Sphalerons, spectral flow, and anomalies

DOI10.1063/1.1590420zbMath1062.81149arXivhep-th/0304167OpenAlexW2053519312MaRDI QIDQ4833080

F. R. Klinkhamer, Christian W. Rupp

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0304167

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Anomalies in quantum field theory (81T50) Spectral flows (58J30)

Related Items (8)

COSMIC STRINGS STABILIZED BY FERMION FLUCTUATIONS ⋮ A sphaleron for the non-Abelian anomaly ⋮ Quantum stabilization of a hedgehog type of cosmic string ⋮ Quantum energies of strings in a \((2+1)\)-dimensional gauge theory ⋮ Quantum stabilization of cosmic strings ⋮ Vacuum energies of non-abelian string-configurations in \(3+1\) dimensions ⋮ Dynamical simulations of electroweak baryogenesis with fermions ⋮ Winding vectors of topological defects: multiband Chern numbers

Cites Work

• Another look at the \(\mathrm{SU}(2)\) anomaly
• The principle of symmetric criticality
• Hamiltonian interpretation of anomalies
• Min-max theory for the Yang-Mills-Higgs equations
• A global anomaly from the \(Z\)-string
• Fermion zero-modes of a new constrained instanton in Yang-Mills-Higgs theory
• \(Z\)-string global gauge anomaly and Lorentz non-invariance.
• Anomalous violation of conservation laws in Minkowksi space
• CPT anomaly: A rigorous result in four dimensions
• Existence of a new instanton in constrained Yang-Mills-Higgs theory.
• The index of elliptic operators. I
• A non-linear field theory
• Quantal phase factors accompanying adiabatic changes
• Spectral asymmetry and Riemannian geometry. II
• On Witten's global anomaly for higher SU(2) representations
• A CPT anomaly

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