The Goldstone model static solutions on<i>S</i><sup>1</sup>

Brihaye, Yves; Tomaras, T.N.

doi:10.1088/0951-7715/12/4/307

Cited by 13 publications

(40 citation statements)

References 12 publications

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“…Therefore, the energy along the loop,Ẽ(Ñ cs ) agrees with the result (20,22) for the geometrical NCL. Hence there is no advantage of lower energy along the boundary loop compared to the geometrical loop, both provide equivalent "static minimal energy paths" [25].…”

Section: Aky Boundary Loop Constructionsupporting

confidence: 84%

“…The periodic solutions of ϕ 4 theory [21] and Goldstone theory [22] in one dimension can be more gainfully interpreted as the periodic instantons in Euclidean quantum mechanics. These periodic solutions describe tunneling from thermally excited states, the temperature being given by the inverse period.…”

Section: Gauging and Nonperiodic Boundary Conditionsmentioning

confidence: 99%

“…The idea now is to construct a loop by increasing the boundary condition parameter q(t) as a time-dependent quantity from q(t = −∞) = 0 to q(t = ∞) = π. Inserting the ansatz in the Chern-Simons functional (22) and taking care of the boundary conditions for H, K when evaluating Ω…”

Section: Aky Boundary Loop Constructionmentioning

confidence: 99%

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ddimensionalSO(d)-Higgs models with an instanton and sphaleron:d=2,3
Kleihaus
¹
,
Tchrakian
²
,
Zimmerschied
³

1999
Phys. Rev. D
4
1
3
0
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The Abelian Higgs model and the Georgi-Glashow model in two and three Euclidean dimensions, respectively, support both finite-size instantons and sphalerons. The instantons are the familiar Nielsen-Oleson vortices and the 't Hooft-Polyakov monopole solutions, respectively. We have constructed the sphaleron solutions and calculated the Chern-Simons charges N CS for sphalerons of both models and have constructed two types of noncontractible loops between topologically distinct vacua. In the three-dimensional model, the sphaleron and the vacua have a zero magnetic and electric flux while the configurations on the loops have a nonvanishing magnetic flux. ͓S0556-2821͑99͒02922-7͔

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Section: Aky Boundary Loop Constructionsupporting

confidence: 84%

Section: Gauging and Nonperiodic Boundary Conditionsmentioning

confidence: 99%

See 1 more Smart Citation

ddimensionalSO(d)-Higgs models with an instanton and sphaleron:d=2,3
Kleihaus
¹
,
Tchrakian
²
,
Zimmerschied
³

1999
Phys. Rev. D
4
1
3
0
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“…In Figure 4 we plot the Higgs magnitude F (ρ) ≡ f 2 + g 2 , the magnetic field B 3 and the current J θ for the second solution. 3 Energies in our numerics are defined up to the overall factor 1/2λ in (31). Note that the Higgs magnitude differs, in accordance with the theoretical analysis, only slightly from its vacuum value m H .…”

Section: Resultsmentioning

confidence: 99%

Superconducting string texture

Perivolaropoulos

Tomaras

2000

Phys. Rev. D

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We present a detailed analytical and numerical study of a novel type of static, superconducting, classically stable string texture in a renormalizable topologically trivial massive U(1) gauge model with one charged and one neutral scalar. An upper bound on the mass of the charged scalar as well as on the current that the string can carry are established. A preliminary unsuccessful search for stable solutions corresponding to large superconducting loops is also reported.The term texture is attributed generically to topological configurations trivial at spatial infinity. The winding of the fields takes place over a finite region which roughly defines the location of the configuration. Such defects have attracted considerable attention, both in particle physics and cosmology. Well known examples are the Skyrmion which offers a useful alternative description of the nucleon, and the global texture used recently to implement an appealing mechanism for structure formation in the Universe. In cosmological applications one makes use of the instability of three dimensional texture in renormalizable purely scalar theories. All such configurations are unstable towards shrinking; they collapse to a point and eventually decay to scalar radiation. This is a natural decay mechanism, which on the one hand prevents the domination of the energy density by texture-like defects, and on the other it leads to highly energetic events, which can provide the primordial fluctuations necessary for structure formation.In particle physics one would be more interested in observing such solitons in accelerator experiments, and the above instability is an unwanted feature. One approach to stabilize such configurations was the introduction into the action of higher derivative terms. However, being nonrenormalizale, such terms are undesirable in the tree level action, and furthermore it has not been possible so far to produce in a controllable unambiguous way a quartic term of the right sign to lead to stable solitons. An alternative way has been advocated recently and has succesfully stabilized texture in realistic extensions of the standard model with more than the minimal one Higgs doublet content. The texture here is stabilized by the gauge interactions.An extended Higgs sector in the effective low energy theory of electroweak interactions is favored by supersymmetry, superstring theory and is necessary if one wishes to arrange for an efficient and potentially realistic electroweak baryogenesis. Examples of simple realistic models with a multiple Higgs field content are the two Higgs-doublet standard model ͑2HSM͒, and the minimal supersymmetric standard model ͑MSSM͒. It is well known that no finite energy topological strings or particle-like solitons exist in these models, and furthermore if no additional spontaneously broken discrete global symmetries are introduced, they do not carry domain walls either.However, it was pointed out recently ͓1͔ that an extended Higgs sector supports generically the existence of a new class of quasi-topologica...

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“…When the parameter determining the mass of the Higgs field increases, additional solutions, the bisphalerons, bifurcate from the sphaleron [4,5]. This feature seems to be related to the underlying non-linear character of the classical equations and to the spontaneous breakdown of the symmetry [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

GRAVITATING (BI-)SPHALERONS

Brihaye

Desoil

2000

Mod. Phys. Lett. A

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The standard model of electroweak interactions is minimally coupled to gravity and the response of the spherically symmetric solutions -the sphaleron and the bisphaleron-to gravity is emphasized. For a given value of the Higgs mass MH , several branches of solutions exist which terminate into cusp-catastrophy at some (MH-depending) critical value of the parameter α defined by the ratio of the vector-boson mass to the Planck mass. A given branch either bifurcates from another one at an intermediate value of α or persists in the limit α → 0 where it terminates into a flat sphaleron or bisphaleron or into a Bartnik-McKinnon solution. These bifurcation patterns are studied in some details.

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The Goldstone model static solutions onS¹

Cited by 13 publications

References 12 publications

ddimensionalSO(d)-Higgs models with an instanton and sphaleron:d=2,3
Kleihaus
¹
,
Tchrakian
²
,
Zimmerschied
³

1999
Phys. Rev. D
4
1
3
0
View full text Add to dashboard Cite

ddimensionalSO(d)-Higgs models with an instanton and sphaleron:d=2,3
Kleihaus
¹
,
Tchrakian
²
,
Zimmerschied
³

1999
Phys. Rev. D
4
1
3
0
View full text Add to dashboard Cite

Superconducting string texture

GRAVITATING (BI-)SPHALERONS

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The Goldstone model static solutions onS1

Cited by 13 publications

References 12 publications

ddimensionalSO(d)-Higgs models with an instanton and sphaleron:d=2,3Kleihaus1, Tchrakian2, Zimmerschied3 1999Phys. Rev. D4130View full textAdd to dashboardCite

ddimensionalSO(d)-Higgs models with an instanton and sphaleron:d=2,3Kleihaus1, Tchrakian2, Zimmerschied3 1999Phys. Rev. D4130View full textAdd to dashboardCite

Superconducting string texture

GRAVITATING (BI-)SPHALERONS

Contact Info

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Resources

About

The Goldstone model static solutions onS¹

ddimensionalSO(d)-Higgs models with an instanton and sphaleron:d=2,3
Kleihaus
¹
,
Tchrakian
²
,
Zimmerschied
³

1999
Phys. Rev. D
4
1
3
0
View full text Add to dashboard Cite

ddimensionalSO(d)-Higgs models with an instanton and sphaleron:d=2,3
Kleihaus
¹
,
Tchrakian
²
,
Zimmerschied
³

1999
Phys. Rev. D
4
1
3
0
View full text Add to dashboard Cite