79 citations · 386 across the 23 of their papers we have counts for
12 papers · 1 filter
A Perspective on Constructive Quantum Field Theory
Stephen J. Summers
An overview of the accomplishments of constructive quantum field theory is provided.
Warped Convolutions, Rieffel Deformations and the Construction of Quantum Field Theories
Detlev Buchholz, Gandalf Lechner, Stephen J. Summers
Warped convolutions of operators were recently introduced in the algebraic framework of quantum physics as a new constructive tool. It is shown here that these convolutions provide…
Warped Convolutions: A Novel Tool in the Construction of Quantum Field Theories
Detlev Buchholz, Stephen J. Summers
Recently, Grosse and Lechner introduced a novel deformation procedure for non-interacting quantum field theories, giving rise to interesting examples of wedge-localized quantum fie…
"On the Impossibility of a Poincare-Invariant Vacuum State with Unit Norm" Refuted
Stephen J. Summers
Assertions made in a document recently deposited in the arXiv are refuted.
Yet More Ado About Nothing: The Remarkable Relativistic Vacuum State
Stephen J. Summers
An overview is given of what mathematical physics can currently say about the vacuum state for relativistic quantum field theories on Minkowski space. Along with a review of classi…
String-- and Brane--Localized Causal Fields in a Strongly Nonlocal Model
Detlev Buchholz, Stephen J. Summers
We study a weakly local, but nonlocal model in spacetime dimension and prove that it is maximally nonlocal in a certain specific quantitative sense. Nevertheless, depend…