String representation of SU(3) gluodynamics in the Abelian projection

Комаров, Д. А.; Chernodub, M. N.

doi:10.1134/1.567832

Cited by 24 publications

(12 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…After subtracting the contribution of the self-energy of the quark and antiquark we get the static quark-antiquark potential which is written in two parts The integration for V Y ukawa (r) is done easily but an exact calculation cannot be done for V Linear (r). There are some approaches leading to different results for calculating V Linear (r) [12][13][14][15]. In some of them a cutoff is used to make the integral converge at large k [13,14] or k ⊥ [12], where k ⊥ is the perpendicular component of k with respect to n or r (Fig.…”

Section: Quark Confinement Potentialmentioning

confidence: 99%

“…(24) The integration for V Y ukawa (r) is done easily but an exact calculation cannot be done for V Linear (r). There are some approaches leading to different results for calculating V Linear (r) [12][13][14][15]. In some of them a cutoff is used to make the integral converge at large k [13,14] or k ⊥ [12], where k ⊥ is the perpendicular component of k with respect to n or r (Fig.…”

Section: Quark Confinement Potentialmentioning

confidence: 99%

“…Using this Lagrangian, we calculate the potential in a static quark-antiquark pair in two different limits: m C r ≫ 1 and m C r ≪ 1, where m C is the mass of the dual gauge boson and r is the distance between quarks. The limit m C r ≫ 1 has already been discussed with different approaches [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Quark confinement in restrictedSU(2)gauge theory

Deldar

Mohamadnejad

2012

Phys. Rev. D

View full text Add to dashboard Cite

We apply Zwanziger formalism to Cho restricted SU (2) theory to obtain the potential in a static quark-antiquark pair. Cho restricted theory is a self-consistent subset of a non-Abelian SU (2) gauge theory which tries to describe the infrared regime of Yang-Mills gauge theories. In Zwanziger formalism, a local Lagrangian depending on two electric and magnetic gauge fields is constructed for the theories where both electric and magnetic charges exist. Based on this local Lagrangian the propagator and then the potential between quarks is calculated in two limits: m C r ≪ 1 and m C r ≫ 1, where m C is the mass of the dual gauge boson and r is the distance between the quark and the antiquark.

show abstract

Section: Quark Confinement Potentialmentioning

confidence: 99%

Section: Quark Confinement Potentialmentioning

confidence: 99%

See 1 more Smart Citation

Quark confinement in restrictedSU(2)gauge theory

Deldar

Mohamadnejad

2012

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…[24]; the SU(N ) generalization has been explored, in particular for studies of the θ-term [25] [see Ref. [26] for investigations of the θ-term in the SU(2)-and SU(3)-inspired cases] and for the purposes of further applications to the stochastic vacuum model at N = 3 [27,29] [see also [28] for related studies at N = 3]; the corrections emerging in the vicinity of the London limit have also been explored [30].…”

Section: Introductionmentioning

confidence: 99%

k-string tensions in the 4-d SU(N)-inspired dual Abelian-Higgs-type theory

Antonov¹,

Debbio²,

Эберт³

2004

J. High Energy Phys.

View full text Add to dashboard Cite

The k-string tensions are explored in the 4-d [U(1)] N −1 -invariant dual abelianHiggs-type theory. In the London limit of this theory, the Casimir scaling is found in the approximation when small-sized closed dual strings are disregarded. When these strings are treated in the dilute-plasma approximation, explicit corrections to the Casimir scaling are found. The leading correction due to the deviation from the London limit is also derived. Its N -ality dependence turns out to be the same as that of the first non-trivial correction produced by closed strings. It also turns out that this N -ality dependence coincides with that of the leading correction to the k-string tension, which emerges by way of the nondiluteness of the monopole plasma in the 3-d SU(N ) Georgi-Glashow model. Finally, we prove that, in the latter model, Casimir scaling holds even at monopole densities close to the mean one, provided the string world sheet is flat.

show abstract

“…This makes it reasonable to consider this model in the London limit, λ → ∞. In this limit, the model (1) allows for an exact string representation, and the resulting string effective action reads [4], [5]…”

Section: Introductionmentioning

confidence: 99%

Topological and confining properties of Abelian-projected SU(3)-QCD

Antonov

2001

Nuclear Physics B - Proceedings Supplements

View full text Add to dashboard Cite

In this talk, we discuss several topics related to the Abelian-projected SU(3)-QCD. First of them is the Aharonov-Bohm effect emerging during the extension of this theory by the introduction of the $\Theta$-term. Another topic is devoted to various consequences of screening of the dual vector bosons by electric vortex loops. In particular, it is demonstrated that this effect modifies significantly the interaction of quarks. Next, the influence of screening to electric and magnetic field correlators in the four-dimensional Abelian-projected SU(3)-QCD is studied. Finally, the bilocal correlator of electric field strengths in the three-dimensional gas of SU(3) Abelian-projected monopoles is discussed.Comment: 6 pages, LaTeX2e, no figures, presented at High Energy Physics International Euroconference on Quantum Chromo Dynamics - QCD '00, Montpellier, France, 6-13 Jul 2000, minor corrections, subm. to Nucl. Phys. B (Proc. Suppl.

show abstract

String representation of SU(3) gluodynamics in the Abelian projection

Cited by 24 publications

References 8 publications

Quark confinement in restrictedSU(2)gauge theory

Quark confinement in restrictedSU(2)gauge theory

k-string tensions in the 4-d SU(N)-inspired dual Abelian-Higgs-type theory

Topological and confining properties of Abelian-projected SU(3)-QCD

Contact Info

Product

Resources

About