Color magnetism in non-Abelian vortex matter

Kobayashi, Michikazu; Nakano, Eiji; Nitta, Muneto

doi:10.1007/jhep06(2014)130

Cited by 22 publications

(15 citation statements)

References 31 publications

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“…Existence and stability of the solutions which we obtained implies that instanton-anti instanton creation/annihilation may occur, through the quantum tunneling effect, in condensed matters described by the SU (3) antiferromagnetic Heisenberg model such as cold atoms in an optical lattice [34], and rotating dense quark matter [35]. In addition, we hope this work gives a hint for finding finite energy nonembedding solutions of the SU (3) pure Yang-Mills theory on the four dimensional Euclidean space.…”

Section: Summary and Discussionmentioning

confidence: 74%

BPS sphalerons in the F2 nonlinear sigma model

Amari

Sawado²

2018

Phys. Rev. D

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We construct static and also time-dependent solutions in a nonlinear sigma model with target space being the flag manifold F 2 ¼ SUð3Þ=Uð1Þ 2 on the four-dimensional Minkowski spacetime by analytically solving the second-order Euler-Lagrange equation. We show that the static solutions saturate an energy lower bound and can be derived from coupled first-order equations though they are saddle-point solutions. We also discuss basic properties of the time-dependent solutions.

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Section: Summary and Discussionmentioning

confidence: 74%

BPS sphalerons in the F2 nonlinear sigma model

Amari

Sawado²

2018

Phys. Rev. D

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“…Non-Abelian strings were extensively studied in supersymmetric gauge theories [41][42][43][44][45][46][47][48][49] (see Refs. [50][51][52] as a review), color-flavor locked phase in dense QCD [53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69][70] (see Ref. [71] as a review), and recently in the Georgi-Machacek model [72].…”

Section: Introductionmentioning

confidence: 99%

Non-Abelian strings and domain walls in two Higgs doublet models

Eto

Kurachi

Nitta

2018

J. High Energ. Phys.

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Contrary to the standard model that does not admit topologically nontrivial solitons, two Higgs doublet models admit topologically stable vortex strings and domain walls. We numerically confirm the existence of a topological Z-string confining fractional Z-flux inside. We show that topological strings at sin θ W = 0 limit reduce to non-Abelian strings which possess non-Abelian moduli S 2 associated with spontaneous breakdown of the SU (2) custodial symmetry. We numerically solve the equations of motion for various parameter choices. It is found that a gauging U (1) Y always lowers the tension of the Z-string while it keeps that of the W -string. On the other hand, a deformation of the Higgs potential is either raising or lowering the tensions of the Z-string and W -string. We numerically obtain an effective potential for the non-Abelian moduli S 2 for various parameter deformations under the restriction tan β = 1. It is the first time to show that there exists a certain parameter region where the topological W -string can be the most stable topological excitation, contrary to conventional wisdom of electroweak theories. We also obtain numerical solutions of composites of the string and domain walls in a certain condition. arXiv:1805.07015v2 [hep-ph]

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“…Non-Abelian vortices and their non-Abelian orientational moduli have been investigated extensively in the literature in great details in supersymmetric gauge theories [69][70][71][72][73][74][75][76][77][78] and color-flavor locked phase in dense QCD [79][80][81][82][83][84][85][86][87][88][89][90][91][92]. They may play crucial role in understanding the confinement mechanism and duality in non-Abelian gauge theories.…”

Section: Introductionmentioning

confidence: 99%

Topological defects in the Georgi-Machacek model

Chatterjee¹,

Kurachi

Nitta³

2018

Phys. Rev. D

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We study topological defects in the Georgi-Machacek model in a hierarchical symmetry breaking in which extra triplets acquire vacuum expectation values before the doublet. We find a possibility of topologically stable non-Abelian domain walls and non-Abelian flux tubes (vortices) in this model. In the limit of the vanishing U (1) Y gauge coupling in which the custodial symmetry becomes exact, the presence of a vortex spontaneously breaks the custodial symmetry, giving rise to S 2 Nambu-Goldstone (NG) modes localized around the vortex corresponding to non-Abelian fluxes. Vortices are continuously degenerated by these degrees of freedom, thereby called non-Abelian. By taking into account the U (1) Y gauge coupling, the custodial symmetry is explicitly broken, the NG modes are lifted, and all non-Abelian vortices fall into a topologically stable Z-string. This is in contrast to the SM in which Z-strings are non-topological and are unstable in the realistic parameter region. Non-Abelian domain walls also break the custodial symmetry and are accompanied by localized S 2 NG modes. Finally, we discuss the existence of domain wall solutions bounded by flux tubes, where their S 2 NG modes match. The domain walls may quantum mechanically decay by creating a hole bounded by a flux tube loop, and would be cosmologically safe. Gravitational waves produced from unstable domain walls could be detected by future experiments.

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Color magnetism in non-Abelian vortex matter

Cited by 22 publications

References 31 publications

BPS sphalerons in the F2 nonlinear sigma model

BPS sphalerons in the F2 nonlinear sigma model

Non-Abelian strings and domain walls in two Higgs doublet models

Topological defects in the Georgi-Machacek model

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