Exact mapping from the -dimensional Skyrme model to the -dimensional sine-Gordon theory and some applications
arXiv:2304.09137 · doi:10.1103/PhysRevD.108.114027
Abstract
A remarkable exact mapping, valid for low-enough energy scales and close to a sharp boundary distribution of hadronic matter, from the -dimensional Skyrme model to the sine-Gordon theory in 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 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.
arXiv comment16 pages, 5 figures incorporated. The title and abstract changed according to the referee's suggestions. The version matches the published version in the journal Physical Review D
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