A gauge fixing procedure for causal fermion systems

DOI10.1063/1.5125585zbMath1454.81143arXiv1908.08445OpenAlexW3101859954MaRDI QIDQ5141009

Sebastian Kindermann, Felix Finster

Publication date: 17 December 2020

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

Full work available at URL: https://arxiv.org/abs/1908.08445

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Yang-Mills and other gauge theories in quantum field theory (81T13) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Fermionic systems in quantum theory (81V74)

Related Items

Fermionic Fock spaces and quantum states for causal fermion systems, Linear bosonic quantum field theories arising from causal variational principles, Elliptic methods for solving the linearized field equations of causal variational principles, Modified measures as an effective theory for causal fermion systems, Banach manifold structure and infinite-dimensional analysis for causal fermion systems, The linear dynamics of wave functions in causal fermion systems, Two-dimensional area and matter flux in the theory of causal fermion systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Lorentzian quantum geometry
• The continuum limit of causal fermion systems. From Planck scale structures to macroscopic physics
• Light-cone expansion of the Dirac sea to first order in the external potential
• Perturbation theory for critical points of causal variational principles
• Light-cone expansion of the Dirac sea in the presence of chiral and scalar potentials
• Causal variational principles on measure spaces
• Local U(2,2) symmetry in relativistic quantum mechanics
• Perturbative description of the fermionic projector: Normalization, causality, and Furry's theorem
• Spinors on Singular Spaces and the Topology of Causal Fermion Systems