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.
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)
https://doi.org/10.1103/PhysRevLett.72.3461
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)
https://doi.org/10.1103/PhysRevD.50.4209
6
D. Bödeker, Effective dynamics of soft non-Abelian gauge fields at finite temperature, Phys. Lett. B 426(3– 4), 351 (1998)
J. F. Dawson, B. Mihaila, and F. Cooper, Fermion particle production in semiclassical Boltzmann-Vlasov transport theory, Phys. Rev. D 80(1), 014011 (2009)
https://doi.org/10.1103/PhysRevD.80.014011
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)
https://doi.org/10.1103/PhysRevD.80.014010
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)
https://doi.org/10.1016/j.physletb.2013.09.014
14
N. Abdukerim, Z. L. Li, and B. S. Xie, Electronpositron pair production in the low-density approximation, Front. Phys. 10(4), 101202 (2015)
https://doi.org/10.1007/s11467-015-0471-3
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)
https://doi.org/10.1007/s11467-014-0455-8
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)
https://doi.org/10.1007/s11467-013-0379-8
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)
https://doi.org/10.1103/PhysRevD.89.093011
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)
https://doi.org/10.1209/0295-5075/110/51001
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)
https://doi.org/10.1103/PhysRevD.92.085001
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)
https://doi.org/10.1103/PhysRevD.71.125001
21
G. C. Nayak, Nonperturbative quark-antiquark production from a constant chromoelectric field via the Schwinger mechanism, Phys. Rev. D 72(12), 125010 (2005)
https://doi.org/10.1103/PhysRevD.72.125010
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)
https://doi.org/10.1103/PhysRevD.81.054026
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)
https://doi.org/10.1103/PhysRevD.78.117901
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)
https://doi.org/10.1103/PhysRevD.78.054004
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)
https://doi.org/10.1007/BF02892134
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)
https://doi.org/10.1103/PhysRevD.78.025011