Solving the gluon Dyson-Schwinger equation in the Mandelstam approximation

Computer Physics Communications

Volumn 112, Issue 2-3, 1998, Pages 149-165

  Hauck, A ^a   Von Smekal, L ^b   Alkofer, R ^a  

^a UNIVERSITY OF TÜBINGEN   (Germany)

^b UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

Constrained iterative solution; Dyson Schwinger equations; Gluon propagator; Infrared asymptotic series; Landau gauge; Mandelstam approximation; Nonlinear integral equations; Nonperturbative QCD

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; CONSTRAINT THEORY; CORRELATION METHODS; DIFFERENTIAL EQUATIONS; GREEN'S FUNCTION; INTEGRAL EQUATIONS; ITERATIVE METHODS; NONLINEAR EQUATIONS; NUMERICAL METHODS; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

DYSON-SCHWINGER EQUATION; GLUON PROPAGATORS; INFRARED ASYMPTOTIC SERIES; LANDAU GAUGE; MANDELSTAM APPROXIMATION;

EQUATIONS OF MOTION;

EID: 0032140837     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0010-4655(98)00046-0     Document Type: Article

References (29)

1. A. Hauck, L. von Smekal, R. Alkofer, Solving a coupled set of truncated QCD Dyson-Schwinger equations, Comput. Phys. Commun. 112 (1998) 166.
2. L. von Smekal, A. Hauck, R. Alkofer, Phys. Rev. Lett. 79 (1997) 3591; L. von Smekal, A. Hauck, R. Alkofer, A solution to coupled Dyson-Schwinger equations for gluons and ghosts in Landau gauge, hep-ph/9707327, e-print, Ann. Phys., in print.
3. L. von Smekal, A. Hauck, R. Alkofer, Phys. Rev. Lett. 79 (1997) 3591; L. von Smekal, A. Hauck, R. Alkofer, A solution to coupled Dyson-Schwinger equations for gluons and ghosts in Landau gauge, hep-ph/9707327, e-print, Ann. Phys., in print.
4. S. Mandelstam, Phys. Rev, D 20 (1979) 3223.
5. D. Atkinson et al., J. Math. Phys. 22 (1981) 2704; D. Atkinson, P.W. Johnson, K. Stam, J. Math. Phys. 23 (1982) 1917.
6. D. Atkinson et al., J. Math. Phys. 22 (1981) 2704; D. Atkinson, P.W. Johnson, K. Stam, J. Math. Phys. 23 (1982) 1917.
7. N. Brown, M.R. Pennington, Phys. Rev. D 39 (1989) 2723; N. Brown, Ph.D. Thesis, University of Durham, August 1988.
8. N. Brown, M.R. Pennington, Phys. Rev. D 39 (1989) 2723; N. Brown, Ph.D. Thesis, University of Durham, August 1988.
9. L. von Smekal, A. Hauck, R. Alkofer, Phys. Rev. Lett. 79 (1997) 3591; L. von Smekal, A. Hauck, R. Alkofer, A solution to coupled Dyson-Schwinger equations for gluons and ghosts in Landau gauge, hep-ph/9707327, e-print, Ann. Phys., in print.
10. L. von Smekal, A. Hauck, R. Alkofer, Phys. Rev. Lett. 79 (1997) 3591; L. von Smekal, A. Hauck, R. Alkofer, A solution to coupled Dyson-Schwinger equations for gluons and ghosts in Landau gauge, hep-ph/9707327, e-print, Ann. Phys., in print.
11. D. Atkinson, J.C.R. Bloch, hep-ph/9712459, e-print.
12. A. Hauck, L. von Smekal, R. Alkofer, Solving a coupled set of truncated QCD Dyson-Schwinger equations, Comput. Phys. Commun. 112 (1998) 166.
13. N. Brown, M.R. Pennington, Phys. Rev. D 38 (1988) 2266.
14. J.S. Ball, T.-W. Chiu, Phys. Rev. D 22 (1980) 2550; S.K. Kim, M. Baker, Nuct. Phys. B 164 (1980) 152.
15. J.S. Ball, T.-W. Chiu, Phys. Rev. D 22 (1980) 2550; S.K. Kim, M. Baker, Nuct. Phys. B 164 (1980) 152.
16. M. Baker, J.S. Ball, F. Zachariasen, Nucl. Phys. B 186 (1981) 531; 560.
17. W.J. Schoenmaker, Nucl. Phys. B 194 (1982) 535.
18. J.R. Cudell, D.A. Ross, Nucl. Phys. B 358 (1991) 247.
19. K. Büttner, M.R. Pennington, Phys. Rev. D 52 (1995) 5220.
20. R. Alkofer, M.R. Pennington, L. von Smekal, P. Watson, work in progress.
21. F. Lenz, H.W.L. Naus, K. Otha, M. Thies, Ann. Phys. 233 (1994) 12; 51; F. Lenz, H.W.L. Naus, M. Thies, Ann. Phys. 233 (1994) 317.
22. F. Lenz, H.W.L. Naus, K. Otha, M. Thies, Ann. Phys. 233 (1994) 12; 51; F. Lenz, H.W.L. Naus, M. Thies, Ann. Phys. 233 (1994) 317.
23. L. v. Smekal, P.A. Amundsen, R. Alkofer, Nucl. Phys. A 529 (1991) 633.
24. R.M. Barnett et al., Phys. Rev. D 54 (1996) Section 9, pp. 77-84.
25. E. Eichten, K. Gottfried, T. Kinoshita, K.D. Lane, T.M. Yan, Phys. Rev. D 21 (1980) 203.
26. W. Buchmüller, S.H.H. Tye, Phys. Rev. D 24 (1981) 132.
27. H.Q. Ding, C.F. Baillie, G.C. Fox, Phys. Rev. D 41 (1990) 2912.
28. M. Abramowitz, I.A. Stegun, eds., Pocketbook of Mathematical Functions (Verlag Harri Deutsch, Frankfurt, Main, 1984).
29. W.H. Press, S.A. Teukolsky, W.T. Vetterling, B.B. Flannery, Numerical Recipes in FORTRAN (Cambridge Univ. Press, Cambridge, 1994).