Hadrons without strings

Lavelle, Martin; McMullan, David

doi:10.1016/s0370-2693(99)01326-x

Cited by 14 publications

(6 citation statements)

References 13 publications

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“…As we have noted, if the Wilson line operator Φ Wz acts on the vacuum, the highly-localized electric field it creates is not stable, and will decay [30,31]. Another way to see its relation to the Dirac field is to rewrite the field arising from the Wilson line as a longitudinal, Coulomb, piece, plus a transverse, radiative, piece [32], using…”

Section: B Coulomb or Dirac Dressingmentioning

confidence: 99%

Diffeomorphism-invariant observables and their nonlocal algebra

2016

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Gauge-invariant observables for quantum gravity are described, with explicit constructions given primarily to leading order in Newton's constant, analogous to and extending constructions first given by Dirac in quantum electrodynamics. These can be thought of as operators that create a particle, together with its inseparable gravitational field, and reduce to usual field operators of quantum field theory in the weak-gravity limit; they include both Wilson-line operators, and those creating a Coulombic field configuration. We also describe operators creating the field of a particle in motion; as in the electromagnetic case, these are expected to help address infrared problems. An important characteristic of the quantum theory of gravity is the algebra of its observables. We show that the commutators of the simple observables of this paper are nonlocal, with nonlocality becoming significant in strong field regions, as predicted previously on general grounds.

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Section: B Coulomb or Dirac Dressingmentioning

confidence: 99%

Diffeomorphism-invariant observables and their nonlocal algebra

2016

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“…The investigation of this type of "stringless" state with external charges in non-abelian theories, using perturbative methods, was undertaken some time ago by Lavelle and Mc-Mullan in ref. [7]. The exponential prefactor in eq.…”

Section: The F-p Eigenvalue Densitymentioning

confidence: 99%

Center vortices and the Gribov horizon

Greensite

Olejník

Zwanziger

2005

J. High Energy Phys.

154

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We show how the infinite color-Coulomb energy of color-charged states is related to enhanced density of near-zero modes of the Faddeev-Popov operator, and calculate this density numerically for both pure Yang-Mills and gauge-Higgs systems at zero temperature, and for pure gauge theory in the deconfined phase. We find that the enhancement of the eigenvalue density is tied to the presence of percolating center vortex configurations, and that this property disappears when center vortices are either removed from the lattice configurations, or cease to percolate. We further demonstrate that thin center vortices have a special geometrical status in gauge-field configuration space: Thin vortices are located at conical or wedge singularities on the Gribov horizon. We show that the Gribov region is itself a convex manifold in lattice configuration space. The Coulomb gauge condition also has a special status; it is shown to be an attractive fixed point of a more general gauge condition, interpolating between the Coulomb and Landau gauges.

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“…We note also that the arbitrary path dependence of Q Q states dressed by a Wilson line may be factorised order by order in perturbation theory. This yields a product dressing consisting of a gauge invariant, but path dependent, gluonic term and a separately gauge invariant structure of two fermions dressed with the above minimal (or Coulomb) dressing [20].…”

Section: A Dressing Approachmentioning

confidence: 99%

“…where h U µ (x) denotes the link after gauge fixing. According to (20) the potential of two static Coulomb dressed quarks can then be extracted from the correlator of two Polyakov lines of finite temporal extent, C(r, T ) ≡ tr h P T (x) h P † T (y) .…”

Section: Confining Potential From Coulomb Dressed Quarksmentioning

confidence: 99%

Coulomb gauge Gribov copies and the confining potential

et al. 2007

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We study the approach, initiated by Marinari et al., to the static inter-quark potential based on Polyakov lines of finite temporal extent, evaluated in Coulomb gauge. We show that, at small spatial separations, the potential can be understood as being between two separately gauge invariant colour charges. At larger separations Gribov copies obstruct the non-perturbative identification of individually gauge invariant colour states. We demonstrate, for the first time, how gauge invariance can be maintained quite generally by averaging over Gribov copies. This allows us to extend the analysis of the Polyakov lines and the corresponding, gauge invariant quark-antiquark state to all distance scales. Using large scale lattice simulations, we show that this interpolating state possesses a good overlap with the ground state in the quark-antiquark sector and yields the full static inter-quark potential at all distances. A visual representation of the Gribov copies on the lattice is also presented.Comment: 22 pages, 9 figures, v2: minor changes, references adde

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Hadrons without strings

Abstract: Descriptions of hadrons and glueballs can be constructed using strings to preserve gauge invariance. We show how this string dependence may be removed at all orders in perturbation theory.

Cited by 14 publications

References 13 publications

Diffeomorphism-invariant observables and their nonlocal algebra

Diffeomorphism-invariant observables and their nonlocal algebra

Center vortices and the Gribov horizon

Coulomb gauge Gribov copies and the confining potential

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