Electrically charged bifurcating monopole-antimonopole pair and vortex-ring solutions

Teh, Rosy; Soltanian, Amin; Wong, Khai‐Ming

doi:10.1103/physrevd.89.045018

Cited by 10 publications

(10 citation statements)

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“…Similar chain solutions are known to exist in various systems, both for gravitating and flat space solitons, e.g. for non-Abelian monopoles and dyons [29][30][31][32][33][34][35][36][37][38][39][40][41], Skyrmions [42][43][44], and boson stars [45].…”

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confidence: 66%

Q-balls in the U(1) gauged Friedberg-Lee-Sirlin model

Loiko

Shnir

2019

Physics Letters B

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We consider the U (1) gauged two-component Friedberg-Lee-Sirlin model in 3+1 dimensional Minkowski spacetime, which supports non-topological soliton configurations. Here we found families of axially-symmetric spinning gauged Q-balls, which possess both electric and magnetic fields. The coupling to the gauge sector gives rise to a new branch of solutions, which represent the soliton configuration coupled to a circular magnetic flux. Further, in superconducting phase this branch is linked to vorton type solutions which represent a vortex encircling the soliton. We discuss properties of these solutions and investigate their domains of existence. symmetry breaking potential. Interestingly, the Q-ball solutions of that model exist also in the limit of vanishing potential [7,8]. In such a case the real component of the coupled system becomes massless, it possess Coulomb-like asymptotic tail, the configuration is stabilized by the gradient terms in the energy functional.There has been a lot of interest in recent years in various aspects of Q-balls. In particular it was found that similar non-topological solitons appear in the curved space-time, the gravitational interaction may lead to gravitational collapse of the scalar field into the boson stars, which represent compact, stationary spinning configurations with a harmonic time dependence [9,10]. Certain types of boson stars with appropriate non-linear self-interaction are linked to the corresponding flat space solutions, which represent Q-balls [11][12][13][14][15][16]. It was suggested that these mini-boson stars may contribute to various scenario of the evolution of the early Universe [12,17,18]. Further, it was argued that these Q-balls may play an essential role in baryogenesis via the Affleck-Dine mechanism [19], they also were considered as candidates for dark matter [20].Notably, Q-ball configurations in the U (1)-gauged model of complex scalar field with minimal electromagnetic coupling was considered already in the second of the pioneering papers of Rosen [4]. Although Coleman expressed his doubts about possible existence of gauged Q balls [6], existence of the corresponding solitons was confirmed by various authors [21,22,[28][29][30][31][32][33]. Further, a possibility of generation of the magnetic field by the angularly excited Q-balls was discussed in [34].Indeed, in the simplest case the Q-balls are spherically symmetric, however there are generalized spinning axially symmetric solutions with non-zero angular momentum [13,35,36]. The energy and the charge density distributions of these rotating Q-balls represent a torus. An interesting aspect for such Q-balls is that there are two different types of the axially-symmetric solutions with opposite parity [13][14][15]35].Whereas various spherically symmetric U (1)-gauged Q-balls were investigated before, little is known about the properties of the corresponding axially symmetric configurations, which possess both electric and magnetic field. The main purpose of this work is to extend the consideration of pap...

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confidence: 66%

Q-balls in the U(1) gauged Friedberg-Lee-Sirlin model

Loiko

Shnir

2019

Physics Letters B

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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].…”

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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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“…Another direction of investigation into the MAP configurations is to study the configurations for large values of Higgs self-coupling constant λ by looking for higher energy branches of the solutions other than the fundamental branch which exist for all values of λ ≥ 0 as was done for the MAP [26], [27] and MAC [28], [29] solutions of the SU(2) Georgi-Glashow model. Similar bifurcations and transitions of higher energy branches of solutions may also occur in the Weinberg-Salam model.…”

Section: Commentsmentioning

confidence: 99%

MAP, MAC, and vortex-rings configurations in the Weinberg–Salam model

Teh

Wong

2015

Annals of Physics

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We report on the presence of new axially symmetric monopoles, antimonopoles and vortex-rings solutions of the SU(2)×U(1) Weinberg-Salam model of electromagnetic and weak interactions. When the φ-winding number n = 1, and 2, the configurations are monopole-antimonopole pair (MAP) and monopole-antimonopole chain (MAC) with poles of alternating sign magnetic charge arranged along the z-axis. Vortex-rings start to appear from the MAP and MAC configurations when the winding number n = 3. The MAP configurations possess zero net magnetic charge whereas the MAC configurations possess net magnetic charge of 4πn/e. In the MAP configurations, the monopole-antimonopole pair is bounded by the Z 0 field flux string and there is an electromagnetic current loop encircling it. The monopole and antimonopole possess magnetic charges ± 4πn e sin 2 θ W respectively. In the MAC configurations there is no string connecting the monopole and the adjacent antimonopole and they possess magnetic charges ± 4πn e respectively. The MAC configurations possess infinite total energy and zero magnetic dipole moment whereas the MAP configurations which are actually sphalerons possess finite total energy and magnetic dipole moment. The configurations were investigated for varying values of Higgs self-coupling constant 0 ≤ λ ≤ 40 at Weinberg angle θ W = π 4 . * To be submitted for publication † Permanent address from 30th March 2015 onwards: 48,

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Electrically charged bifurcating monopole-antimonopole pair and vortex-ring solutions

Cited by 10 publications

References 36 publications

Q-balls in the U(1) gauged Friedberg-Lee-Sirlin model

Q-balls in the U(1) gauged Friedberg-Lee-Sirlin model

Chains of boson stars

MAP, MAC, and vortex-rings configurations in the Weinberg–Salam model

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