Thermal QCD sum rules for mesons

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 66, Issue 5, 2002, Pages

  Sarkar, Sourav ^b  

^a SAHA INSTITUTE OF NUCLEAR PHYSICS   (India)

^b VARIABLE ENERGY CYCLOTRON CENTRE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ELEMENTARY PARTICLE; KINEMATICS; LOW TEMPERATURE; QUANTUM MECHANICS; SPECTROSCOPY; THERMAL ANALYSIS; VACUUM;

EID: 17044458956     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.66.056008     Document Type: Article

References (23)

1. M.A. Shifman, A.I. Vainshtein, and V.I. Zakharov, Nucl. Phys. B147, 385 (1979).For a collection of original papers and comments, see Vacuum Structure and QCD Sum Rules, edited by M. A. Shifman (North-Holland, Amsterdam, 1992).See also S. Narison, QCD Spectral Sum Rules (World Scientific, Singapore, 1989).
2. A.I. Bochkarev and M.E. Shaposhnikov, Nucl. Phys. B268, 220 (1986).
3. T. Hatsuda, Y. Koike, and S.H. Lee, Nucl. Phys. B394, 221 (1993). The earlier papers may be traced from this one.
4. S. Mallik and K. Mukherjee, Phys. Rev. D 58, 096011 (1998);
5. Phys. Rev. DS. MallikK. Mukherjee61, 116007 (2000).
6. H. Leutwyler and A.V. Smilga, Nucl. Phys. B342, 302 (1990).
7. Y. Koike, Phys. Rev. D 48, 2313 (1993).
8. S. Mallik and S. Sarkar, Phys. Rev. D 65, 016002 (2002).
9. J. Gasser and H. Leutwyler, Ann. Phys. (N.Y.) 158, 142 (1984);
10. J. GasserH. LeutwylerNucl. Phys. B250, 465 (1985).
11. S. Weinberg, The Quantum Theory of Fields (Cambridge University Press, Cambridge, England, 1996), Vol. II.
12. M. Bando, T. Kugo, and K. Yamawaki, Phys. Rep. 164, 217 (1988).
13. U.-G. Meissner, Phys. Rep. 161, 213 (1988).
14. N.P. Landsmann and Ch.G. van Weert, Phys. Rep. 145, 141 (1987);
15. see also S. Sarkar, B.K. Patra, V.J. Menon, and S. Mallik, hep-th/0010062.
16. G. Ecker, J. Gasser, A. Pich, and E. de Rafael, Nucl. Phys. B321, 311 (1989).
17. G. Ecker, J. Gasser, H. Leutwyler, A. Pich, and E. de Rafael, Phys. Lett. B 223, 425 (1989).
18. S. Mallik and S. Sarkar, hep-ph/0203022.
19. Particle Data Group, D.E. Groom, Eur. Phys. J. C 15, 1 (2000).
20. There is a three-gluon operator but it does not contribute to the operator product expansion for any of the correlation functions of operators built out of quark bilinears. See W. Hubschmid and S. Mallik, Nucl. Phys. 207, 29 (1982).
21. The sum rules may be improved by incorporating the contribution of the continuum from a certain threshold onwards by estimating the spectral function there from the leading operator in the operator product expansion. Also, the four-quark vacuum matrix element may be reduced to (Formula presented) by the assumption of vacuum dominance. But our point in this paper is already made on the basis of the results [Eq. (4.3)] without this improvement of the spectral side and the reduction of the operator matrix element.
22. S. Weinberg, Phys. Rev. Lett. 18, 507 (1967);
23. C. Bernard, A. Duncan, J. LoSecco, and S. Weinberg, Phys. Rev. D 12, 792 (1975). See also Ref. 9.