Thermal modifications of mesons, and restoration of broken symmetries from spatial correlation functions with HISQ action

D mesons as a probe of Casimir effect for chiral symmetry breaking

“…When we focus on δ = 2, γ = 4N c for light quarks, and γ = 2N c for strange quarks, this form is equivalent to Eq. (15). As seen in Eq.…”

“…The pole masses of D mesons in small volume at low temperature can be extracted from the temporal correlators of the D meson currents. At higher temperature, the extraction of the pole masses would be difficult because of the short Length L [fm] Length L [fm] distance of the temporal correlators, but these can be related to other observables such as the screening masses from the spatial correlators [14,15] and spectral functions [16]. To investigate screening masses and spectral functions within mean-field models will also be interesting.…”

“…Note thatΩ Cas,q(s) (L) is independent of temperature, and all the temperature effects are included only in the third and fourth terms of Eq. (15). 5 For the antiperiodic boundary condition, the Casimir energy for massive quarks is given by 6…”

“…Thanks to this point, heavy-light meson chiral partners at chiralrestored environments could be a more visible probe than light-hadron partners. 2 Recent lattice QCD simulations at finite temperature showed the thermal behaviors of D and D s meson masses through the screening masses [14,15] and the peak positions on the spectral functions [16]. One of the open questions is whether the pseudoscalar D meson mass increases or decreases as the chiral symmetry is partially restored.…”