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PreprintCC BY-NC-ND 4.0arXiv

Dynamical chiral symmetry breaking in rotating QED3: critical flavor number and the occupation-reweighting channel

  • Wei Li
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Abstract

We study dynamical chiral symmetry breaking in (2+1)-dimensional QED on a rigidly rotating disc, ΩR<1, within the rainbow Schwinger--Dyson framework. At zero temperature the rotation response of the condensate vanishes identically, so NcSD(Ω,T=0)=NcSD(0)=2.60±0.01 (using three operational definitions). At finite temperature, rotation suppresses the condensate through a dominant occupation-reweighting channel, κ̂occ=−1.55, accounting for ≥ 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, κ̂scr(ε = 0.01)=−0.97; its ε → 0 behavior is logarithmically divergent. The crossover flavor N*(Ω) 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.

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Cite

BibTeXRIS
BibTeX
@misc{li2026dynamical,
  title = {{Dynamical chiral symmetry breaking in rotating QED$_3$: critical flavor number and the occupation-reweighting channel}},
  author = {Wei Li},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.15568},
  eprint = {2610.15568},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.15568},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Dynamical chiral symmetry breaking in rotating QED_3: critical flavor number and the occupation-reweighting channel
AU  - Wei Li
PY  - 2026
DA  - 2026/10/11
PB  - arXiv
DO  - 10.48550/arxiv.2610.15568
UR  - https://arxiv.org/abs/2610.15568
AB  - We study dynamical chiral symmetry breaking in (2+1)-dimensional QED on a rigidly rotating disc, ΩR<1, within the rainbow Schwinger--Dyson framework. At zero temperature the rotation response of the condensate vanishes identically, so N_c^SD(Ω,T=0)=N_c^SD(0)=2.60±0.01 (using three operational definitions). At finite temperature, rotation suppresses the condensate through a dominant occupation-reweighting channel, κ̂_occ=−1.55, accounting for ≥ 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, κ̂_scr(ε = 0.01)=−0.97; its ε → 0 behavior is logarithmically divergent. The crossover flavor N^*(Ω) 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.
ER  -