activity
19972012
most citedWarped Convolutions, Rieffel Deformations and the Construction of Quantum Field Theories

79 citations · 386 across the 23 of their papers we have counts for

collaborators

23 papers

math-ph2012★ 42 cited

A Perspective on Constructive Quantum Field Theory

Stephen J. Summers

An overview of the accomplishments of constructive quantum field theory is provided.

math-ph2010★ 79 cited

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…

quant-ph2008★ 8 cited

Subsystems and Independence in Relativistic Microscopic Physics

Stephen J. Summers

The analyzability of the universe into subsystems requires a concept of the "independence" of the subsystems, of which the relativistic quantum world supports many distinct notions…

quant-ph2008★ 26 cited

When are quantum systems operationally independent?

Miklos Redei, Stephen J. Summers

We propose some formulations of the notion of "operational independence" of two subsystems of a larger quantum system and clarify their relation to other independence concepts in t…

math-ph2008★ 18 cited

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…

math-ph2008

"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.