[BOOK][B] From vertex operator algebras to conformal nets and back
We consider unitary simple vertex operator algebras whose vertex operators satisfy certain
energy bounds and a strong form of locality and call them strongly local. We present a …
energy bounds and a strong form of locality and call them strongly local. We present a …
Construction of quantum field theories with factorizing S-matrices
G Lechner - Communications in Mathematical Physics, 2008 - Springer
A new approach to the construction of interacting quantum field theories on two-dimensional
Minkowski space is discussed. In this program, models are obtained from a prescribed …
Minkowski space is discussed. In this program, models are obtained from a prescribed …
String-localized quantum fields and modular localization
J Mund, B Schroer, J Yngvason - Communications in mathematical physics, 2006 - Springer
We study free, covariant, quantum (Bose) fields that are associated with irreducible
representations of the Poincaré group and localized in semi-infinite strings extending to …
representations of the Poincaré group and localized in semi-infinite strings extending to …
[PDF][PDF] A perspective on constructive quantum field theory
SJ Summers - arxiv preprint arxiv:1203.3991, 2012 - arxiv.org
Quantum field theory (QFT) is widely viewed as one of the most successful theories in
science—it has predicted phenomena before they were observed in nature 2, and its …
science—it has predicted phenomena before they were observed in nature 2, and its …
Wedge-local quantum fields and noncommutative Minkowski space
H Grosse, G Lechner - Journal of High Energy Physics, 2007 - iopscience.iop.org
Within the setting of a recently proposed model of quantum fields on noncommutative
Minkowski space, the consequences of the consistent application of the proper, untwisted …
Minkowski space, the consequences of the consistent application of the proper, untwisted …
The Bisognano-Wichmann theorem for massive theories
J Mund - Annales Henri Poincaré, 2001 - Springer
The geometric action of modular groups for wedge regions (Bisognano-Wichmann property)
is derived from the principles of local quantum physics for a large class of Poincaré covariant …
is derived from the principles of local quantum physics for a large class of Poincaré covariant …
Modular nuclearity and localization
D Buchholz, G Lechner - Annales Henri Poincaré, 2004 - Springer
Within the algebraic setting of quantum field theory, a condition is given which implies that
the intersection of algebras generated by field operators localized in wedge-shaped regions …
the intersection of algebras generated by field operators localized in wedge-shaped regions …
Quantum field theory: Where we are
Quantum field theory (QFT) aims at the synthesis of quantum physics with the principles of
classical field theory, in particular the principle of locality. Its main realm is the theory of …
classical field theory, in particular the principle of locality. Its main realm is the theory of …
From vertex operator superalgebras to graded-local conformal nets and back
We generalize the Carpi-Kawahigashi-Longo-Weiner correspondence between vertex
operator algebras and conformal nets to the case of vertex operator superalgebras and …
operator algebras and conformal nets to the case of vertex operator superalgebras and …
Inverse scattering and local observable algebras in integrable quantum field theories
S Alazzawi, G Lechner - Communications in Mathematical Physics, 2017 - Springer
We present a solution method for the inverse scattering problem for integrable two-
dimensional relativistic quantum field theories, specified in terms of a given massive single …
dimensional relativistic quantum field theories, specified in terms of a given massive single …