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  Reflection positive doubles

Jaffe, A., & Janssens, B. (2017). Reflection positive doubles. Journal of Functional Analysis, 272(8), 3506-3557. doi:10.1016/j.jfa.2016.11.014.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-65A5-0 Version Permalink: https://hdl.handle.net/21.11116/0000-0004-6918-C
Genre: Journal Article

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 Creators:
Jaffe, Arthur1, Author           
Janssens, Bas1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematical Physics, High Energy Physics - Theory, Functional Analysis, Mathematical Physics, Operator Algebras, Quantum Physics
 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.

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Language(s): eng - English
 Dates: 2017
 Publication Status: Issued
 Pages: 52
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1607.07126
URI: http://arxiv.org/abs/1607.07126
DOI: 10.1016/j.jfa.2016.11.014
URI: http://dx.doi.org/10.1016/j.jfa.2016.11.014
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Title: Journal of Functional Analysis
  Abbreviation : J. Funct. Anal.
Source Genre: Journal
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Pages: - Volume / Issue: 272 (8) Sequence Number: - Start / End Page: 3506 - 3557 Identifier: -