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PreprintCC BY 4.0arXiv

Possible Microscopic source of torsion

Abstract

Axial fermionic interactions connect vacuum condensation with torsionful back- grounds. We consider a quartic spin spin interaction whose mean field reduction yields a quadratic fermionic Hamiltonian. Its diagonalisation defines a particle and antiparticle condensate, while self consistency determines whether the vacuum devel- ops a non zero axial current. Cutoff, fluctuation and energy conditions delimit the validity of the approximation. When torsion couples to spin, this axial expectation value can provide a microscopic source for an axial torsion background. We then consider mixed Dirac fields on such a background. In the explicit neutrino analysis, metric curvature is neglected while torsion modifies the flavour Bogoliubov coeffi- cients, producing spin dependent oscillation frequencies, condensate densities and CP asymmetries.

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BibTeX
@misc{capolupo2026possible,
  title = {{Possible Microscopic source of torsion}},
  author = {A. Capolupo and S. Monda and G. Pisacane and A. Quaranta and R. Serao},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.28125},
  eprint = {2610.28125},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.28125},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Possible Microscopic source of torsion
AU  - A. Capolupo
AU  - S. Monda
AU  - G. Pisacane
AU  - A. Quaranta
AU  - R. Serao
PY  - 2026
DA  - 2026/10/22
PB  - arXiv
DO  - 10.48550/arxiv.2610.28125
UR  - https://arxiv.org/abs/2610.28125
AB  - Axial fermionic interactions connect vacuum condensation with torsionful back- grounds. We consider a quartic spin spin interaction whose mean field reduction yields a quadratic fermionic Hamiltonian. Its diagonalisation defines a particle and antiparticle condensate, while self consistency determines whether the vacuum devel- ops a non zero axial current. Cutoff, fluctuation and energy conditions delimit the validity of the approximation. When torsion couples to spin, this axial expectation value can provide a microscopic source for an axial torsion background. We then consider mixed Dirac fields on such a background. In the explicit neutrino analysis, metric curvature is neglected while torsion modifies the flavour Bogoliubov coeffi- cients, producing spin dependent oscillation frequencies, condensate densities and CP asymmetries.
ER  -