Potential for inert adjoint scalar field in SU(2) Yang-Mills thermodynamics

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages, 1 figure v4: a number of small editions to the text, matches published version

Scientific paper

10.1143/PTP.118.759

A scalar adjoint field is introduced as a spatial average over (anti)calorons in a thermalized SU(2) Yang-Mills theory. This field is associated with the thermal ground state in the deconfining phase and acts as a background for gauge fields of trivial topology. Without invoking detailed microscopic information we study the properties of the corresponding potential, and we discuss its thermodynamical implications. We also investigate the gluon condensate at finite temperature relating it to the adjoint scalar field.

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