Pair production in strong SU(2) background fields

Abstract

Fermion particle pair production in strong SU(2)-gauge chromoelectric fields is studied using the Boltzmann–Vlasov equation in a classical way. The existence of a preproduction process in a classical description is shown using the distribution evolution of non-Abelian particle production. It is interesting to find that the distribution of the particle number density is centered on two islands and shows a split on the color charge sphere as it evolves, ultimately reaching a steady state that is related to the amplitude and variation of the field.

Keywords

pair production / SU(2)-gauge chromoelectric field / classical and semiclassical technique / Boltzmann–Vlasov equation

References

[1] U. Heinz, Kinetic theory for plasmas with non-Abelian interactions, Phys. Rev. Lett. 51(5), 351 (1983)

[2] U. Heinz, The approach to equilibrium in a quark-gluon plasma, Z. Phys. C 38(1–2), 203 (1988)

[3] U. Heinz, Non-equilibrium dynamics in finitetemperature QCD, Physica A 158(1), 111 (1989)

[4] P. F. Kelly, Q. Liu, C. Lucchesi, and C. Manuel, Deriving the hard thermal loops of QCD from classical transport theory, Phys. Rev. Lett. 72(22), 3461 (1994)

[5] P. F. Kelly, Q. Liu, C. Lucchesi, and C. Manuel, Classical transport theory and hard thermal loops in the quark-gluon plasma, Phys. Rev. D 50(6), 4209 (1994)

[6] D. Bödeker, Effective dynamics of soft non-Abelian gauge fields at finite temperature, Phys. Lett. B 426(3– 4), 351 (1998)

[7] D. Bödeker, From hard thermal loops to Langevin dynamics, Nucl. Phys. B 559(1–2), 502 (1999)

[8] D. Bödeker, Diagrammatic approach to soft non- Abelian dynamics at high temperature, Nucl. Phys. B 566(1–2), 402 (2000)

[9] D. F. Litim and C. Manuel, Semi-classical transport theory for non-Abelian plasmas, Phys. Rep. 364(6), 451 (2002)

[10] J. Shwinger, On gauge invariance and vacuum polarization, Phys. Rev. 82(5), 664 (1951)

[11] J. F. Dawson, B. Mihaila, and F. Cooper, Fermion particle production in semiclassical Boltzmann-Vlasov transport theory, Phys. Rev. D 80(1), 014011 (2009)

[12] B. Mihaila, F. Cooper, and J. F. Dawson, Backreaction and particle production in (3+1)-dimensional QED, Phys. Rev. D 80(1), 014010 (2009)

[13] N. Abdukerim, Z. L. Li, and B. S. Xie, Effects of laser pulse shape and carrier envelope phase on pair production, Phys. Lett. B 726(4–5), 820 (2013)

[14] N. Abdukerim, Z. L. Li, and B. S. Xie, Electronpositron pair production in the low-density approximation, Front. Phys. 10(4), 101202 (2015)

[15] Z. L. Li, D. Lu, and B. S. Xie, Dynamically assisted pair production for scalar QED by two fields, Front. Phys. 10, 101201 (2015)

[16] O. Oluk, B. S. Xie, M. A. Bake, and S. Dulat, Electronpositron pair production in a strong asymmetric laser electric field, Front. Phys. 9(2), 157 (2014)

[17] Z. L. Li, D. Lu, B. S. Xie, L. B. Fu, J. Liu, and B. F. Shen, Enhanced pair production in strong fields by multiple-slit interference effect with dynamically assisted Schwinger mechanism, Phys. Rev. D 89(9), 093011 (2014)

[18] Z. L. Li, D. Lu, B. S. Xie, B. F. Shen, L. B. Fu, and J. Liu, Nonperturbative signatures in pair production for general elliptic polarization fields, Europhys. Lett. 110(5), 51001 (2015)

[19] Z. L. Li, D. Lu, and B. S. Xie, Effects of electric field polarizations on pair production, Phys. Rev. D 92(8), 085001 (2015)

[20] G. C. Nayak and P. van Nieuwenhuizen, Soft-gluon production due to a gluon loop in a constant chromoelectric background field, Phys. Rev. D 71(12), 125001 (2005)

[21] G. C. Nayak, Nonperturbative quark-antiquark production from a constant chromoelectric field via the Schwinger mechanism, Phys. Rev. D 72(12), 125010 (2005)

[22] J. F. Dawson, B.Mihaila, and F. Cooper, Dynamics of particle production by strong electric fields in non- Abelian plasmas, Phys. Rev. D 81(5), 054026 (2010)

[23] F. Cooper, J. F. Dawson, and B. Mihaila, Casimir dependence of transverse distribution of pairs produced from a strong constant chromoelectric background field, Phys. Rev. D 78(11), 117901 (2008)

[24] V. V. Skokov and P. Lévai, Transverse and longitudinal momentum spectra of fermions produced in strong SU(2) fields, Phys. Rev. D 78(5), 054004 (2008)

[25] S. K. Wong, Field and particle equations for the classical Yang-Mills field and particles with isotopic spin, Nuvo. Cimemto. A. 65(4), 689 (1970)

[26] H. Kleinert, R. Ruffini, and S. S. Xue, Electron-positron pair production in space- or time-dependent electric fields, Phys. Rev. D 78(2), 025011 (2008)

RIGHTS & PERMISSIONS

Higher Education Press and Springer-Verlag Berlin Heidelberg