Symmetries in Quantum Field Theory and the structure of superselection sectors

Karl-Henning Rehren
July 18, 2023
Symmetries, Superselection sectors, Conformal quantum field theory, two-dimensional models
Commissioned by the Encyclopedia of Mathematical Physics, 2nd edition, M. Bojowald and R.J. Szabo (eds.). Elsevier (2025) has published an un-authorized uncorrected version. The present version is corrected.
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String-localized quantum field theory

Karl-Henning Rehren, Bert Schroer
July 18, 2023
String-localized quantum fields, perturbative QFT, causal perturbation theory, Standard Model of particles
Commissioned by the Encyclopedia of Mathematical Physics, 2nd edition, M. Bojowald and R.J. Szabo (eds.). Elsevier (2025) has published an un-authorized uncorrected version. This is the corrected version.
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Universal first-order Massey product of a prefactorization algebra

Simen Bruinsma, Alexander Schenkel, Benoit Vicedo
July 10, 2023
prefactorization algebras, dg-operads, minimal models, Massey products
open access link

Feynman path integrals on compact Lie groups with bi-invariant Riemannian metrics and Schrödinger equations

Nicoló Drago, Sonia Mazzucchi, Valter Moretti
July 06, 2023
Feynman integral, Lie groups
open access link

On the Cauchy problem for the Fadaray tensor on globally hyperbolic manifolds with timelike boundary

Nicoló Drago, Nicolas Ginoux, Simone Murro
June 12, 2023
Overdetermined initial-boundary value problem, Maxwell’s equations, Faraday tensor, Cauchy problem, globally hyperbolic manifolds with timelike boundary.
open access link doi:10.4171/RLM/1029

Algebraic quantum field theory: objectives, methods, and results

Detlev Buchholz and Klaus Fredenhagen
May 22, 2023
Keywords: local quantum physics; local observables; algebraic constructions; vacuum; elementary states; superselection sectors; statistics; thermal states; modular theory; Haag-duality; split property
open access link
This survey is prepared for the second edition of the Encyclopedia of Mathematical Physics, edited by M. Bojowald and R.J. Szabo. It is to be published by Elsevier.

Arrow of time and quantum physics

Detlev Buchholz and Klaus Fredenhagen
May 19, 2023
open access link

Scattering in relativistic quantum field theory: basic concepts, tools, and results

Detlev Buchholz and Wojciech Dybalski
May 13, 2023
Keywords: M{\o}ller operators; scattering matrix; Haag-Ruelle scattering theory; LSZ reduction formulas; particle counters; massless particles; Huygens' principle; infraparticles; asymptotic completeness
This survey is prepared for the second edition of the Encyclopedia of Mathematical Physics, edited by M. Bojowald and R.J. Szabo. It is to be published by Elsevier.
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Operads, homotopy theory and higher categories in algebraic quantum field theory

Marco Benini, Alexander Schenkel
May 05, 2023
algebraic quantum field theory, operads, model categories, higher category theory
open access link

From vertex operator superalgebras to graded-local conformal nets and back

Sebastiano Carpi, Tiziano Gaudio, Robin Hillier
April 27, 2023
open access link

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