FERMIONIC FIELDS IN THE FUNCTIONAL APPROACH TO CLASSICAL FIELD THEORY

DOI10.1142/S0129055X11004503zbMath1242.81112arXiv1101.5126MaRDI QIDQ2889720

Katarzyna Rejzner

Publication date: 8 June 2012

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

Full work available at URL: https://arxiv.org/abs/1101.5126

zbMATH Keywords

fermionic fieldsclassical field theoryperturbative algebraic field theory

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Constructive quantum field theory (81T08) Applications of selfadjoint operator algebras to physics (46L60) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (18)

Locally covariant charged fields and background independence ⋮ Quantum gravity from the point of view of locally covariant quantum field theory ⋮ Algebraic structure of classical field theory: kinematics and linearized dynamics for real scalar fields ⋮ Super Cartan geometry and the super Ashtekar connection ⋮ Batalin-Vilkovisky formalism in perturbative algebraic quantum field theory ⋮ The star product in interacting quantum field theory ⋮ Locally covariant chiral fermions and anomalies ⋮ Properties of field functionals and characterization of local functionals ⋮ Batalin-Vilkovisky formalism in the functional approach to classical field theory ⋮ Quantum BRST charge in gauge theories in curved space-time ⋮ Functional properties of Hörmander's space of distributions having a specified wavefront set ⋮ Covariant phase space, constraints, gauge and the Peierls formula ⋮ THE RENORMALIZED LOCALLY COVARIANT DIRAC FIELD ⋮ The microlocal spectrum condition, initial value formulations, and background independence ⋮ Remarks on local symmetry invariance in perturbative algebraic quantum field theory ⋮ Background independence in gauge theories ⋮ Super fiber bundles, connection forms, and parallel transport ⋮ C*-algebraic approach to interacting quantum field theory: inclusion of Fermi fields

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