Mass corrections to the hard thermal/dense loops

Abstract

We compute corrections to the hard thermal (or dense) loop photon polarization tensor associated to a small mass $m$ of the fermions of an electromagnetic plasma at high temperature $T$ (or chemical potential $\mu$). To this aim we use the on-shell effective field theory, amended with mass corrections. We also carry out the computation using transport theory, reaching to the same result. Interemediate steps in the computations reveal the presence of potential infrared divergencies. We use dimensional regularization, as it is respectful with the gauge symmetry, and then show that all infrared divergencies cancel in the final result. We compare the mass corrections with both the power and two-loop corrections, and claim that they are equally important if the mass is soft, that is, of order $eT$ (or $e\mu$), where $e$ is the gauge coupling constant, but are dominat if the mass obeys $eT<m\ll T$ (or $e\mu <m\ll \mu )$.

arXiv comment16 pages, 1 figure

References in corpus (14)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Summing Sudakov logarithms in B -> X_s + gamma in effective field theory
• An effective field theory of QCD at high density
• Perturbative Thermal QCD: Formalism and Applications
• Chiral transport equation from the quantum Dirac Hamiltonian and the on-shell effective field theory
• Comment on Quark Masses in SCET
• Consistent Relativistic Chiral Kinetic Theory: a derivation from OSEFT
• Chiral kinetic theory from the on-shell effective theory: derivation of collision terms
• Power corrections to the HTL effective Lagrangian of QED
• The on-shell effective field theory: a systematic tool to compute power corrections to the hard thermal loops
• Quark mass effects in the soft-collinear effective theory and B -> X_s + photon in the endpoint region
• The HTL Lagrangian at NLO: the photon case
• Chiral kinetic theory with small mass corrections and quantum coherent states
• OSEFT or how to go beyond hard thermal loops

Cited by in corpus (2)

• Power corrections to the photon polarization tensor in a hot and dense medium of massive fermions
• Accounting for plasma constituent mass effects in heavy fermion energy loss calculations in hot QED and QCD