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

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.

16 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

References in corpus (13)

• Entropy scaling and simulability by Matrix Product States
• Global characteristics of all eigenstates of local many-body Hamiltonians: participation ratio and entanglement entropy
• Mean values of local operators in highly excited Bethe states
• Branch Point Twist Field Form Factors in the sine-Gordon Model II: Composite Twist Fields and Symmetry Resolved Entanglement
• Entanglement growth and simulation efficiency in one-dimensional quantum lattice systems
• Integrability and chemical potential in the (3+1)-dimensional Skyrme model
• Fermionic structure in the sine-Gordon model: form factors and null-vectors
• Crystals of superconducting Baryonic tubes in the low energy limit of QCD at finite density
• Exact Thermodynamics and Transport in the Classical Sine-Gordon Model
• Analytic SU(N) Skyrmions at finite Baryon density
• Branch Point Twist Field Form Factors in the sine-Gordon Model I: Breather Fusion and Entanglement Dynamics
• Quantization of Sine-Gordon solitons on the circle: semiclassical vs. exact results
• Solitons and entanglement in the double sine-Gordon model