2001
DOI: 10.1016/s0550-3213(01)00131-6
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Tunneling of Born–Infeld strings to D2-branes

Abstract: A Born-Infeld theory describing a D2-brane coupled to a 4-form RR field strength is considered, and the general solutions of the static and Euclidean time equations are derived and discussed. The period of the bounce solutions is shown to allow a consideration of tunneling and quantum-classical transitions in the sphaleron region. The order of such transitions, depending on the strength of the RR field strength, is determined. A criterion is then derived to confirm these findings.

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Cited by 12 publications
(25 citation statements)
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“…Turning on the gauge fields, we have (2.36) Since now the worldvolume is the Euclidean 3 dimensional space, the gauge field strength was arranged into a magnetic field. As mentioned before, the symmetry ansatz adopted here 5 Although this funnel looks similar to what has been investigated in [6,7] which is called "spherical bulge", the crucial difference from ours is the dimensionality and the branes considered. In those papers, the decay of a fundamental string into a toroidal D2-brane with gauge flux was considered.…”
Section: Euclidean Evolutionmentioning
confidence: 60%
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“…Turning on the gauge fields, we have (2.36) Since now the worldvolume is the Euclidean 3 dimensional space, the gauge field strength was arranged into a magnetic field. As mentioned before, the symmetry ansatz adopted here 5 Although this funnel looks similar to what has been investigated in [6,7] which is called "spherical bulge", the crucial difference from ours is the dimensionality and the branes considered. In those papers, the decay of a fundamental string into a toroidal D2-brane with gauge flux was considered.…”
Section: Euclidean Evolutionmentioning
confidence: 60%
“…It is well known that D-branes and strings can decay via the tunnel effect in the background of the constant R-R field strength [5,6,7]. Along similar argument, one can find that the Myers' dielectric brane can decay via the tunnel effect.…”
Section: Decay Of Dielectric Brane 21 Introductory Remarksmentioning
confidence: 61%
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“…We now estimate the decay rate of the false vacuum, basically along the lines of [47][48][49][50]. The transition proceeds via a domain wall D5-brane wrapping over the A 1 , A 2 and C cycles at the same point of our spacetime.…”
Section: The Decay Ratementioning
confidence: 99%
“…We consider here the cylindrical D2-brane with magnetic field in a purely timedependent case and demonstrate an analogy with the static, purely electric case [2,3]. This permits the consideration of quantum classical transitions in the magnetic case to be taken over from the electric case.…”
Section: The Tunneling Amplitudementioning
confidence: 99%