Limits...
Propagators and topology.

Maas A - Eur Phys J C Part Fields (2015)

Bottom Line: The results show that the salient low-momentum features of the propagators are qualitatively retained under smearing at sufficiently small momenta, in agreement with an equivalence of both perspectives.However, the mid-momentum behavior is significantly affected.These results are also relevant for the construction of truncations in functional methods, as they provide hints on necessary properties to be retained in truncations.

View Article: PubMed Central - PubMed

Affiliation: Institute of Physics, University of Graz, Universitätsplatz 5, 8010 Graz, Austria.

ABSTRACT

Two popular perspectives on the non-perturbative domain of Yang-Mills theories are either in terms of the gluons themselves or in terms of collective gluonic excitations, i.e. topological excitations. If both views are correct, then they are only two different representations of the same underlying physics. One possibility to investigate this connection is by the determination of gluon correlation functions in topological background fields, as created by the smearing of lattice configurations. This is performed here for the minimal Landau gauge gluon propagator, ghost propagator, and running coupling, both in momentum and position space for SU(2) Yang-Mills theory. The results show that the salient low-momentum features of the propagators are qualitatively retained under smearing at sufficiently small momenta, in agreement with an equivalence of both perspectives. However, the mid-momentum behavior is significantly affected. These results are also relevant for the construction of truncations in functional methods, as they provide hints on necessary properties to be retained in truncations.

No MeSH data available.


Related in: MedlinePlus

The gluon dressing function for mildly (suppression factor 2, top panels), moderately (suppression factor 20, middle panels), and strongly smeared (suppression factor 85, bottom panels) configurations, in different fixed topological charge sectors. The lattice spacing is  fm, on a  lattices
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Fig11: The gluon dressing function for mildly (suppression factor 2, top panels), moderately (suppression factor 20, middle panels), and strongly smeared (suppression factor 85, bottom panels) configurations, in different fixed topological charge sectors. The lattice spacing is  fm, on a lattices

Mentions: Keeping this statistical limitation in mind, results for several discretizations and smearing sweeps are shown in Figs. 10, 11, and 12. It is visible that there is essentially no effect, no matter the suppression factor nor whether in the self-dual domain or not. Thus, the gluon propagator does not appear to depend too strongly on the topological charge sector.


Propagators and topology.

Maas A - Eur Phys J C Part Fields (2015)

The gluon dressing function for mildly (suppression factor 2, top panels), moderately (suppression factor 20, middle panels), and strongly smeared (suppression factor 85, bottom panels) configurations, in different fixed topological charge sectors. The lattice spacing is  fm, on a  lattices
© Copyright Policy - OpenAccess
Related In: Results  -  Collection

Show All Figures
getmorefigures.php?uid=PMC4376381&req=5

Fig11: The gluon dressing function for mildly (suppression factor 2, top panels), moderately (suppression factor 20, middle panels), and strongly smeared (suppression factor 85, bottom panels) configurations, in different fixed topological charge sectors. The lattice spacing is  fm, on a lattices
Mentions: Keeping this statistical limitation in mind, results for several discretizations and smearing sweeps are shown in Figs. 10, 11, and 12. It is visible that there is essentially no effect, no matter the suppression factor nor whether in the self-dual domain or not. Thus, the gluon propagator does not appear to depend too strongly on the topological charge sector.

Bottom Line: The results show that the salient low-momentum features of the propagators are qualitatively retained under smearing at sufficiently small momenta, in agreement with an equivalence of both perspectives.However, the mid-momentum behavior is significantly affected.These results are also relevant for the construction of truncations in functional methods, as they provide hints on necessary properties to be retained in truncations.

View Article: PubMed Central - PubMed

Affiliation: Institute of Physics, University of Graz, Universitätsplatz 5, 8010 Graz, Austria.

ABSTRACT

Two popular perspectives on the non-perturbative domain of Yang-Mills theories are either in terms of the gluons themselves or in terms of collective gluonic excitations, i.e. topological excitations. If both views are correct, then they are only two different representations of the same underlying physics. One possibility to investigate this connection is by the determination of gluon correlation functions in topological background fields, as created by the smearing of lattice configurations. This is performed here for the minimal Landau gauge gluon propagator, ghost propagator, and running coupling, both in momentum and position space for SU(2) Yang-Mills theory. The results show that the salient low-momentum features of the propagators are qualitatively retained under smearing at sufficiently small momenta, in agreement with an equivalence of both perspectives. However, the mid-momentum behavior is significantly affected. These results are also relevant for the construction of truncations in functional methods, as they provide hints on necessary properties to be retained in truncations.

No MeSH data available.


Related in: MedlinePlus