Power corrections to the HTL effective Lagrangian of QED

Abstract

We present compact expressions for the power corrections to the hard thermal loop (HTL) Lagrangian of QED in $d$ space dimensions. These are corrections of order $(L/T{)}^2$, valid for momenta $L\ll T$, where $T$ is the temperature. In the limit $d\to 3$ we achieve a consistent regularization of both infrared and ultraviolet divergences, which respects the gauge symmetry of the theory. Dimensional regularization also allows us to witness subtle cancellations of infrared divergences. We also discuss how to generalise our results in the presence of a chemical potential, so as to obtain the power corrections to the hard dense loop (HDL) Lagrangian.

12 pages, no figures

References in corpus (4)

• Chiral Perturbation Theory Beyond One Loop
• Chiral transport equation from the quantum Dirac Hamiltonian and the on-shell effective field theory
• Real-time propagators at finite temperature and chemical potential
• The fermion mass at next-to-leading order in the HTL effective theory

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