Dynamical chiral symmetry breaking in rotating QED${}_3$: critical flavor number and the occupation-reweighting channel

Abstract

We study dynamical chiral symmetry breaking in $(2+1)$-dimensional QED on a rigidly rotating disc, $\Omega R<1$, within the rainbow Schwinger--Dyson framework. At zero temperature the rotation response of the condensate vanishes identically, so $N_c^{\mathrm{SD}}(\Omega ,T=0)=N_c^{\mathrm{SD}}(0)=2.60\pm 0.01$ (using three operational definitions). At finite temperature, rotation suppresses the condensate through a dominant occupation-reweighting channel, ${\hat{\kappa }}_{\mathrm{occ}}=-1.55$, accounting for $\ge 99.995\%$ of the linearized total response at the reference parameters, with self-consistent feedback amplifying it by $26.5$. The screening channel is reported at fixed regularization, ${\hat{\kappa }}_{\mathrm{scr}}(\epsilon =0.01)=-0.97$; its $\epsilon \to 0$ behavior is logarithmically divergent. The crossover flavor $N^{\ast }(\Omega )$ falls monotonically at fixed temperature (a corollary). The critical flavor number is unchanged by rotation at $T=0$ (theorem). Together these results set the finite-temperature reference for the model.

arXiv comment28 pages, 4 figures