1993
DOI: 10.1103/physrevd.47.5551
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Minkowski space non-Abelian classical solutions with noninteger winding number change

Abstract: Working in a spherically symmetric ansatz in Minkowski space we discover new solutions to the classical equations of motion of pure SU (2) gauge theory. These solutions represent spherical shells of energy which at early times move inward near the speed of light, excite the region of space around the origin at intermediate times and move outward at late times. The solutions change the winding number in bounded regions centered at the origin by non-integer amounts. They also produce non-integer topological char… Show more

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Cited by 33 publications
(97 citation statements)
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“…The turning point condition at τ = 0 is crucial for (2.17) to hold. As was shown in [24], the Minkowski time topological charge vanishes only for solutions with a turning point. The Lüscher-Schechter solutions without a turning point have fractional topological charge on the contour C T 6 .…”
Section: (212)mentioning
confidence: 87%
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“…The turning point condition at τ = 0 is crucial for (2.17) to hold. As was shown in [24], the Minkowski time topological charge vanishes only for solutions with a turning point. The Lüscher-Schechter solutions without a turning point have fractional topological charge on the contour C T 6 .…”
Section: (212)mentioning
confidence: 87%
“…(For details, see [25,26,24].) The spatial radius r ≡ | x| and Euclidean time τ = i t are mapped into two parameters of the Lobachevski plane ( w, φ ):…”
Section: The Action and Topological Charge Of The Solutionmentioning
confidence: 99%
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“…[7], new solutions to these equations were also presented which have much in common with the previously discovered solutions [8] of Lüscher and Schechter (LS). As we will show here these explicit solutions are examples of a wide class of finite energy solutions all of which have certain general features in common.…”
Section: Introductionmentioning
confidence: 94%
“…At energies comparable to but below the sphaleron barrier [3], Euclidean methods [4] and other methods in which part of the calculation is done in Euclidean space [5] have also been applied. However, at energies well above the tunnelling barrier, it may be more appropriate to work directly in Minkowski space [6,7]. To this end, we are investigating solutions to the Minkowski space classical equations of motion.…”
Section: Introductionmentioning
confidence: 99%