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Register a new userOn the study of quark confinement and the relativistic flux tube model
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Authors
Y. H. Yuan
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The scalar potential, time component vector potential and flux tube quark confinements are studied in this paper. We find that the predictions of scalar confinement and time component vector confinement are in considerable conflict with measured values while the flux-tube confinement works well to explain the experimental data. We also study the relativistic flux tube model. From the comparison of the exact numerical solution with the analytic approximation solution for heavy-light mesons, we find that the solutions are much more in agreement with each other for higher excited states since the deep radial limit is better satisfied.
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We study the stress-tensor distribution around the flux tube in static quark and anti-quark systems based on the momentum conservation and the Abelian-Higgs (AH) model. We first investigate constraints on the stress-tensor distribution from the momentum conservation and show that the effect of boundaries plays a crucial role to describe the structure of the flux tube in SU(3) Yang-Mills theory which has measured recently on the lattice. We then study the distributions of the stress tensor and energy density around the magnetic vortex with and without boundaries in the AH model, and compare them with the distributions in SU(3) Yang-Mills theory based on the dual superconductor picture. It is shown that a wide parameter range of the AH model is excluded by a comparison with the lattice results in terms of the stress tensor.
We consider the phase transition in the hot dual long-distances Yang-Mills theory at finite temperature $T$. This phase transition is associated with a change of symmetry. The dual model is formulated in terms of two-point Wightman functions with equations of motion involving higher derivatives. The effective mass of the dual gauge field is derived as a function of $T$-dependent gauge coupling constant.
We study the phase diagram of QCD with the help of order parameters for chiral symmetry breaking and quark confinement. We also introduce a new order parameter for the confinement phase transition, which is related to the quark density. It is easily accessible by different theoretical approaches, such as functional approaches or lattice simulations. Its relation to the Polyakov loop expectation value is discussed and the QCD phase diagram is analysed. Our results suggest a close relation between the chiral and the confinement phase transition.
The treatment of confining interactions in non-relativistic three-quark systems is revised. Usually in the Faddeev equations the Faddeev components are coupled by the total potential. In the new treatment the Faddeev components are coupled only by the non-confining short-range part of the potential, allowing thus its channel-by-channel investigation. The convergence in angular momentum channels is much faster.
We perform $SU(2)$ Yang-Mills lattice simulation of the electric field distribution in the Coulomb gauge for different values of $beta$ to further investigate the nature of the Coulomb flux tube.
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