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Title: Kinetics of hydrodynamic pions in chiral perturbation theory

Journal Article · · Physical Review D

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.

Research Organization:
Florida State Univ., Tallahassee, FL (United States); Stony Brook Univ., NY (United States); Stony Brook Univ., NY (United States). Research Foundation For The State University Of New York, The
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP); German Research Foundation (DFG)
Grant/Contract Number:
FG-02-08ER41450; FG02-06ER41450; 411563442; 315477589-TRR 211; FG02-88ER40388
OSTI ID:
1887604
Alternate ID(s):
OSTI ID: 1980180; OSTI ID: 2280802
Journal Information:
Physical Review D, Journal Name: Physical Review D Vol. 106 Journal Issue: 5; ISSN 2470-0010
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (32)

Pion dynamics at finite temperature journal November 1997
Chiral Phase Transition Temperature in ( 2 + 1 )-Flavor QCD journal August 2019
Electrical conductivity of a pion gas journal February 2006
Light quarks at low temperatures journal January 1987
Bulk viscosity of low-temperature strongly interacting matter journal August 2011
Hadrons below the chiral phase transition journal July 1989
Hydrodynamics of Nuclear Matter in the Chiral Limit journal April 2000
Global fluid fits to identified particle transverse momentum spectra from heavy-ion collisions at the Large Hadron Collider journal June 2020
Collective Flow and Viscosity in Relativistic Heavy-Ion Collisions journal October 2013
Introduction to hydrodynamics journal October 2015
Pion Scattering Lengths journal September 1966
Transport coefficients and resonances for a meson gas in chiral perturbation theory journal March 2009
Pion propagation at finite temperature journal June 1993
Scattering of Soft, Cool Pions journal May 1997
O ( g ) plasma effects in jet quenching journal March 2009
Hard thermal loops and chiral Lagrangians journal March 1998
Bulk viscosity of a pion gas journal April 2011
Soft pions and transport near the chiral critical point journal August 2021
Damping of Pseudo-Goldstone Fields journal April 2022
On the mean free path of pions in hot matter journal September 1989
Physics of thermal QCD journal December 1997
Viscosity of meson matter journal June 2004
Lectures on hydrodynamic fluctuations in relativistic theories journal November 2012
Parton energy loss and momentum broadening at NLO in high temperature QCD plasmas journal November 2015
Chiral perturbation theory to one loop journal November 1984
Pion Propagation near the QCD Chiral Phase Transition journal May 2002
Transport and hydrodynamics in the chiral limit journal July 2020
Basics of Thermal Field Theory: A Tutorial on Perturbative Computations book January 2016
Analyticity, crossing symmetry, and the limits of chiral perturbation theory journal April 1993
The QCD transition temperature: Results with physical masses in the continuum limit journal November 2006
Real-time pion propagation in finite-temperature QCD journal October 2002
Next-to-leading order thermal photon production in a weakly coupled quark-gluon plasma journal May 2013