Stability of Dirac sheet configurations

Ilgenfritz, Ernst-Michael; Müller–Preussker, M.; Martemyanov, B. V.; Baal, Pierre van

doi:10.1103/physrevd.69.097901

Cited by 19 publications

(37 citation statements)

References 23 publications

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“…Notice that in case of the larger lattice we have kept fixed the bare fermion mass in physical units at m 19 MeV for all three β values, while changing µ 5 . It is worth mentioning that the behavior described above looks quite similar as that obtained for two-color QCD in an external magnetic field [27,9].…”

Section: Results and Conclusionsupporting

confidence: 55%

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Two-color QCD with chiral chemical potential

Kotov¹,

Ilgenfritz²,

Брагута³

et al. 2015

Proceedings of the 32nd International Symposium on Lattice Field Theory — PoS(LATTICE2014)

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Abstract. The phase diagram of two-color QCD with a chiral chemical potential is studied on the lattice. The focus is on the confinement/deconfinement phase transition and the breaking/restoration of chiral symmetry. The simulations are carried out with dynamical staggered fermions without rooting. The dependence of the Polyakov loop, the chiral condensate and the corresponding susceptibilities on the chiral chemical potential and the temperature are presented.

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Section: Results and Conclusionsupporting

confidence: 55%

“…Because of non-trivial holonomy they consist of dyons and therefore, have a richer structure than instantons. Their changes they experience at the QCD phase transition are presently under study [9,10].…”

Section: Introductionmentioning

confidence: 99%

Two-color QCD with chiral chemical potential

Kotov¹,

Ilgenfritz²,

Брагута³

et al. 2015

Proceedings of the 32nd International Symposium on Lattice Field Theory — PoS(LATTICE2014)

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show abstract

“…Recent numerical results support the latter scenario in the case of dynamical Wilson fermions [13]. The phase diagram is symmetric under the replacement am 0 → −(8 + am 0 ), which can be undone by redefining the fields.…”

Section: Introductionmentioning

confidence: 57%

Localization properties of lattice fermions with plaquette and improved gauge actions

2005

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We determine the location λ c of the mobility edge in the spectrum of the hermitian Wilson operator in pure-gauge ensembles with plaquette, Iwasaki, and DBW2 gauge actions. The results allow mapping a portion of the (quenched) Aoki phase diagram. We use Green function techniques to study the localized and extended modes. Where λ c > 0 we characterize the localized modes in terms of an average support length and an average localization length, the latter determined from the asymptotic decay rate of the mode density. We argue that, since the overlap operator is commonly constructed from the Wilson operator, its range is set by the value of λ −1 c for the Wilson operator. It follows from our numerical results that overlap simulations carried out with a cutoff of 1 GeV, even with improved gauge actions, could be afflicted by unphysical degrees of freedom as light as 250 MeV.

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“…Appendix in [21]). We use this property to localize (anti)dyons in unsmoothed lattice field configurations.…”

Section: A Holonomymentioning

confidence: 99%

Dyons near the transition temperature in lattice QCD

et al. 2016

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We study the topological structure of QCD by cluster analysis. The fermionic topological charge density is constructed from low lying modes of overlap Dirac operator for three types of temporal boundary conditions for fermion field. This gives the possibility to mark all three dyon constitutents of KvBLL caloron in gluonic fields. The gluonic topological charge density is appearing in the process of overimproved gradient flow process stopped at the moment when it maximally matches the fermionic topological charge density. This corresponds to the smearing of gluonic fields up to the scale set by dyon size. The time-like Abelian monopoles and specific KvBLL pattern of Polyakov line correlate with topological clusters.

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Stability of Dirac sheet configurations

Cited by 19 publications

References 23 publications

Two-color QCD with chiral chemical potential

Two-color QCD with chiral chemical potential

Localization properties of lattice fermions with plaquette and improved gauge actions

Dyons near the transition temperature in lattice QCD

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