Cocycles for boson and fermion Bogoliubov transformations

DOI10.1063/1.530744zbMath0805.47069arXivhep-th/9305014OpenAlexW3098320608MaRDI QIDQ4296074

Edwin Langmann

Publication date: 18 July 1994

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

Full work available at URL: https://arxiv.org/abs/hep-th/9305014

zbMATH Keywords

Hilbert-Schmidt classloop groupstwo-cocyclesone-parameter groups of implementersunitarily implementable Bogoliubov transformations for charged, relativistic bosons and fermionsunitary propagators with parameter-dependent generators

Mathematics Subject Classification ID

Other elementary particle theory in quantum theory (81V25) Applications of operator theory in the physical sciences (47N50)

Related Items (9)

Fermion current algebras and Schwinger terms in \((3+1)\)-dimensions ⋮ Scattering matrix in external field problems ⋮ Super-Grassmannian and large N limit of quantum field theory with bosons and fermions ⋮ Large N limit of SO(N) gauge theory of fermions and Bosons ⋮ Dynamical C*-algebras and kinetic perturbations ⋮ Neutral particles and super Schwinger terms ⋮ LOCAL EXPONENTS AND INFINITESIMAL GENERATORS OF CANONICAL TRANSFORMATIONS ON BOSON FOCK SPACES ⋮ The phase of the scattering matrix ⋮ Local anyonic quantum fields on the circle leading to cone-local anyons in two dimensions

Cites Work

• On current superalgebras and super-Schwinger terms
• On fermionic gauge groups, current algebras and Kac-Moody algebras
• Quasi-free 'second quantization'
• The Wightman axioms for the fermionic Federbush model
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS

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