Nonlinear dynamics of soft fermion excitations in hot QCD plasma I: soft-quark - soft-gluon scattering

摘要

Within the framework of the hard thermal loop effective theory we derive asystem of Boltzmann-like kinetic equations taking into account the simplestprocesses of nonlinear interaction of soft fermionic and bosonic QCD plasmaexcitations: elastic scattering of soft-(anti)quark excitations off soft-gluonand soft-quark excitations, pair production of soft quark-antiquarkexcitations, annihilation into two soft-gluon excitations. The matrix elementsof these processes to leading order in the coupling constant $g$ are obtained.The iterative method of calculation of the matrix elements for the higherprocesses of soft-mode interactions is proposed. The most general expressionfor the emitted radiant power induced by the effective currents and effectivesources in a quark-gluon plasma (QGP) taking into account an existence offermion sector of plasma excitations is defined. The explicit form of thelinearized Boltzmann equation accounting for scattering of color(less)plasminos off color(less) plasmons is written out.