Construction of a class of scalar quantum field theory models in any dimensions
Gielerak Roman
TL;DR
This paper introduces a method to construct a broad class of scalar quantum field theory models in any dimension, satisfying all Wightman axioms, by analyzing convex envelopes of Wightman functionals.
Contribution
It demonstrates that convex envelopes of certain Wightman functionals are themselves Wightman functionals, enabling the construction of new quantum field models.
Findings
Convex envelopes of Wightman functionals are also Wightman functionals.
Constructs large classes of scalar quantum field models in any dimension.
Models obey all Wightman axioms, including non-quasi-free cases.
Abstract
It is observed that certain convex envelopes of Wightman type functionals corresponding to scalar, stochastically positive quantum fields consist of Wightman type functionals only .This leads to the construction of a large classes of not quasi-free scalar quantum field theory models obeying all Wightman axioms in any dimensions
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Operator Algebra Research · Stochastic processes and financial applications · Advanced Banach Space Theory