ArbitraryN-vortex solutions to the first order Ginzburg-Landau equations

Taubes, Clifford Henry

doi:10.1007/bf01197552

Cited by 401 publications

(413 citation statements)

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“…This Z 2 action means that the single valued coordinate on the moduli space is z 2 , rather than z, an important point in what follows. While the metric on this space is unknown 1 , it is known to be smooth [35], looking like the snub-nose cone shown in Figure 2. The motion of two particles at zero impact parameter goes up and over the cone, as shown in the figure, returning down the other side.…”

Section: Reconnection Of U(1) Stringsmentioning

confidence: 99%

Reconnection of non-abelian cosmic strings

Hashimoto

Tong

2005

J. Cosmol. Astropart. Phys.

119

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Cosmic strings in non-abelian gauge theories naturally gain a spectrum of massless, or light, excitations arising from their embedding in color and flavor space. This opens up the possibility that colliding strings miss each other in the internal space, reducing the probability of reconnection. We study the topology of the non-abelian vortex moduli space to determine the outcome of string collision. Surprisingly we find that the probability of classical reconnection in this system remains unity, with strings passing through each other only for finely tuned initial conditions. We proceed to show how this conclusion can be changed by symmetry breaking effects, or by quantum effects associated to fermionic zero modes, and present examples where the probability of reconnection in a U(N) gauge theory ranges from 1/N for low-energy collisions to one at higher energies.

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Section: Reconnection Of U(1) Stringsmentioning

confidence: 99%

Reconnection of non-abelian cosmic strings

Hashimoto

Tong

2005

J. Cosmol. Astropart. Phys.

119

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“…The moduli space of n BPS vortices, that we indicate by V n , is a 2n real-dimensional space [21,22]. In the large n limit multi-vortices become bags and the tension bag formula is…”

Section: Moduli Space Of the Wall Vortexmentioning

confidence: 99%

“…real-dimensional manifold (we are referring to the SU(2) case) [21,22,64]. The 4n coordinates can be interpreted as the positions of 1-monopoles plus the U(1) phase factor.…”

Section: Moduli Space Of the Bps Magnetic Bagmentioning

confidence: 99%

Multi-monopoles and magnetic bags

Bolognesi¹

2006

Nuclear Physics B

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By analogy with the multi-vortices, we show that also multi-monopoles become magnetic bags in the large n limit. This simplification allows us to compute the spectrum and the profile functions by requiring the minimization of the energy of the bag. We consider in detail the case of the magnetic bag in the limit of vanishing potential and we find that it saturates the Bogomol'nyi bound and there is an infinite set of different shapes of allowed bags. This is consistent with the existence of a moduli space of solutions for the BPS multi-monopoles. We discuss the string theory interpretation of our result and also the relation between the 't Hooft large n limit of certain supersymmetric gauge theories and the large n limit of multi-monopoles. We then consider multi-monopoles in the cosmological context and provide a mechanism that could lead to their production.

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“…Solution of the master equation of vortices in the case of N C = N F = 1 (equivalent to the Taubes equation) was shown to exist uniquely [34]. ¶ This implies that the master equation (3.17) does not contain moduli and therefore is not integrable.…”

Section: Conclusion and Discussionmentioning

confidence: 99%