Pair Production in Non-Perturbative QCD

Abstract

In this paper, a method to calculate the vacuum to vacuum transition amplitude in the presence of a non-abelian background field is introduced. The number of non-perturbative quark-antiquark produced per unit time, per unit volume and per unit transverse momentum from a given constant chromo-electric field is calculated and its application to quark-gluon plasma is presented.

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Hamieh, S. (2014) Pair Production in Non-Perturbative QCD. Journal of Modern Physics, 5, 402-406. doi: 10.4236/jmp.2014.56052.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Collins, J.C. and Perry, M.J. (1975) Physical Review Letters, 34, 1353. http://dx.doi.org/10.1103/PhysRevLett.34.1353
[2] Karsch, F., Laermann, E. and Peikert, A. (2000) Physics Letters B, 478, 447-455.
http://dx.doi.org/10.1016/S0370-2693(00)00292-6
[3] Hamieh, S., Letessier, J. and Rafelski, J. (2003) Physical Review A, 67, Article ID: 014301.
http://dx.doi.org/10.1103/PhysRevA.67.014301
[4] Hamieh, S., Redlich, K. and Tounsi, A. (2004) Journal of Physics G, 30, 481,
http://dx.doi.org/10.1088/0954-3899/30/4/007
[5] Baym, G. (1984) Physics Letters B, 138, 18-22. http://dx.doi.org/10.1016/0370-2693(84)91863-X
[6] Kajantie, K. and Matsui, T. (1985) Physics Letters B, 164, 373-378. http://dx.doi.org/10.1016/0370-2693(85)90343-0
[7] Eskola, K.J. and Gyulassy, M. (1993) Physical Review C, 47, 2329. http://dx.doi.org/10.1103/PhysRevC.47.2329
[8] Nayak, G.C. and Ravishankar, V. (1997) Physical Review D, 55, 6877. http://dx.doi.org/10.1103/PhysRevD.55.6877
[9] Nayak, G.C. and Ravishankar, V. (1998) Physical Review C, 58, 356. http://dx.doi.org/10.1103/PhysRevC.58.356
[10] Bhalerao, R.S. and Nayak, G.C. (2000) Physical Review C, 61, Article ID: 054907.
http://dx.doi.org/10.1103/PhysRevC.61.054907
[11] Kluger, Y., Eisenberg, J.M., Svetitsky, B., Cooper, F. and Mottola, E. (1991) Physical Review Letters, 67, 2427;
http://dx.doi.org/10.1103/PhysRevLett.67.2427
[12] Kluger, Y., Eisenberg, J.M., Svetitsky, B., Cooper, F. and Mottola, E. (1992) Physical Review D, 45, 4659. http://dx.doi.org/10.1103/PhysRevD.45.4659
[13] Kharzeev, D. and Tuchin, K. hep-ph/0501234.
[14] McLerran, L. and Venugopalan, R. (1994) Physical Review D, 50, 2225. http://dx.doi.org/10.1103/PhysRevD.50.2225
[15] Dietrich, D.D., Nayak, G.C. and Greiner, W. (2001) Physical Review D, 64, Article ID: 074006.
http://dx.doi.org/10.1103/PhysRevD.64.074006
[16] Gyulassy, M. and McLerran, L. (1997) Physical Review C, 56, 2219. http://dx.doi.org/10.1103/PhysRevC.56.2219
[17] Dietrich, D.D. Physical Review D, 7.
[18] Nayak, G.C. and Van Nieuwenhuizen, P. (2005) Physical Review D, 72, 125010.
http://dx.doi.org/10.1103/PhysRevD.72.125010
[19] Schwinger, J. (1951) Physical Review, 82, 664. http://dx.doi.org/10.1103/PhysRev.82.664
[20] Claudson, M., Yildiz, A. and Cox, P.H. (1980) Physical Review D, 22, 2022.
http://dx.doi.org/10.1103/PhysRevD.22.2022
[21] Casher, A., Neuberger, H. and Nussinov, S. (1979) Physical Review D, 20, 179.
http://dx.doi.org/10.1103/PhysRevD.20.179
[22] Glendenning, N.K. and Matsui, T. (1983) Physical Review D, 28, 2890. http://dx.doi.org/10.1103/PhysRevD.28.2890
[23] Dunne, G.V. (2004) Heisenberg-Euler Effective Lagrangians: Basics and Extensions, hep-th/0406216. In: Shifman, M., et al., Eds., From Fields to Strings, Vol. 1, 445-522.
[24] Cooper, F., Dawson, J.F. and Mihaila, B. (2008) Physical Review D, 78, 117901.
http://dx.doi.org/10.1103/PhysRevD.78.117901
[25] Aurenche, P. and Zakharov, B.G. arXiv:1205.6462 [hep-ph].
[26] work in progress.

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