Monopoles and chiral-symmetry breaking in three-dimensional lattice QED

Fiebig, H.R.; Woloshyn, R. M.

doi:10.1103/physrevd.42.3520

Cited by 40 publications

(50 citation statements)

References 24 publications

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“…Moreover, when studying effective theories of undoped high-T c cuprates, we have argued in the introduction that the relevant theory to study is fermions coupled to compact U(1) gauge-fields. Hence, it is of importance to revisit the problem of how monopoles affects Sχ SB [63]. Finally, we note that a recent provocative paper by Wen [64] states that there exists a principle of quantum order which may prevent fermions from dynamically acquiring a mass even in the presence of strong coupling to gauge fields.…”

Section: Summary and Discussionmentioning

confidence: 99%

Kosterlitz–Thouless-like deconfinement mechanism in the (2+1)-dimensional Abelian Higgs model

2003

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We point out that the permanent confinement in a compact (2 + 1)-dimensional U(1) Abelian Higgs model is destroyed by matter fields in the fundamental representation. The deconfinement transition is Kosterlitz-Thouless-like. The dual theory is shown to describe a three-dimensional gas of point charges with logarithmic interactions which arises from an anomalous dimension of the gauge field caused by critical matter field fluctuations. The theory is equivalent to a sine-Gordon-like theory in (2 + 1)-dimensions with an anomalous gradient energy proportional to k 3 . The CallanSymanzik equation is used to demonstrate that this theory has a massless and a massive phase. The renormalization group equations for the fugacity y(l) and stiffness parameter K(l) of the theory show that the renormalization of K(l) induces an anomalous scaling dimension η y of y(l). The stiffness parameter of the theory has a universal jump at the transition determined by the dimensionality and η y . As a byproduct of our analysis, we relate the critical coupling of the sine-Gordon-like theory to an a priori arbitrary constant that enters into the computation of critical exponents in the Abelian Higgs model at the charged infrared-stable fixed point of the theory, enabling a determination of this parameter. This facilitates the computation of the critical exponent ν at the charged fixed point in excellent agreement with one-loop renormalization group calculations for the three-dimensional XY model, thus confirming expectations based on duality transformations.

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Section: Summary and Discussionmentioning

confidence: 99%

Kosterlitz–Thouless-like deconfinement mechanism in the (2+1)-dimensional Abelian Higgs model

2003

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“…A random source method [15,16] was used to calculate TrM −1 ({U}). Sixteen Gaussian random sources were used for each gauge field configuration.…”

Section: Methodsmentioning

confidence: 99%

Exploring lattice quantum chromodynamics by cooling

Trottier

Woloshyn

1994

Phys. Rev. D

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The effect of cooling on a number of observables is calculated in SU(2) lattice gauge theory. The static quark-antiquark potential and spin-dependent interactions are studied, and the topological charge is monitored. The chiral symmetry breaking order parameter χχ and meson correlators are calculated using staggered fermions. Interactions on the distance scale of a few lattice spacings are found to be essentially eliminated by cooling, including the spin-dependent potentials. χχ and meson correlators up to time separations of several lattice spacings relax very quickly to their free-field values. At larger times, there is evidence of a difference between the pseudoscalar and vector channels. A fit to the pseudoscalar correlation function yields "mass" values about 2/3 (in lattice units) of the uncooled masses. These results raise the question of how to reconcile the large-time behavior of the hadron correlators with the fact that the spin-dependent potentials and χχ essentially disappear (in lattice units) after only a small amount of cooling.

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“…Three-dimensional compact electrodynamics (cQED 3 ) has two essential features in common with QCD, confinement [1] and chiral symmetry breaking [2]. Although the physics behind it might be very different, monopole dynamics in three and in four dimensions, it is amusing to study certain nonperturbative aspects within a lower-dimensional model such as cQED 3 .…”

Section: Introductionmentioning

confidence: 99%

Confinement and the photon propagator in 3D compact QED: A lattice study in the Landau gauge at zero and finite temperature

2003

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On the lattice we study the gauge boson propagator of three dimensional compact QED in Landau gauge at zero and non-zero temperature. The non-perturbative effects are taken into account by the generation of a mass, by an anomalous dimension and by the photon wave function renormalization. All these effects can be attributed to the monopoles: they are absent in the propagator of the singularity-free part of the gauge field. We assess carefully the Gribov copy problem for the propagator and the parameters emerging from the fits.

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Monopoles and chiral-symmetry breaking in three-dimensional lattice QED

Cited by 40 publications

References 24 publications

Kosterlitz–Thouless-like deconfinement mechanism in the (2+1)-dimensional Abelian Higgs model

Kosterlitz–Thouless-like deconfinement mechanism in the (2+1)-dimensional Abelian Higgs model

Exploring lattice quantum chromodynamics by cooling

Confinement and the photon propagator in 3D compact QED: A lattice study in the Landau gauge at zero and finite temperature

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