Phase structure, magnetic monopoles, and vortices in the lattice Abelian Higgs model

Ranft, J.; Kripfganz, J.; Ranft, G.

doi:10.1103/physrevd.28.360

Cited by 41 publications

(35 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We confirmed with great precision the picture suggested by [28] and see clear signals for first order phase transitions in the topological observables.…”

Section: Discussionsupporting

confidence: 86%

“…Section 4 gives an overview of the results for the topological excitations and show their correlations with other observables characterizing the phase diagram. These results confirm and extend the previous work of [28]. After this general study, we focus on three points along the chiral transition line: in Section 5 we present the results for the percolation of magnetic monopoles, in Section 6 those for the chiral transition.…”

Section: Introductionsupporting

confidence: 84%

“…We expect that also in the quenched model the point N is described by mean field exponents, as observed in [29], probably with logarithmic corrections. The topological excitations of the model have been considered in [28]. In our study we will characterize more fully the phase diagram using topological excitations and we will study in quantitative detail the chiral transition line extending from the point N to the endpoint E, and its interplay with the monopole percolation.…”

Section: Action and Phase Diagrammentioning

confidence: 99%

See 2 more Smart Citations

Chiral transition and monopole percolation in lattice scalar QED with quenched fermions

1998

View full text Add to dashboard Cite

We study the interplay between topological observables and chiral and Higgs transitions in lattice scalar QED with quenched fermions. Emphasis is put on the chiral transition line and magnetic monopole percolation at strong gauge coupling. We confirm that at infinite gauge coupling the chiral transition is described by mean field exponents. We find a rich and complicated behaviour at the endpoint of the Higgs transition line which hampers a satisfactory analysis of the chiral transition. We study in detail an intermediate coupling, where the data are consistent both with a trivial chiral transition clearly separated from monopole percolation and with a chiral transition coincident with monopole percolation, and characterized by the same critical exponent ν ≃ 0.65. We discuss the relevance (or lack thereof) of these quenched results to our understanding of the χU φ 4 model. We comment on the interplay of magnetic monopoles and fermion dynamics in more general contexts.

show abstract

“…We confirmed with great precision the picture suggested by [28] and see clear signals for first order phase transitions in the topological observables.…”

Section: Discussionsupporting

confidence: 86%

Section: Introductionsupporting

confidence: 84%

Section: Action and Phase Diagrammentioning

confidence: 99%

See 1 more Smart Citation

Chiral transition and monopole percolation in lattice scalar QED with quenched fermions

1998

View full text Add to dashboard Cite

show abstract

“…plaquettes [12] and connecting plaquettes with nonzero winding numbers into vortex lines. We then measured the total number of those vortex lines that wind around the short dimension of our lattice.…”

Section: Defect Formation and Local Gauge Invariancementioning

confidence: 99%

Defect Formation and Local Gauge Invariance

2000

View full text Add to dashboard Cite

We propose a new mechanism for formation of topological defects in a U(1) model with a local gauge symmetry. This mechanism leads to definite predictions, which are qualitatively different from those of the Kibble-Zurek mechanism of global theories. We confirm these predictions in numerical simulations, and they can also be tested in superconductor experiments. We believe that the mechanism generalizes to more complicated theories.

show abstract

“…To give a gauge-invariant definition for a vortex on a lattice, we define for each link [11,20] (We choose the opposite sign here! )…”

Section: The U(1)+higgs Theorymentioning

confidence: 99%

Vortex tension as an order parameter in three-dimensional U(1) + Higgs theory

Kajantie¹,

Laine²,

Neuhaus³

et al. 1999

Nuclear Physics B

View full text Add to dashboard Cite

We use lattice Monte Carlo simulations to study non-perturbatively the tension, i.e. the free energy per unit length, of an infinitely long vortex in the three-dimensional U(1)+Higgs theory. This theory is the low-energy effective theory of hightemperature scalar electrodynamics, the standard framework for cosmic string studies. The vortex tension is measured as a function of the mass parameter at a large value of the Higgs self-coupling, where the transition between the phases is continuous. It is shown that the tension gives an order parameter that can distinguish between the two phases of the system. We argue that the vortex tension can describe the physics of long strings without lattice artifacts, unlike vortex network percolation.

show abstract

Phase structure, magnetic monopoles, and vortices in the lattice Abelian Higgs model

Cited by 41 publications

References 28 publications

Chiral transition and monopole percolation in lattice scalar QED with quenched fermions

Chiral transition and monopole percolation in lattice scalar QED with quenched fermions

Defect Formation and Local Gauge Invariance

Vortex tension as an order parameter in three-dimensional U(1) + Higgs theory

Contact Info

Product

Resources

About