Flux Tubes, Field Configuration and Non-Perturbative Dynamics of QCD

Nonperturbative and Thermal Dynamics of Confined Fields in Dual QCD

“…In order to analyze the typical nonperturbative features of the color gauge theory, let us briefly review the dual formulation of QCD [19][20][21][22][23][24][36][37][38][39][40] in terms of the magnetic symmetry and the associated topological structure of dual QCD vacuum. It is well-known that the non-Abelian theory of gauge fields can be viewed [19][20][21][22][23][24][38][39][40] as the Einstein theory of gravitation in a higher-dimensional space which unifies the four dimensional space-time with n-dimensional internal space and allows the introduction of some additional internal isometries. In this connection, the magnetic symmetry may be introduced as a set of self-consistent Killing vector fields of the internal space which, while keeping the full gauge degrees of freedom intact, restricts and reduces some of the dynamical degrees of freedom of the theory.…”

“…For the case of quark color symmetry, it, in turn, may be shown to establish a dual dynamics between the color isocharges and the topological charges of the underlying gauge group. For the simplest choice of the gauge group G ≡ SUð2Þ with its little group H ≡ Uð1Þ, the gauge covariant magnetic symmetry condition may be expressed [19][20][21][22][23][24] in the following form,…”

“…An analytical effective theory of nonperturbative QCD is, therefore, highly desirable which may incorporate the topological aspects, in addition to various glueballs and their interactions, which are the most practical degrees of freedom for the study of the QCD phase transition. In this direction, a topologically effective magnetic symmetry based dual gauge formulation [19][20][21][22][23][24] might prove a parallel to explain the mysterious confining behaviour and associated features of quarks inside the hadronic jails. Furthermore, in recent years, the collective behavior of color isocharges at a finite temperature and density has also attracted a great interest in the theoretical as well as experimental investigations of QCD phase diagram [25].…”