956).
30. D. C. Curtis and M. R. Pennington, Phys. Rev. D 42, 4165 (1990).
31. M. Becker, et al., Phys. Lett. B 267, 261 (1991).