Semidirect product of CCR and CAR algebras and asymptotic states in quantum electrodynamics

DOI10.1063/1.532264zbMath1001.81046arXivhep-th/9711066OpenAlexW3098634424MaRDI QIDQ4260532

Andrzej Herdegen

Publication date: 16 December 2002

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

Full work available at URL: https://arxiv.org/abs/hep-th/9711066

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Axiomatic quantum field theory; operator algebras (81T05) General theory of (C^*)-algebras (46L05) Applications of selfadjoint operator algebras to physics (46L60)

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Cites Work

• The physical state space of quantum electrodynamics
• The smallest C\(^*\)-algebra for canonical commutation relations
• Energy and momentum as observables in quantum field theory
• Quasi-free states of the C.C.R.-algebra and Bogoliubov transformations
• Coherent photon states and spectral condition
• Twisted crossed products of C*-algebras
• THE MAXWELL–DIRAC EQUATIONS: ASYMPTOTIC COMPLETENESS AND THE INFRARED PROBLEM
• Long-range effects in asymptotic fields and angular momentum of classical field electrodynamics
• Asymptotic algebra for charged particles and radiation
• The vacuum state in quantum field theory
• Asymptotic conditions and infrared divergences in quantum electrodynamics

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