Kinetics of hydrodynamic pions in chiral perturbation theory
arXiv:2201.10495 · doi:10.1103/PhysRevD.106.056012
Abstract
We determine the kinetic coefficients of ultrasoft pions using chiral perturbation theory at finite temperature close to the chiral limit. This is used to compute the axial charge diffusion and damping coefficients in the hydrodynamic effective theory for these pion waves. We show that to provide a leading order answer for these coefficients one needs to explore the dynamics of hard, soft, and ultrasoft pion modes, which are represented microscopically by the appropriate kinetic and hydrodynamic descriptions..
arXiv comment30.5 pages, 7 figures. Generalization to arbitrary number of flavors, by considering pion-pion scattering in SU(N) instead of SU(2). Explanations and extra references added. Accepted for publication in Physical Review D journal
References in corpus (24)
- Collective flow and viscosity in relativistic heavy-ion collisions
- The QCD transition temperature: results with physical masses in the continuum limit
- Lectures on hydrodynamic fluctuations in relativistic theories
- Basics of thermal field theory -- a tutorial on perturbative computations
- Chiral phase transition temperature in (2+1)-Flavor QCD
- O(g) plasma effects in jet quenching
- Next-to-leading order thermal photon production in a weakly coupled quark-gluon plasma
- Transport coefficients and resonances for a meson gas in Chiral Perturbation Theory
- Pion Propagation near the QCD Chiral Phase Transition
- The electrical conductivity of a pion gas
- Physics of Thermal QCD
- Real-time pion propagation in finite-temperature QCD
- The Viscosity of Meson Matter
- Pion Dynamics at Finite Temperature
- The Bulk Viscosity of a Pion Gas
- Bulk viscosity of low-temperature strongly interacting matter
- Transport and hydrodynamics in the chiral limit
- Analyticity, Crossing Symmetry and the Limits of Chiral Perturbation Theory
- Hydrodynamics of nuclear matter in the chiral limit
- Parton energy loss and momentum broadening at NLO in high temperature QCD plasmas
- Damping of Pseudo-Goldstone Fields
- Global fluid fits to identified particle transverse momentum spectra from heavy-ion collisions at the Large Hadron Collider
- Scattering of soft, cool pions
- Hard Thermal Loops and Chiral Lagrangians