Baryon Density and the Dilated Chiral Quark Model
Youngman Kim, Hyun Kyu Lee
Abstract
We calculate perturbatively the effect of density on hadronic properties using the chiral quark model implemented by the QCD trace anomaly to see the possibility of constructing Lorentz invariant Lagrangian at finite density. We calculate the density dependent masses of the constituent quark, the scalar field and the pion in one-loop order using the technique of thermo field dynamics. In the chiral limit, the pion remains massless at finite density. It is found that the tadpole type corrections lead to the decreasing masses with increasing baryon density, while the radiative corrections induce Lorentz-symmetry-breaking terms. We found in the large Nc limit with large scalar mass that the tadpoles dominate and the mean-field approximation is reliable, giving rise a Lorentz-invariant Lagrangian with masses decreasing as the baryon density increases.
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.