Exact mapping from the (3+1) -dimensional Skyrme model to the (1+1) -dimensional sine-Gordon theory and some applications

Fabrizio Canfora, Marcela Lagos, Pablo Pais, Aldo Vera

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2 Scopus citations

Abstract

A remarkable exact mapping, valid for low-enough energy scales and close to a sharp boundary distribution of hadronic matter, from the (3+1)-dimensional Skyrme model to the sine-Gordon theory in (1+1) dimensions in the attractive regime is explicitly constructed. Besides the intrinsic theoretical interest to be able to describe the prototype of nonintegrable theories (namely, quantum chromodynamics in the infrared regime) in terms of the prototype of integrable relativistic field theories (namely, sine-Gordon theory in (1+1) dimensions), we will show that this mapping can be extremely useful to analyze both equilibrium and out-of-equilibrium features of baryonic distributions in a cavity.

Original languageEnglish
Article number114027
Pages (from-to)114027-114040
Number of pages13
JournalPhysical Review D
Volume108
Issue number11
DOIs
StatePublished - 2023

Bibliographical note

Publisher Copyright:
© 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

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