Rho parameters from odd and even chirality, thermal QCD sum rules

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 61, Issue 11, 2000, Pages

  Mallik, S ^a   Mukherjee, Krishnendu ^a  

^a SAHA INSTITUTE OF NUCLEAR PHYSICS   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17044375447     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.61.116007     Document Type: Article

References (36)

1. M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B147, 385 (1979)
2. 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).
3. A. I. Bochkarev and M. E. Shaposhnikov, Nucl. Phys. B268, 220 (1986).
4. T. Hatsuda, Y. Koike, and S. H. Lee, Nucl. Phys. B394, 221 (1993). The earlier papers may be traced from this one.
5. V. L. Eletsky and B. L. Ioffe, Phys. Rev. D 51, 2371 (1995).
6. S. Mallik and K. Mukherjee, Phys. Rev. D 58, 096011 (1998).
7. S. Mallik, Nucl. Phys. B206, 90 (1982).
8. One might think of considering also the correlation function of two tensor currents. But the corresponding sum rules bring in the (Formula presented) resonance also.
9. E. V. Shuryak, Rev. Mod. Phys. 65, 1 (1993).
10. H. A. Weldon, Phys. Rev. D 26, 1394 (1982).
11. X. Jin, T. D. Cohen, R. J. Furnstahl, and D. K. Griegel, Phys. Rev. C 47, 2882 (1993).
12. H. Fritzsch and H. Leutwyler, Phys. Rev. D 10, 1624 (1974).
13. W. Hubschmid and S. Mallik, Nucl. Phys. B207, 29 (1982).
14. S. Mallik, Phys. Lett. B 416, 373 (1998).
15. See, for example, M.E. Peskin and D.V. Schroeder, An Introduction to Quantum Field Theory (Addison-Wesley, Reading, MA, 1995).
16. L. D. Landau, Zh. Éksp. Teor. Fiz. 34, 261; (1958) [Sov. Phys. JETP 7, 182 (1958)];reproduced in Collected Works of L. D. Landau, edited by D. Ter Haar (Pergamon, New York, 1965);see also A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York, 1971).
17. F. E. Low, Phys. Rev. 97, 1392 (1955).
18. Particle Data Group, R. M. Barnett, Phys. Rev. D 54, 1 (1996).
19. H. Leutwyler, Nucl. Phys. B76, 413 (1974).
20. A. J. Niemi and G. W. Semenoff, Ann. Phys. (N.Y.) 152, 105 (1984)
21. see also N. P. Landsman and Ch. G. van Weert, Phys. Rep. 145, 141 (1987).
22. H. Leutwyler, Phys. Rev. D 49, 3033 (1994)
23. Phys. Rev. DR. D. Pisarski and M. Tytgat, 54, 2989 (1996)
24. Phys. Rev. DD. Toublan, 56, 5629 (1997).
25. M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev. 175, 2195 (1968).
26. The other scalar piece in (Formula presented) does not contribute to order (Formula presented).
27. J. Gasser and H. Leutwyler, Phys. Lett. B 184, 83 (1987)
28. P. Gerber and H. Leutwyler, Nucl. Phys. B321, 387 (1989).
29. V. M. Belyaev and B. L. Ioffe, Zh. Éksp. Teor. Fiz. 84, 1236 (1983) [Sov. Phys. JETP 57, 716 (1983)].
30. A higher value has been suggested for (Formula presented) in S. Narison, QCD Spectral Sum Rules (World Scientific, Singapore, 1989). Again the vacuum saturation value becomes smaller with the present value for (Formula presented). Here we stick to the value originally obtained in 1.
31. J. Bijnens, Phys. Rep. 265, 369 (1996)
32. J. Bijnens, P. Gosdzinsky, and P. Talavera, Nucl. Phys. B501, 495 (1997)
33. G. Ecker, J. Gasser, H. Leutwyler, A. Pich, and E. De Rafael, Phys. Lett. B 223, 425 (1989).
34. H. Leutwyler and A. V. Smilga, Nucl. Phys. B342, 620 (1990).
35. M. Dey, V. L. Eletsky, and B. L. Ioffe, Phys. Lett. B 252, 620 (1990).
36. V. L. Eletsky and B. L. Ioffe, Phys. Rev. D 47, 3083 (1993).