Rotating gluon system and confinement

Abstract

In this work the non-abelian gauge theory is reformulated in a local inertial frame with the presence of a background rotation. With this new formalism the influence of the background rotation on the color deconfinement transition for a SU(2) pure gluon system. The KvBLL caloron, which is a color neutral and asymptotically nontrivial solution of Yang-Mills equation at finite temperature, is adopted to confine the color charges. With new solutions of the caloron's constituent particles, i.e. dyons, the semi-classical potential, which confines color charges, and the perturbative potential, induced by the Gaussian fluctuation, have been obtained for this system under rotation. By solving the critical temperature of confinement-deconfinement phase transition in different computation schemes, it is found that neither the rotational semi-classical potential nor Gaussian fluctuations can confine color charges more tightly when the rotation becomes faster. While only a stronger coupling constant is able to make the critical temperature increasing with angular velocity, as that indicated in lattice simulations. And it is also found with some particular sets of parameters, a non-monotonic dependence of the critical temperature will be obtained in the most physically realistic case, in which all the three factors are taken into account.

9 pages, 4 figures

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• Confining ensemble of dyons
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Cited by in corpus (10)

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• Chiral and deconfinement thermal transitions at finite quark spin polarization in lattice QCD simulations
• Imaginary Rotating Gluonic Matter at Strong Coupling
• On the origin of mixed inhomogeneous phase in vortical gluon plasma
• Perturbation theory of rotating scalar fields and vacuum insensitivity to rotation
• Unraveling the effect of rotation on the confinement/deconfinement transition of the quark-gluon plasma
• Rotation induced color confinement
• Susceptibilities of rotating quark matter in Fourier-Bessel basis
• Dirac fermions under imaginary rotation
• Chromomagnetic Condensate in Finite-Temperature SU(2) Yang-Mills Theory under Imaginary Rotation