SU(2) Yang-Mills thermodynamics: a priori estimate and radiative corrections

摘要

We review and explain essential characteristics of the a priori estimate ofthe thermal ground state and its excitations in the deconfining phase of SU(2)Quantum Yang-Mills thermodynamics. This includes the spatially central andperipheral structure of Harrington-Shepard (anti)calorons, a sketch on how aspatial coarse-graining over (anti)caloron centers yields an inert scalarfield, which is responsible for an adjoint Higgs mechanism, the identificationof (anti)caloron action with $\hbar$, a discussion of how, owing to(anti)caloron structure, the thermal ground state can be excited (wave-like andparticle-like massless modes, massive thermal quasiparticle fluctuations), theprinciple role of and accounting for radiative corrections, the exclusion ofenergy-sign combinations due to constraints on momenta transfers infour-vertices in a completely fixed, physical gauge, dihedral diagrams andtheir resummation up to infinite loop order in the massive sector, and theresummation of the one-loop polarisation tensor of the massless modes. We alsooutline applications of deconfining SU(2) Yang-Mills thermodynamics to theCosmic Microwave Background (CMB) which affect the cosmological model at highredshifts, the redshift for re-ionization of the Universe, the CMB angularpower spectra at low $l$, and the late-time emergence of intergalactic magneticfields.