Center Phase Transition from Fundamentally Charged Matter Propagators

Abstract

The center phase transition at non-vanishing temperatures is investigated in Landau gauge Quantum Chromodynamics (QCD) and scalar QCD. For each theory novel order parameters for the transition are introduced. The matter-gluon vertex which occurs in the Dyson-Schwinger equations of the propagators has to be modeled in contemporary studies. It is found that the nature of the phase transition depends strongly on the detailed structure of this vertex. Our investigation motivates a precise determination of the matter-gluon vertex at non-vanishing temperatures.Xth Quark Confinement and the Hadron Spectrum,

Two- and three-point functions in Landau gauge Yang-Mills-Higgs theory

“…Inside this QCD-like region the correlation functions in the gauge sector show a behavior close to the one of Yang-Mills theory [15], while the ones involving Higgs fields are close to the quenched case [26]. These results are in line with most expectations from functional studies [7,[16][17][18][19][20][21], and proposals which involve infrared divergent W -Higgs vertices [16] appear currently rather unlikely.…”

“…Thus the study of correlation functions can serve as a valuable tool in understanding these mechanisms, as has been done for Yang-Mills theory [15]. Especially, several predictions and functional results are available for the present case [7,[16][17][18][19][20][21], and therefore it is worthwhile to check them explicitly. Furthermore, these correlation functions provide a valuable input and cross-check for other methods, e.g.…”

“…However, this choice yields the lowest number of independent tensor structures with the simplest renormalization structure, and is applicable throughout the phase diagram. It is also the one used in the functional calculations outside the Higgs regime [16][17][18][19][20]. Hence, it will be used here.…”