Infrared properties of propagators in Landaugauge pure YangMills theory at finite temperature
Abstract
The finitetemperature behavior of gluon and FaddeevPopovghost propagators is investigated for pure SU(2) YangMills theory in Landau gauge. We present nonperturbative results, obtained using lattice simulations and DysonSchwinger equations. Possible limitations of these two approaches, such as finitevolume effects and truncation artifacts, are extensively discussed. Both methods suggest a very different temperature dependence for the magnetic sector when compared to the electric one. In particular, a clear thermodynamic transition seems to affect only the electric sector. These results imply, in particular, the confinement of transverse gluons at all temperatures and they can be understood inside the framework of the socalled GribovZwanziger scenario of confinement.
 Authors:
 Instituto de Fisica de Sao Carlos, Universidade de Sao Paulo, Caixa Postal 369, 13560970 Sao Carlos, SP (Brazil)
 Publication Date:
 OSTI Identifier:
 21020319
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.75.076003; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BAG MODEL; COMPUTERIZED SIMULATION; GLUONS; INFRARED DIVERGENCES; LATTICE FIELD THEORY; PROPAGATOR; SCHWINGER FUNCTIONAL EQUATIONS; SU2 GROUPS; TEMPERATURE DEPENDENCE; YANGMILLS THEORY
Citation Formats
Cucchieri, Attilio, Maas, Axel, and Mendes, Tereza. Infrared properties of propagators in Landaugauge pure YangMills theory at finite temperature. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.076003.
Cucchieri, Attilio, Maas, Axel, & Mendes, Tereza. Infrared properties of propagators in Landaugauge pure YangMills theory at finite temperature. United States. doi:10.1103/PHYSREVD.75.076003.
Cucchieri, Attilio, Maas, Axel, and Mendes, Tereza. Sun .
"Infrared properties of propagators in Landaugauge pure YangMills theory at finite temperature". United States.
doi:10.1103/PHYSREVD.75.076003.
@article{osti_21020319,
title = {Infrared properties of propagators in Landaugauge pure YangMills theory at finite temperature},
author = {Cucchieri, Attilio and Maas, Axel and Mendes, Tereza},
abstractNote = {The finitetemperature behavior of gluon and FaddeevPopovghost propagators is investigated for pure SU(2) YangMills theory in Landau gauge. We present nonperturbative results, obtained using lattice simulations and DysonSchwinger equations. Possible limitations of these two approaches, such as finitevolume effects and truncation artifacts, are extensively discussed. Both methods suggest a very different temperature dependence for the magnetic sector when compared to the electric one. In particular, a clear thermodynamic transition seems to affect only the electric sector. These results imply, in particular, the confinement of transverse gluons at all temperatures and they can be understood inside the framework of the socalled GribovZwanziger scenario of confinement.},
doi = {10.1103/PHYSREVD.75.076003},
journal = {Physical Review. D, Particles Fields},
number = 7,
volume = 75,
place = {United States},
year = {Sun Apr 01 00:00:00 EDT 2007},
month = {Sun Apr 01 00:00:00 EDT 2007}
}

The infrared behavior of gluon and ghost propagators, ghostgluon vertex, and threegluon vertex is investigated for both the covariant Landau and the noncovariant Coulomb gauge. Assuming infrared ghost dominance, we find a unique infrared exponent in the d=4 Landau gauge, while in the d=3+1 Coulomb gauge we find two different infrared exponents. We also show that a finite dressing of the ghostgluon vertex has no influence on the infrared exponents. Finally, we determine the infrared behavior of the threegluon vertex analytically and calculate it numerically at the symmetric point in the Coulomb gauge.

More on Gribov copies and propagators in Landaugauge YangMills theory
Fixing a gauge in the nonperturbative domain of YangMills theory is a nontrivial problem due to the presence of Gribov copies. In particular, there are different gauges in the nonperturbative regime which all correspond to the same definition of a gauge in the perturbative domain. Gaugedependent correlation functions may differ in these gauges. Two such gauges are the minimal Landau gauge and the absolute Landau gauge, both corresponding to the perturbative Landau gauge. These, and their numerical implementation, are described and presented in detail. Other choices will also be discussed. This investigation is performed, using numerical lattice gauge theory calculations,more » 
Infrared behavior of the ghostgluon vertex in Landau gauge YangMills theory
A semiperturbative calculation of the ghostgluon vertex in Landaugauge YangMills theory in four and three Euclidean spacetime dimensions is presented. Nonperturbative gluon and ghost propagators are employed, which have previously been calculated from a truncated set of DysonSchwinger equations and which are in qualitative and quantitative agreement with corresponding lattice results. Our results for the ghostgluon vertex show only relatively small deviations from the treelevel one in agreement with recent lattice data. In particular, we do not see any sign for a singular behavior of the ghostgluon vertex in the infrared. 
Uniqueness of infrared asymptotics in Landau gauge YangMills theory
We uniquely determine the infrared asymptotics of Green functions in Landau gauge YangMills theory. They have to satisfy both the DysonSchwinger equations and functional renormalization group equations. Then, the requirement of consistency fixes the relation between the infrared power laws of these Green functions. We discuss consequences for the interpretation of recent results from lattice QCD.