Ground state in gluodynamics and quark confinement

Zarembo, Konstantin

doi:10.1016/s0370-2693(97)01592-x

Cited by 12 publications

(26 citation statements)

References 22 publications

(50 reference statements)

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“…In some recent papers [11,12] it was suggested that the charged sector can be described by the vacuum wave function, modified only to satisfy the new Gauss' law constraint. It was conjectured that further modification of the wave function in the presence of the external charges is unnecessary.…”

Section: Introductionmentioning

confidence: 99%

Interaction potential in compact three-dimensional QED with mixed action

Kovner

Svetitsky

1999

Phys. Rev. D

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We use a variational wave function to calculate the energy of the interaction between external charges in the compact Abelian gauge theory in 2+1 dimensions with mixed action. Our variational wave functions preserve the compact gauge invariance of the theory both in the vacuum and in the charged sectors. We find that a good estimate of the interaction energy is obtained only when we allow more variational parameters in the charged sector than in the vacuum sector. These extra parameters are the profile of an induced electric field. We find that the theory has a two-phase structure: When the charge-2 coupling is large and negative there is no mass gap in the theory and no confinement, while otherwise a mass gap is generated dynamically and the theory confines charges. The pure Wilson theory is in the confining phase.Comment: 22 pages, Latex -- final version, minor changes from first versio

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Section: Introductionmentioning

confidence: 99%

Interaction potential in compact three-dimensional QED with mixed action

Kovner

Svetitsky

1999

Phys. Rev. D

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“…The emergence of such a picture needs to be further pursued; higher order perturbative studies will be useful in this regard, but non-perturbative work will be crucial. We note here previous attempts to construct, in simpler systems, gluonic distributions which yield a phenomenological potential, of r + 1/r type [12].…”

Section: Discussionmentioning

confidence: 99%

“…Note that we here cannot factor out the Γ dependence but are free to drop this additive, singular term. c) For baryonic structures we recall (12) which, using our result (17) and discarding as in the mesonic case all the path dependent terms, can be expressed as…”

Section: Making Hadronsmentioning

confidence: 99%

Hadrons without strings

Lavelle

McMullan

1999

Physics Letters B

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“…The next term is quadratic in A and plays several crucial roles. First, it removes the ambiguity in Ψ 0 [9] due to the invariance of the Haar measure in Eq. (2.1) under group transformations.…”

Section: Gauge-invariant Vacuum Wave Functionalsmentioning

confidence: 99%

Exploring Gauge-Invariant Vacuum Wave Functionals for Yang-Mills Theory

Forkel¹

2012

Proceedings of International Workshop on QCD Green's Functions, Confinement and Phenomenology — PoS(QCD-TNT-II)

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We study gauge-invariant approximations to the Yang-Mills vacuum wave functional in which asymptotic freedom and a detailed description of the infrared dynamics are encoded through squeezed core states. After variationally optimizing these trial functionals, dimensional transmutation, gluon condensation and a dynamical mass gap of the expected magnitude emerge transparently. The dispersion properties of the soft gauge modes are modified by higher-gradient interactions and suggest a negative differential color resistance of the Yang-Mills vacuum. Casting the soft-mode dynamics into the form of an effective action for gauge-invariant collective fields, furthermore, allows to identify novel infrared degrees of freedom. The latter are gaugeinvariant saddle-point fields which summarize dominant and universal contributions from various gauge-field orbits to all amplitudes. Their analysis provides new insights into how the vacuum gluon fields generate gauge-invariant excitations. Examples include a dynamical size stabilization mechanism for instantons and merons, a gauge-invariant representation of their effects as well as a new physical interpretation for Faddeev-Niemi knots.

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Ground state in gluodynamics and quark confinement

Cited by 12 publications

References 22 publications

Interaction potential in compact three-dimensional QED with mixed action

Interaction potential in compact three-dimensional QED with mixed action

Hadrons without strings

Exploring Gauge-Invariant Vacuum Wave Functionals for Yang-Mills Theory

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