SU(<i>N</i>) → Z(<i>N</i>) dual superconductor models: the magnetic loop ensemble point of view

Oxman, L. E.

doi:10.1051/epjconf/201713703015

Cited by 6 publications

(9 citation statements)

References 53 publications

(46 reference statements)

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“…Therefore, in the presence of the source 2πs μν ⃗ β e · ⃗ T, a flux tube with N-ality is induced. These models are also well known to possess flux tube solutions with confined dual monopoles [41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56]. In particular, as the distance between a pair of adjoint quarks is increased, the saddle point will eventually favor string-breaking by screening the external sources with induced dual monopoles, which get identified with valence gluons.…”

Section: Effective Modelsmentioning

confidence: 99%

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4D ensembles of percolating center vortices and monopole defects: The emergence of flux tubes withN-ality and gluon confinement

Oxman

2018

Phys. Rev. D

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Ensembles of magnetic defects represent quantum variables that have been detected and extensively explored in lattice SUðNÞ pure Yang-Mills theory. They successfully explain many properties of confinement and are strongly believed to capture the (infrared) path-integral measure. In this work, we initially motivate the presence of magnetic non-Abelian degrees of freedom in these ensembles. Next, we consider a simple Gaussian model to account for fluctuations. In this case, both center vortices and monopoles become relevant degrees in Wilson loop averages. These physical inputs are then implemented in an ensemble of percolating center vortices in four dimensions by proposing a measure to compute centerelement averages. The introduction of phenomenological information such as monopole tension, stiffness, and fusion leads to an effective YMH model with adjoint Higgs fields. If monopoles also condense, then the gauge group undergoes SUðNÞ → ZðNÞ SSB. This pattern has been proposed as a strong candidate to describe confinement. In the presence of external quarks, these models are known to be dominated by classical solutions, formed by flux tubes with N-ality as well as by confined dual monopoles (gluons).

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Section: Effective Modelsmentioning

confidence: 99%

“…[51]. A color-flavor locking phase could also be present in SUðNÞ YMH models with N 2 − 1 (real) adjoint Higgs fields [52][53][54]. Confined dual monopoles were interpreted as gluons in Refs.…”

Section: Introductionmentioning

confidence: 99%

4D ensembles of percolating center vortices and monopole defects: The emergence of flux tubes withN-ality and gluon confinement

Oxman

2018

Phys. Rev. D

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“…[34], where the links of the colorful region are distributed over the full SU(2) gauge group. In addition to center vortices, the condensation of the Abelian monopoles also leads to the quark confinement in the dual superconductor scenario [39][40][41][42][43][44][45][46]. In addition, although instantons which carry an integer topological charge of modulus one fail to produce confinement (see reviews in e.g., [47,48]), the idea of calorons which are instantons at finite temperature is probably the most promising current version of monopole confinement in pure non-Abelian gauge theories.…”

Section: Introductionmentioning

confidence: 99%

Fractional topological charges and the lowest Dirac modes

Nejad

2018

Phys. Rev. D

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We introduce vortex configurations with fractional topological charges where one unicolor or colorful intersection of two perpendicular vortex pairs contributes to the topological charge of the configurations. Using both the overlap and asqtad staggered fermion formulations, the lowest modes of the Dirac operator on the noninteger Q configurations are studied in the fundamental and adjoint representations. We analyze the behavior of the fundamental and adjoint fermions in the background of the topological charge contributions of jQj ¼ 0.5.

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“…Eqs. (5), (7), (10)]. Moreover, we will show that these equations can be closed with an ansatz that accommodates center vortices carrying the weights of any SUðNÞ group representation.…”

Section: Bps Equationsmentioning

confidence: 90%

“…A possible approach to capture the physics at asymptotic distances is to look for effective Yang-Mills-Higgs (YMH) models that accomodate N-ality as due to an SUðNÞ → ZðNÞ spontaneous symmetry breaking (SSB) pattern, which leads to the formation of ZðNÞ strings [8,9]. In this scenario, the quarks are represented by external monopole/ antimonopole pairs carrying the charges (weights) that characterize Dð•Þ [10]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

BPS strings and the stability of the asymptotic Casimir law in adjoint flavor-symmetric Yang-Mills-Higgs models

2020

Self Cite

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We investigate an effective flavor-symmetric Yang-Mills-Higgs model with N 2 − 1 adjoint scalar fields. We find a set of Bogomol'nyi-Prasad-Sommerfield equations that provide vortex solutions and calculate their energies for arbitrary representations. We show that, for a given N-ality k, the energy of the corresponding antisymmetric representation is the lowest. This completes the proof that this model is able to reproduce a Casimir law for the string tension at asymptotic distances.

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SU(N) → Z(N) dual superconductor models: the magnetic loop ensemble point of view

Cited by 6 publications

References 53 publications

4D ensembles of percolating center vortices and monopole defects: The emergence of flux tubes withN-ality and gluon confinement

4D ensembles of percolating center vortices and monopole defects: The emergence of flux tubes withN-ality and gluon confinement

Fractional topological charges and the lowest Dirac modes

BPS strings and the stability of the asymptotic Casimir law in adjoint flavor-symmetric Yang-Mills-Higgs models

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