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 ghost dressing function for mildly (suppression factor 2, top panels), moderately (suppression factor 85, middle panels), and strongly smeared (self-dual regime, bottom panels) configurations, in different fixed topological charge sectors. The discretization is  fm. All results from  lattices
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Fig18: The ghost dressing function for mildly (suppression factor 2, top panels), moderately (suppression factor 85, middle panels), and strongly smeared (self-dual regime, bottom panels) configurations, in different fixed topological charge sectors. The discretization is  fm. All results from lattices

Mentions: For the same reason as for the gluon propagator, it is interesting to identify the topological-(net-)charge dependence of the ghost propagator, which is shown in Figs. 18, 19, and 20. Similarly to the gluon case, no statistically significant dependency on the topological charge is observed. Therefore, the same conclusion holds as for the gluon propagator, i.e. there is no significant dependency on the topological-(net-)charge sector.Fig. 18


Propagators and topology.

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

The ghost dressing function for mildly (suppression factor 2, top panels), moderately (suppression factor 85, middle panels), and strongly smeared (self-dual regime, bottom panels) configurations, in different fixed topological charge sectors. The discretization is  fm. All results from  lattices
© Copyright Policy - OpenAccess
Related In: Results  -  Collection

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

Fig18: The ghost dressing function for mildly (suppression factor 2, top panels), moderately (suppression factor 85, middle panels), and strongly smeared (self-dual regime, bottom panels) configurations, in different fixed topological charge sectors. The discretization is  fm. All results from lattices
Mentions: For the same reason as for the gluon propagator, it is interesting to identify the topological-(net-)charge dependence of the ghost propagator, which is shown in Figs. 18, 19, and 20. Similarly to the gluon case, no statistically significant dependency on the topological charge is observed. Therefore, the same conclusion holds as for the gluon propagator, i.e. there is no significant dependency on the topological-(net-)charge sector.Fig. 18

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