Integrable field theories with an interacting massless sector
Integrable field theories with an interacting massless sector
We present the first known integrable relativistic field theories with interacting massive and massless sectors. And we demonstrate that knowledge of the massless sector is essential for understanding of the spectrum of the massive sector. Terms in this spectrum polynomial in the spatial volume (the accuracy for which the Bethe ansatz would suffice in a massive theory) require not just Luscher-like corrections (usually exponentially small) but the full TBA integral equations. We are motivated by the implications of these ideas for AdS/CFT, but present here only field-theory results.
Abbott, Michael C.
7766a6bf-6b30-449c-b047-21a05897f6bb
Aniceto, Ines
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
23 April 2021
Abbott, Michael C.
7766a6bf-6b30-449c-b047-21a05897f6bb
Aniceto, Ines
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Abbott, Michael C. and Aniceto, Ines
(2021)
Integrable field theories with an interacting massless sector.
Physical Review D, 103 (8).
(doi:10.1103/PhysRevD.103.086017).
Abstract
We present the first known integrable relativistic field theories with interacting massive and massless sectors. And we demonstrate that knowledge of the massless sector is essential for understanding of the spectrum of the massive sector. Terms in this spectrum polynomial in the spatial volume (the accuracy for which the Bethe ansatz would suffice in a massive theory) require not just Luscher-like corrections (usually exponentially small) but the full TBA integral equations. We are motivated by the implications of these ideas for AdS/CFT, but present here only field-theory results.
Text
2002.12060
- Accepted Manuscript
More information
Accepted/In Press date: 28 February 2021
e-pub ahead of print date: 23 April 2021
Published date: 23 April 2021
Identifiers
Local EPrints ID: 447877
URI: http://eprints.soton.ac.uk/id/eprint/447877
ISSN: 1550-7998
PURE UUID: 9a153939-41e1-45a6-8e85-e84a5ff23b68
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Date deposited: 25 Mar 2021 18:19
Last modified: 17 Mar 2024 03:54
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Author:
Michael C. Abbott
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