2013/08/31 by Yuhei Miyamoto, Hayato Motohashi, Teruaki Suyama +1 · 1 citation
Physics and Astronomy · #hep-ph #astro-ph.CO #hep-th
paper · pdf · doi:10.1103/physrevd.89.085037
published as Phys. Rev. D 89, 085037 (2014) · 23 pages, 4 figures
arxiv created 2013/10/29 · arxiv updated 2014/04/30
We study the dynamics of the oscillating gauged scalar field in a thermal bath. A Langevin type equation of motion of the scalar field, which contains both dissipation and fluctuation terms, is derived by using the real-time finite temperature effective action approach. The existence of the quantum fluctuation-dissipation relation between the non-local dissipation term and the Gaussian stochastic noise terms is verified. We find the noise variables are anti-correlated at equal-time. The dissipation rate for the each mode is also studied, which turns out to depend on the wavenumber.