Construction of envelopes of holomorphy and QFT

Ulrich Armbrüster
September 12, 2023
QFT, mass gap, holomorphic continuation
open access link
This paper is a remodeling of my previous work from 1996 at the Sonderforschungsbereich "Geometry and Analysis" at the University of Göttingen.

Modular Hamiltonian for de Sitter diamonds

Markus B. Fröb
August 28, 2023
QFT on curved spacetimes, modular theory
open access link JHEP 12 (2023) 074

Lorentzian bordisms in algebraic quantum field theory

Severin Bunk, James MacManus, Alexander Schenkel
August 02, 2023
algebraic quantum field theory, functorial field theory, Lorentzian geometry, bordisms, pseudo-categories
open access link

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, M. Bojowald and R.J. Szabo (eds.). To be published by Elsevier (2024).
article file

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, M. Bojowald and R.J. Szabo (eds.). To be published by Elsevier (2024).
article file

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

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