Nonabelian Debye screening, tsunami waves, and worldline fermions
Abstract
Description
I give a pedagogical review of the derivation for the effective lagrangian for nonabelian Debye screening, or hard thermal loops. Following Kelly, Liu, Lucchesi, and Manuel, I give the simplest derivation possible, using classical kinetic theory.
The result is valid not just for a thermal, but for an arbitrary initial distributions. I use this to study the evolution, at short times, of a gluonic ``tsunami wave''.
I also suggest how classical kinetic theory may arise at one loop order. Using the wordline representation of the one loop effective action, I follow D'Hoker and Gagné to replace the Wilson line by an integral over worldline fermions. A bilinear of these worldline fermions naturally defines a nonabelian charge, whose equation of motion is Wong's equation.
16 pages, LaTeX, requires crckapb.sty. To appear in the proceedings of the International School of Astrophysics ``D. Chalonge'', Erice, Italy, Sept. 4-15, 1997; also based on a talk given at the RIKEN BNL Workshop on ``Non-equilibrium many body dynamics'', Upton, N.Y., Sept. 23-25, 1997
16 pages, LaTeX, requires crckapb.sty. To appear in the proceedings of the International School of Astrophysics ``D. Chalonge'', Erice, Italy, Sept. 4-15, 1997; also based on a talk given at the RIKEN BNL Workshop on ``Non-equilibrium many body dynamics'', Upton, N.Y., Sept. 23-25, 1997