Pion crystals hosting topologically stable baryons

Inhomogeneous pion condensed phase hosting topologically stable baryons

We discuss the inhomogeneous pion condensed phase within the framework of chiral perturbation theory. We show how the general expression of the condensate can be obtained solving three coupled differential equations, expressing how the pion fields are modulated in space. Upon using some simplifying assumptions, we determine an analytic solution in (3+1)-dimensions. The obtained inhomogeneous condensate is characterized by a non-vanishing topological charge, which can be identified with the baryonic number. In this way, we obtain an inhomogeneous system of pions hosting an arbitrary number of b…

Infinite conformal symmetry and emergent chiral (super)fields of topologically non-trivial configurations: From Yang-Mills-Higgs to the Skyrme model

The present manuscript discusses a remarkable phenomenon concerning non-linear and non-integrable field theories in $(3+1)$-dimensions, living at finite density and possessing non-trivial topological charges and non-Abelian internal symmetries (both local and global). With suitable types of ansätze, one can construct infinite-dimensional families of analytic solutions with non-vanishing topological charges (representing the Baryonic number) labelled by both two integers numbers and by free scalar fields in $(1+1)$-dimensions. These exact configurations represent $(3+1)$-dimensional topological…

Baryons in Holographic QCD

We study the baryon in holographic QCD with $D4/D8/\bar{D8}$ multi-$D$ brane system. In holographic QCD, the baryon appears as a topologically non-trivial chiral soliton in a four-dimensional effective theory of mesons. We call this topological soliton as Brane-induced Skyrmion. Some review of $D4/D8/\bar{D8}$ holographic QCD is presented from the viewpoints of recent hadron physics and phenomenologies. Four-dimensional effective theory with pions and $ρ$ mesons is uniquely derived from the non-abelian Dirac-Born-Infeld (DBI) action of $D8$ brane with $D4$ supergravity background, without smal…

热Skyrmions

Thermoskyrmions

本文研究了通过热效应稳定Skyrmions的机制，探讨其在标准模型量子有效作用中的潜在应用，暗示可能的暗物质存在。