The temperature-dependent Yang-Mills trace anomaly as a function of the mass gap (original) (raw)
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Linear growth of the trace anomaly in Yang-Mills thermodynamics
Physical Review D, 2007
In the lattice work by Miller and in the work by Zwanziger [3] a linear growth of the trace anomaly for high temperatures was found in pure SU(2) and SU(3) Yang-Mills theories. These results show the remarkable property that the corresponding systems are strong interacting even at high temperatures. We show that within an analytical approach to Yang-Mills thermodynamics this linear rise is obtained and is directly connected to the presence of a temperature-dependent ground state, which describes (part of) the nonperturbative nature of the Yang-Mills system. Our predictions are in approximate agreement with [1, 2, 3].
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We determine the temperature (T ) dependence of the ρ -meson mass and the gluon condensate below the deconfinement phase transition by means of QCD sum rules. In the chiral limit we derive sum rule induced scaling relations for the vacuum parts of the Gibbs averaged scalar operators contributing to the operator product expansion of the ρ 0 current-current correlator at finite temperature. The scaling with λ ≡ s0(T )/s0(0), s0 being the T -dependent perturbative QCD continuum threshold in the spectral integral, is simple for renormalization group invariant operators, and becomes nontrivial for a set of operators which mix and scale anomalously under a change of the renormalization point. In contrast to previous works on thermal QCD sum rules with this approach the gluon condensate exhibits a sizable T -dependence which is qualitatively in accord with lattice data. The ρ -meson mass rises slowly with temperature, and there is no indication of its breakdown up to T = 160 MeV.
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We determine the temperature (T) dependence of the rho\rhorho-meson mass and the gluon condensate below the deconfinement phase transition by means of QCD sum rules. In the chiral limit we derive sum rule induced scaling relations for the vacuum parts of the Gibbs averaged scalar operators contributing to the operator product expansion of the rho0\rho^0rho0 current-current correlator at finite temperature. The scaling with lambdaequivsqrts0(T)/s0(0)\lambda\equiv \sqrt{s_0(T)/s_0(0)}lambdaequivsqrts_0(T)/s0(0), s0s_0s_0 being the T-dependent perturbative QCD continuum threshold in the spectral integral, is simple for renormalization group invariant operators, and becomes nontrivial for a set of operators which mix and scale anomalously under a change of the renormalization point. In contrast to previous works on thermal QCD sum rules with this approach the gluon condensate exhibits a sizable T-dependence which is qualitatively in accord with lattice data. The rho\rhorho-meson mass rises slowly with temperature, and there is no indication of its break...
On finite lattice corrections to gauge field thermodynamics
Physics Letters B - PHYS LETT B, 1983
We consider the ideal gas limit of lattice Yang-Mills with fermions. Recently, such a system has been considered in great detail in the literature. We discuss possible finite lattice corrections to the energy density of the quarks and gluons due to the constraint of the quark-gluon gas being in colour singlet state. In the case of pure Yang-Mills theory at finite temperature, we find that Monte Carlo data agree very well with the asymptotically free gluon gas being a colour singlet. In the presence of quarks, in the quenched approximation, we find that Monte Carlo data seem to agree with a distribution where the quarks themselves form a colour singlet. On leave of absence from the Institute of Theoretical Physics, S-41296 Göteborg, Sweden.
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Physical Review D, 2003
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Gluon mass at finite temperature from Landau gauge gluon propagator in lattice QCD
arXiv (Cornell University), 2013
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