Chiral symmetry in matter
Michael C. Birse
Abstract
Soft-pion theorems are used to show how chiral symmetry constrains the contributions of low-momentum pions to the quark condensate, the pion decay constant and hadron masses, all of which have been proposed as signals of partial restoration of chiral symmetry in matter. These have contributions of order T2 for a pion gas or of order mpi for cold nuclear matter, which have different coefficients in all three cases, showing that there are no simple relations between the changes to these quantities in matter. In particular, such contributions are absent from the masses of vector mesons and nucleons and so these masses cannot scale as any simple function of the quark condensate. More generally, pieces of the quark condensate that arise from low-momentum pions should not be associated with partial restoration of chiral symmetry.
Create a lesson
Related papers
Density-driven α-particle clustering in neutron-rich oxygen isotopes
M. Davies, E. Yüksel, J. -P. Ebran et al.
Multi-phonon wobbling excitations as a probe for dynamical quasiparticle alignment
R. Budaca, A. I. Budaca
Interacting Boson System at Finite Temperatures: The treatment of the lattice QCD results
D. Anchishkin, V. Gnatovskyy, D. Zhuravel et al.
Spurious center-of-mass mode as an S-matrix pole within the Jost-random-phase approximation
Kazuhito Mizuyama
Quantum computing for high energy nuclear physics
João Barata
Elliptic and triangular flow responses in O+O and Ne+Ne collisions from hydrodynamics and kinetic theory
Victor E. Ambrus, Giuliano Giacalone, Clemens Werthmann et al.