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.


The gluon propagator (left panels) and ghost dressing function (right panels) of the residual configurations (4) for different numbers of APE sweeps. The gluon propagator and the ghost dressing function have been normalized to one at the lowest non-vanishing momentum. The top panels are for a discretization of  fm, the middle panels for  fm, and the bottom panels for  fm. All results from  lattices. Note the scales
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Fig22: The gluon propagator (left panels) and ghost dressing function (right panels) of the residual configurations (4) for different numbers of APE sweeps. The gluon propagator and the ghost dressing function have been normalized to one at the lowest non-vanishing momentum. The top panels are for a discretization of fm, the middle panels for  fm, and the bottom panels for  fm. All results from lattices. Note the scales

Mentions: In Fig. 22 the corresponding propagators and dressing functions for different numbers of APE sweeps are shown. Surprisingly, these function agree within a few percent, after appropriate normalization and after a certain amount of smearing. The overall normalization is a decreasing function of the number of APE sweeps, which appears to tend to a finite value for larger and larger numbers of APE sweeps, though this has not been studied in detail. Also, there is a significant impact, especially for the ghost dressing function, of the discretization. The finer and smaller the lattice, the closer the ghost dressing function at the same amount of suppression moves toward the tree-level behavior.Fig. 22


Propagators and topology.

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

The gluon propagator (left panels) and ghost dressing function (right panels) of the residual configurations (4) for different numbers of APE sweeps. The gluon propagator and the ghost dressing function have been normalized to one at the lowest non-vanishing momentum. The top panels are for a discretization of  fm, the middle panels for  fm, and the bottom panels for  fm. All results from  lattices. Note the scales
© Copyright Policy - OpenAccess
Related In: Results  -  Collection

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getmorefigures.php?uid=PMC4376381&req=5

Fig22: The gluon propagator (left panels) and ghost dressing function (right panels) of the residual configurations (4) for different numbers of APE sweeps. The gluon propagator and the ghost dressing function have been normalized to one at the lowest non-vanishing momentum. The top panels are for a discretization of fm, the middle panels for  fm, and the bottom panels for  fm. All results from lattices. Note the scales
Mentions: In Fig. 22 the corresponding propagators and dressing functions for different numbers of APE sweeps are shown. Surprisingly, these function agree within a few percent, after appropriate normalization and after a certain amount of smearing. The overall normalization is a decreasing function of the number of APE sweeps, which appears to tend to a finite value for larger and larger numbers of APE sweeps, though this has not been studied in detail. Also, there is a significant impact, especially for the ghost dressing function, of the discretization. The finer and smaller the lattice, the closer the ghost dressing function at the same amount of suppression moves toward the tree-level behavior.Fig. 22

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.