Gravitating sphaleron–antisphaleron systems

Ibadov, Rustam; Kleihaus, Burkhard; Kunz, Jutta; Leissner, Michael

doi:10.1016/j.physletb.2008.03.055

Cited by 9 publications

(8 citation statements)

References 35 publications

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“…We construct these solutions and investigate their physical properties for a choice of the scalar field potential with quartic and sextic self-interaction terms, which was employed in most of the Q-balls literature. We note that similar configurations of chains of constituents are known to exist both for gravitating and flat space non-Abelian monopoles and dyons [8][9][10][11][12][13][14][15][16][17][18][19][20], Skyrmions [21][22][23], electroweak sphalerons [24][25][26][27][28], SUð2Þ non-self-dual configurations [29,30], and Yang-Mills solitons in anti-de Sitter (ADS 4 ) spacetime [31,32].…”

Section: Introductionmentioning

confidence: 78%

Chains of boson stars

et al. 2021

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We study axially symmetric multisoliton solutions of a complex scalar field theory with a sextic potential, minimally coupled to Einstein's gravity. These solutions carry no angular momentum and can be classified by the number of nodes of the scalar field, k z , along the symmetry axis; they are interpreted as chains with k z þ 1 boson stars, bound by gravity, but kept apart by repulsive scalar interactions. Chains with an odd number of constituents show a spiraling behavior for their Arnowitt-Deser-Misner (ADM) mass (and Noether charge) in terms of their angular frequency, similarly to a single fundamental boson star, as long as the gravitational coupling is small; for larger coupling, however, the inner part of the spiral is replaced by a merging with the fundamental branch of radially excited spherical boson stars. Chains with an even number of constituents exhibit a truncated spiral pattern, with only two or three branches, ending at a limiting solution with finite values of ADM mass and Noether charge.

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Section: Introductionmentioning

confidence: 78%

Chains of boson stars

et al. 2021

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“…Overall, this analysis offers a number of other potential advantages. At a basic level, it can provide a useful consistency check for the numerous fractionally-charged sphaleron Ansätze that have been discovered so far [37][38][39][40][41][42][43][44], and helps place constraints on their functional forms. An example of this can be seen in the Ansatz for the axially symmetric sphaleron, where the arbitrary functions acquire a z-dependence [45].…”

Section: Summary and Discussionmentioning

confidence: 99%

Fermion number 1/2 of sphalerons and spectral mirror symmetry

Mehraeen

Gousheh

2020

Eur. Phys. J. C

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We present a rederivation of the baryon and lepton numbers $$\frac{1}{2}$$ 1 2 of the $$SU(2)_L$$ S U ( 2 ) L S sphaleron of the standard electroweak theory based on spectral mirror symmetry. We explore the properties of a fermionic Hamiltonian under discrete transformations along a noncontractible loop of field configurations that passes through the sphaleron and whose endpoints are the vacuum. As is well known, CP transformation is not a symmetry of the system anywhere on the loop, except at the endpoints. By augmenting CP with a chirality transformation, we observe that the Dirac Hamiltonian is odd under the new transformation precisely at the sphaleron, and this ensures the mirror symmetry of the spectrum, including the continua. As a consistency check, we show that the fermionic zero mode presented by Ringwald in the sphaleron background is invariant under the new transformation. The spectral mirror symmetry which we establish here, together with the presence of the zero mode, are the two necessary conditions whence the fermion number $$\frac{1}{2}$$ 1 2 of the sphaleron can be inferred using the reasoning presented by Jackiw and Rebbi or, equivalently, using the spectral deficiency $$\frac{1}{2}$$ 1 2 of the Dirac sea. The relevance of this analysis to other solutions is also discussed.

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“…We construct these solutions and investigate their physical properties for a choice of the scalar field potential with quartic and sextic selfinteraction terms, which was employed in most of the Q-balls literature. We note that similar configurations of chains of constituents are known to exist both for gravitating and flat space non-Abelian monopoles and dyons [8][9][10][11][12][13][14][15][16][17][18][19][20], Skyrmions [21][22][23], electroweak sphalerons [24][25][26][27][28], SU (2) non-self dual configurations [29,30] and Yang-Mills solitons in ADS 4 spacetime [31,32].…”

Section: Introductionmentioning

confidence: 85%

Chains of Boson Stars

Herdeiro,

Kunz,

Perapechka

et al. 2021

Preprint

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We study axially symmetric multi-soliton solutions of a complex scalar field theory with a sextic potential, minimally coupled to Einstein's gravity. These solutions carry no angular momentum and can be classified by the number of nodes of the scalar field, kz, along the symmetry axis; they are interpreted as chains with kz + 1 boson stars, bound by gravity, but kept apart by repulsive scalar interactions. Chains with an odd number of constituents show a spiraling behavior for their ADM mass (and Noether charge) in terms of their angular frequency, similarly to a single fundamental boson star, as long as the gravitational coupling is small; for larger coupling, however, the inner part of the spiral is replaced by a merging with the fundamental branch of radially excited spherical boson stars. Chains with an even number of constituents exhibit a truncated spiral pattern, with only two or three branches, ending at a limiting solution with finite values of ADM mass and Noether charge.

show abstract

Gravitating sphaleron–antisphaleron systems

Cited by 9 publications

References 35 publications

Chains of boson stars

Chains of boson stars

Fermion number 1/2 of sphalerons and spectral mirror symmetry

Chains of Boson Stars

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