Non-Abelian Meissner effect in Yang-Mills theories at weak coupling

Gorsky, A.; Shifman, M.; Yung, A.

doi:10.1103/physrevd.71.045010

Cited by 145 publications

(171 citation statements)

References 64 publications

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“…This two dimensional confinement of kinks was interpreted in terms of strings and monopoles of the bulk theory in [28]. The fine structure of vacua in CP(N − 1) model on the non-Abelian string means that N elementary strings are split by quantum effects and have slightly different tensions.…”

Section: Physics Of the World Sheet Theory And Confined Monopolesmentioning

confidence: 99%

Non-Abelian strings in N=1 supersymmetric QCD

Ievlev

Yung

2017

Phys. Rev. D

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Non-Abelian flux tubes (strings) are well studied in N = 2 supersymmetric QCD in (3+1) dimensions. In addition to translational zero modes they have also orientational moduli associated with rotations of their fluxes inside a nonAbelian group. The dynamics of the orientational moduli is described by the two dimensional CP(N − 1) model living on the world sheet of the non-Abelian string. In this paper we consider a deformation of N = 2 supersymmetric QCD with the U(N ) gauge group and N f = N quark flavors with a mass term µ of the adjoint matter. In the limit of large µ the theory flows to an N = 1 supersymmetric QCD. We study the solution for the non-Abelian string in this limit and derive an effective theory on the string world sheet. The bosonic sector of this theory is still given by the CP(N −1) model but its scale is exponentially small as compared to the scale of the four dimensional bulk theory in contrast to the N = 2 case where these scales are equal. We study also the fermionic sector of the world sheet theory. Upon the deformation the non-Abelian string is no longer BPS and we show that the fermionic superorientational zero modes are all lifted. This leaves us with the pure bosonic CP(N − 1) model on the string world sheet in the limit of N = 1 QCD. We also discuss what happens to confined monopoles at large µ.

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Section: Physics Of the World Sheet Theory And Confined Monopolesmentioning

confidence: 99%

Non-Abelian strings in N=1 supersymmetric QCD

Ievlev

Yung

2017

Phys. Rev. D

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“…In the confining case (i.e. massless gauge field, as in the bosonic CP(N −1)) one of these vacua remains genuine while the remaining N −1 are uplifted and become quasistable states [22].…”

Section: Mass Spectrum 341 Undeformed Theorymentioning

confidence: 99%

Making supersymmetric connectedN=(0,2)sigma models

Shifman¹,

Vainshtein²,

Yung³

2015

Phys. Rev. D

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We construct "connected" (0,2) sigma models starting from n copies of (2,2) CP(N − 1) models. General aspects of models of this type (known as T + O deformations) had been previously studied in the context of heterotic string theories. Our construction presents a natural generalization of the non-minimally deformed (2,2) model with an extra (0,2) fermion superfield on tangent bundle T CP(N −1)×C 1 . We had thoroughly analyzed the latter model previously, found the exact β function and a spontaneous breaking of supersymmetry. In contrast, in certain connected sigma models the spontaneous breaking of supersymmetry disappears. We study the connected sigma models in the large-N limit finding supersymmetric vacua and determining the particle spectrum. While the Witten index vanishes in all the models under consideration, in these special cases of connected models one can use a permutation symmetry to define a modification of the Witten index which does not vanish. This eliminates the spontaneous breaking of supersymmetry. We then examine the exact β functions of our connected (0,2) sigma models.

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“…Our model embeds the cosmic string in a non-abelian U(N) gauge theory, so that the string may move in the internal color and flavor space. The formal properties of vortices of this type have been studied extensively of late (see [21][22][23][24]) although, until now, not in the context of cosmic strings. Despite the presence of this internal space we find, rather surprisingly, that cosmic strings continue to reconnect with essentially unit probability, passing through each other only for finely tuned initial conditions.…”

Section: Introductionmentioning

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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Non-Abelian Meissner effect in Yang-Mills theories at weak coupling

Cited by 145 publications

References 64 publications

Non-Abelian strings in N=1 supersymmetric QCD

Non-Abelian strings in N=1 supersymmetric QCD

Making supersymmetric connectedN=(0,2)sigma models

Reconnection of non-abelian cosmic strings

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