Scalar Solitons on the Fuzzy Sphere

Austing, Peter; Jónsson, Thórdur; Thorlacius, Lárus

doi:10.1088/1126-6708/2002/10/073

Cited by 5 publications

(2 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…}, which converges weakly towards a field Φ m on the Moyal plane, and given that Φ N fulfills the equation of motion on the respective fuzzy sphere, then it is clear from (4.10) that the field Φ m will satisfy the equations of motion in the Moyal plane since the equations of motions themselves converge weakly. A specific example is provided by the soliton solution on the fuzzy sphere given in [40] which was shown to converge weakly towards a soliton solution of the Moyal plane.…”

Section: The Classical Limit Smentioning

confidence: 99%

The Seiberg-Witten map on the fuzzy sphere

Grimstrup

Jónsson

Thorlacius

2003

J. High Energy Phys.

Self Cite

View full text Add to dashboard Cite

We construct covariant coordinate transformations on the fuzzy sphere and utilize these to construct a covariant map from a gauge theory on the fuzzy sphere to a gauge theory on the ordinary sphere. We show that this construction coincides with the Seiberg-Witten map on the Moyal plane in the appropriate limit. The analysis takes place in the algebra and is independent of any star-product representation.

show abstract

Section: The Classical Limit Smentioning

confidence: 99%

The Seiberg-Witten map on the fuzzy sphere

Grimstrup

Jónsson

Thorlacius

2003

J. High Energy Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Explicit solitonic solutions have been found in various gauge theories, see, e.g., [1,2,3,4,5] as well as in scalar field theories [6,7,8] at infinite noncommutativity where the existence theory for finite noncommutativity is now rather complete [9,10,11,12] especially for the rotationally invariant case. For general background and reviews of noncommutative field theory we refer to [13,14,15].…”

Section: Introductionmentioning

confidence: 99%

Noncommutative waves have infinite propagation speed

Durhuus¹,

Jónsson

2004

J. High Energy Phys.

Self Cite

View full text Add to dashboard Cite

We prove the existence of global solutions to the Cauchy problem for noncommutative nonlinear wave equations in arbitrary even spatial dimensions where the noncommutativity is only in the spatial directions. We find that for existence there are no conditions on the degree of the nonlinearity provided the potential is positive. We furthermore prove that nonlinear noncommutative waves have infinite propagation speed, i.e., if the initial conditions at time 0 have a compact support then for any positive time the support of the solution can be arbitrarily large. 1

show abstract

Processing of polypropylene–clay nanocomposites: Single‐screw extrusion with in‐line supercritical carbon dioxide feed versus twin‐screw extrusion

Treece

Oberhauser

2006

J of Applied Polymer Sci

View full text Add to dashboard Cite

This work investigates two different meltblending strategies for preparing compatibilized polypropylene-clay nanocomposites, specifically: (1) conventional twin-screw extrusion, and (2) single-screw extrusion capable of direct supercritical carbon dioxide (scCO 2 ) feed to the extruder barrel. Proportional amounts (3 : 1) of maleic anhydride functionalized polypropylene compatibilizer and organically modified montmorillonite clay at clay loadings of 1, 3, and 5 wt % are melt-blended with a polypropylene homopolymer using the two approaches. The basal spacing, degree of exfoliation, and dispersion of organoclay is assessed using X-ray diffraction, transmission electron microscopy, and rheology. In terms of the latter, both steady shear and small-amplitude oscillatory shear provide information about the apparent yield stress and solid-like terminal behavior respectively. Finally, nanoindentation is performed to determine the room temperature modulus of each melt-blended nanocomposite. The results reveal unequivocally that the high shear of the twin-screw process is vastly superior to the single-screw with in-line scCO 2 addition in generating well-exfoliated, percolated polypropylene-clay nanocomposites. It is likely that increased contact time between clay and scCO 2 is necessary for scCO 2 to positively affect exfoliation.

show abstract

Scalar Solitons on the Fuzzy Sphere

Cited by 5 publications

References 34 publications

The Seiberg-Witten map on the fuzzy sphere

The Seiberg-Witten map on the fuzzy sphere

Noncommutative waves have infinite propagation speed

Processing of polypropylene–clay nanocomposites: Single‐screw extrusion with in‐line supercritical carbon dioxide feed versus twin‐screw extrusion

Contact Info

Product

Resources

About