119190991
Confinement From The Gauge Invariant Abelian Decomposition
A common approach while considering confinement is to study the dominance of an Abelian subgroup of the SU(3) gauge Links. A good way to find the Abelian component of the field is through the Cho-Guan-De gauge invariant Abelian Decomposition, which uses a carefully chosen direction vector $n$ to split the gauge field into an Abelian restricted field and a remnant coloured field. The restricted field can be further subdivided into topological and non-topological terms. We show that there is a choice of $n$ which allows us to exactly represent the Wilson Loop of full QCD as a function of only the restricted Abelian field without requiring any path ordering or additional path integrals. We present numerical evidence showing that the topological part of the restricted field dominates the string tension. We also show that $n$ contains certain topological objects, which, if they exist, will be at least partially responsible for confinement. These leave distinctive patterns in the restricted field strength, and we search for these structures in quenched lattice QCD.
121563333
C-projection and monopole condensation in QCD
We show that the monopole condensation is responsible for the confinement. To demonstrate this we present a new gauge invariant integral expression of the one-loop QCD effective action which has no infra-red divergence, and show that the color reflection invariance ("the C-projection") assures the gauge invariance and the stability of the monopole condensation.
118651350
Effective theory of QCD
We derive a generalized Skyrme-Faddeev action as the effective action of QCD in the low energy limit. Our result demonstrates the existence of a mass gap in QCD which triggers the confinement of color.
116920223
A potential approach to spinor quarks
SummaryBy choosing a special potential for a Dirac spinor, one can obtain linear fermionic Regge trajectories without parity doubling.RiassuntoSe si sccglie un potenziale speciale per gli spinori di Dirac, si possono ottenere traiettorie di Regge lineari per i fermioni, senza raddoppio della parità.РеэюмеВыбирая специальный потенциал для спинора Дирака, мы можем получить линейные фермионные траектории Редже беэ удвоения четности.