The continuum limit of causal fermion systems. From Planck scale structures to macroscopic physics

DOI10.1007/978-3-319-42067-7zbMath1353.81001arXiv1605.04742OpenAlexW3104208124MaRDI QIDQ736626

Publication date: 4 August 2016

Published in: Fundamental Theories of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.04742

zbMATH Keywords

continuum limit gauge fields gravitational interactions fermionic projector causal fermion systems neutrinos effective interactions interacting fermions

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Continuum limits in quantum field theory (81T27) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Weak interaction in quantum theory (81V15)

Related Items (37)

A mechanism for dark matter and dark energy in the theory of causal fermion systems ⋮ Fermionic Fock spaces and quantum states for causal fermion systems ⋮ Noether-like theorems for causal variational principles ⋮ Linear bosonic quantum field theories arising from causal variational principles ⋮ Existence of minimizers for causal variational principles on compact subsets of momentum space in the homogeneous setting ⋮ The fermionic signature operator and quantum states in Rindler space-time ⋮ External field QED on Cauchy surfaces for varying electromagnetic fields ⋮ Positive functionals induced by minimizers of causal variational principles ⋮ Elliptic methods for solving the linearized field equations of causal variational principles ⋮ The fermionic projector in a time-dependent external potential: Mass oscillation property and Hadamard states ⋮ Causal variational principles in the \(\sigma\)-locally compact setting: existence of minimizers ⋮ A Hamiltonian formulation of causal variational principles ⋮ On the mathematical foundations of causal fermion systems in Minkowski space ⋮ A mechanism of baryogenesis for causal fermion systems ⋮ A review of Lorentzian synthetic theory of timelike Ricci curvature bounds ⋮ Rényi's entropy on Lorentzian spaces. Timelike curvature-dimension conditions ⋮ Quantum causality in κ-Minkowski and related constraints ⋮ An optimal transport formulation of the Einstein equations of general relativity ⋮ Modified measures as an effective theory for causal fermion systems ⋮ Causal variational principles in the infinite-dimensional setting: existence of minimizers ⋮ The regularized Hadamard expansion ⋮ The causal action in Minkowski space and surface layer integrals ⋮ Spinors on Singular Spaces and the Topology of Causal Fermion Systems ⋮ A class of conserved surface layer integrals for causal variational principles ⋮ Inextendibility of spacetimes and Lorentzian length spaces ⋮ A gauge fixing procedure for causal fermion systems ⋮ Local algebras for causal fermion systems in Minkowski space ⋮ A notion of entropy for causal fermion systems ⋮ Lorentzian length spaces ⋮ The fermionic signature operator and Hadamard states in the presence of a plane electromagnetic wave ⋮ Banach manifold structure and infinite-dimensional analysis for causal fermion systems ⋮ The linear dynamics of wave functions in causal fermion systems ⋮ Causal fermion systems and the ETH approach to quantum theory ⋮ On the von Neumann rule in quantization ⋮ Singular support of minimizers of the causal variational principle on the sphere ⋮ Two-dimensional area and matter flux in the theory of causal fermion systems ⋮ Quantum causality constraints on kappa-Minkowski space-time

This page was built for publication: The continuum limit of causal fermion systems. From Planck scale structures to macroscopic physics