Quark mass and the masses of Goldstone bosons

doi:10.1007/s11467-008-0011-5

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Front. Phys. ›› 2008, Vol. 3 ›› Issue (1) : 61-68. DOI: 10.1007/s11467-008-0011-5

Quark mass and the masses of Goldstone bosons

ZHOU Li-juan¹, MA Wei-xing², WU Qing³

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Abstract

Based on the Dyson-Schwinger Equations (DSEs) of QCD in the “rainbow” approximation, the fully dressed quark propagator S_f(p) is investigated, and then an algebraic parametrization form of the propagator is obtained as a solution of the equations. The dressed quark amplitudes A_f and B_f which built up the fully dressed quark propagator, and the dynamical running masses M_f, which is defined by A_f and B_f for light quarks u, d and s, are calculated, respectively. Using the predicted current masses m_f, quark local vacuum condensates, and our predicted value of pion decay constant, the masses of Goldstone bosons K, ? and ? and their in-medium values are also evaluated. Our predictions fit to data and to many other different calculations quite well. The numerical results show that the mass of quark is dependent of its momentum p². The fully dressed quark amplitudes A_f and B_f have correct behaviors and can be used for many purposes in our future researches on non-perturbative QCD.

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ZHOU Li-juan, MA Wei-xing, WU Qing. Quark mass and the masses of Goldstone bosons. Front. Phys., 2008, 3(1): 61‒68 https://doi.org/10.1007/s11467-008-0011-5

References

1. Dyson F J Phys. Rev. 1949 751736. doi: 10.1103/PhysRev.75.1736
2. Schwinger J S Proc. Nat. Acad. Sc. 1951 37452. doi: 10.1073/pnas.37.7.452
3. Salpeter E E Bethe H A Phys. Rev. 1951 841232. doi: 10.1103/PhysRev.84.1232
4. Anthony H Hrayr Matevosyan Thomas W tandy P C Nuclth/0605057. doi: null
5. Maris P Roberts C D Tandy P C Phys. Letts. B 1998 420267. doi: 10.1016/S0370‐2693(97)01535‐9
6. Itzykson C Zuber J B Quantum Field TheoryNew YorkMCGraw-Hill 1996 . doi: null
7. Wick G C Phys. Rev. 1954 961124. doi: 10.1103/PhysRev.96.1124
8. Jackiw R Jahnson K Phys. Rev. 1973 82386. doi: null
9. Roberts C D Williams A G Prog. Part. Nucl. Phys. 1994 33477. doi: 10.1016/0146‐6410(94)90049‐3
10. Brown N Pennington M R Phys. Rev. D 1989 392723. doi: 10.1103/PhysRevD.39.2723
11. Dorokhov A E et al.Phys. Rev. D 1997 574052. doi: null
12. Ward J Phys. Rev. 1950 78182. doi: 10.1103/PhysRev.78.182
13. Takahashi Y Cimento Nuovo 1957 6370. doi: null
14. Marciano W Pagels H Phys. Rep. 1978 36137. doi: 10.1016/0370‐1573(78)90208‐9
15. Krassnigg A Roberts C D Wright S V Nucl-th/0608039. doi: null
16. Zhu L J Zhou L J Ma W X Commun. Theor. Phys. 2005 44(1)117. doi: null
17. Roberts C D Cahill R T sevior M E Iannella N Phys. Rev.D 1994 49125. doi: 10.1103/PhysRevD.49.125
18. Curtis D C Pennington M R Phys. Rev. D 1992 462663Erratum, Phys. Rev. D 1993 471729. doi: null
19. Ma W X Shen P N Zhou L J Commun. Theor. Phys. 2002 38571. doi: null
20. Bochicchio M et al.Nucl. Phys. B 1985 262331. doi: 10.1016/0550‐3213(85)90290‐1
21. Becirevic D et al.(APE collaboration) Phys. Rev. D 2000 61114507hep-ph /9909082. doi: 10.1103/PhysRevD.61.114507
22. Praschifka J chahill R T Roberts C D Int. J. Mod. Phys., A 1989 44929. doi: 10.1142/S0217751X89002090
23. Roberts C D Prog. Part. Nucl. Phys. 2000 45511. doi: 10.1016/S0146‐6410(00)90011‐5
24. Cahill R T Roberts C D Phys. Rev. D 1985 322419. doi: 10.1103/PhysRevD.32.2419
25. Gell-Mann M Oakes R J Renner B Phys. Rev. 1968 1752195. doi: 10.1103/PhysRev.175.2195
26. Kisslinger L S Harry M A Linsuain D Phys. Rev. C 1999 60065204-1. doi: 10.1103/PhysRevC.60.065204
27. Gasser J Leutwyler H Ann. Phys. 1984 158142. doi: 10.1016/0003‐4916(84)90242‐2
28. Gasser J Leutwyler H Nucl. Phys. B 1985 250465. doi: 10.1016/0550‐3213(85)90492‐4
29. Gasser J Lect, Notes Phys. 2004 6291. doi: null
30. Weinberg S Trans. NY Acad. Sci. 1977 38185. doi: null
31. Morte Michele Della Hoffman Roland Knechtli Francesco et al.DESY 05-124, HU-EP 05/31, DFB/ CPP -05-32. doi: null
32. Shifman M A Vainshtein A I Zakharov V I Nucl. Phy. B 1979 147385. doi: 10.1016/0550‐3213(79)90022‐1
33. Narison S Spectral QCD sum RuleSingaporeWorld Scienc 1998 . doi: null
34. Polyakov M V Weiss C Phys. Letts. B 1996 387841. doi: 10.1016/0370‐2693(96)01098‐2
35. Bentez M A Barnett R M Caso C Particle Data Group, Particle Propertis Data Booklet, April 1990,from: Review of particle Propeerties Phys. Letts.B April 1990 239. doi: null
36. Zhou L J Ma W X Commun. Theor. Phys. 2006 45(6)1085. doi: null
37. Jamin M Oller J A Pich A Eur. Phys. J., C 2002 24237. doi: 10.1007/s100520200930