NLO quark self-energy and dispersion relation using the hard thermal loop resummation
arXiv:2201.07173 · doi:10.1007/JHEP05(2023)171
Abstract
Using the hard-thermal-loop (HTL) resummation in real-time formalism, we study the next-to-leading order (NLO) quark self-energy and corresponding NLO dispersion laws. In NLO, we have replaced all the propagators and vertices with the HTL-effective ones in the usual quark self-energy diagram. Additionally, a four-point vertex diagram also contributes to the quark NLO self-energy. We calculate the usual quark self-energy diagram and the four-point vertex diagram separately. Using those, we express the NLO quark self-energy in terms of the three- and four-point HTL-effective vertex functions. Using the Feynman parametrization, we express the integrals containing the three- and four-point HTL effective vertex functions in terms of the solid angles. After completing the solid angle integrals, we numerically calculate the momentum integrals in the NLO quark self-energy and plot them as a function of the ratio of momentum and energy. Using the NLO quark self-energy, we plot the NLO correction to dispersion laws.
arXiv comment35 pages, 19 figures
References in corpus (29)
- JaxoDraw: A graphical user interface for drawing Feynman diagrams
- Three-loop HTLpt thermodynamics at finite temperature and chemical potential
- The Nonabelian Debye Mass at Next-to-Leading Order
- Three-loop HTL QCD thermodynamics
- Three-loop HTLpt Pressure and Susceptibilities at Finite Temperature and Density
- NNLO hard-thermal-loop thermodynamics for QCD
- Two-loop HTL pressure at finite temperature and chemical potential
- Gluon Plasma Frequency -- the Next-to-Leading Order Term
- Quark Number Susceptibilities from Two-Loop Hard Thermal Loop Perturbation Theory
- Comment on ``Damping of energetic gluons and quarks in high-temperature QCD''
- The fermion mass at next-to-leading order in the HTL effective theory
- The HTL Lagrangian at NLO: the photon case
- Real time statistical field theory
- Refractive Index of Light in the Quark-Gluon Plasma with the Hard-Thermal-Loop Perturbation Theory
- A potential infrared problem with the damping rates for gluons with soft momentum in hot QCD
- The Quark Number Susceptibility in Hard-Thermal-Loop Approximation
- Soft photon propagation in a hot and dense medium to next-to-leading order
- Degenerate fermionic matter at NLO: Quantum Electrodynamics
- Damping of very soft moving quarks in high-temperature QCD
- An infrared singularity in the damping rate for longitudinal gluons in hot QCD
- Can Van Hove singularities be observed in relativistic heavy-ion collisions ?
- The soft fermion dispersion relation at next-to-leading order in hot QED
- Thermal field theory at next-to-leading order in the hard thermal loop expansion
- Infrared Behavior of High-Temperature QCD
- Photon Damping in One-Loop HTL Perturbation Theory
- Infrared behavior of the dispersion relations in high-temperature scalar QED
- Real-time hard-thermal-loop gluon self-energy in a semiquark-gluon plasma
- Ultrasoft Quark Damping in Hot QCD
- NLO Dispersion Laws for Slow-Moving Quarks in HTL QCD