2001/02/06 by Raju Venugopalan, R. Venugopalan, J. Wirstam
Engineering · Physics and Astronomy · #Black Holes and Theoretical Physics #Electromagnetic Simulation and Numerical Methods #High-Energy Particle Collisions Research #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevd.63.125022
published as Phys.Rev. D63 (2001) 125022 · 23 pages
arxiv created 2001/02/06 · openalex publication_date 2001/05/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We derive the hard thermal loop action for soft electromagnetic fields in the finite temperature world-line formulation at imaginary time by first integrating out the hard fermion modes from the microscopic QED action. Further, using the finite T world-line method, we calculate all static higher order terms in the soft electromagnetic field. At high T, the leading non-linear terms are independent of the temperature and, except for a term quartic in the time component of the vector potential, they cancel exactly against the vacuum contribution. The remaining T-dependent non-linear terms become more strongly suppressed by the temperature as the number of soft fields increases, thus making the expansion reliable.