Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772458 | Journal of Functional Analysis | 2017 | 52 Pages |
Abstract
Here we introduce reflection positive doubles, a general framework for reflection positivity, covering a wide variety of systems in statistical physics and quantum field theory. These systems may be bosonic, fermionic, or parafermionic in nature. Within the framework of reflection positive doubles, we give necessary and sufficient conditions for reflection positivity. We use a reflection-invariant cone to implement our construction. Our characterization allows for a direct interpretation in terms of coupling constants, making it easy to check in concrete situations. We illustrate our methods with numerous examples.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Arthur Jaffe, Bas Janssens,