Global topological<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>k</mml:mi></mml:math>-defects

Babichev, Eugeny

doi:10.1103/physrevd.74.085004

Cited by 172 publications

(231 citation statements)

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“…This method may not always give the Bogomolnyi equations easily, especially when the Lagrangian contains noncanonical terms, as in the case of k-defects [4][5][6][7][8][9][10]. Recently, two of us proposed an alternative in obtaining the first-order equations by directly evaluating the Euler-Lagrange equations, later dubbed the on-shell method [1].…”

Section: Introductionmentioning

confidence: 99%

More on Bogomol’nyi equations of three-dimensional generalized Maxwell-Higgs model using on-shell method

Atmaja

Ramadhan

Hora

2016

J. High Energ. Phys.

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Abstract:We use a recent on-shell method, developed in [1], to construct Bogomol'nyi equations of the three-dimensional generalized Maxwell-Higgs model [2]. The resulting Bogomol'nyi equations are parametrized by a constant C 0 and they can be classified into two types determined by the value of C 0 = 0 and C 0 = 0. We identify that the Bogomol'nyi equations obtained by Bazeia et al. [2] are of the (C 0 = 0)-type Bogomol'nyi equations. We show that the Bogomol'nyi equations of this type do not admit the Prasad-Sommerfield limit in its spectrum. As a resolution, the vacuum energy must be lifted up by adding some constant to the potential. Some possible solutions whose energy equal to the vacuum are discussed briefly. The on-shell method also reveals a new (C 0 = 0)-type Bogomol'nyi equations. This non-zero C 0 is related to a non-trivial function f C 0 defined as a difference between energy density of the scalar potential term and of the gauge kinetic term. It turns out that these Bogomol'nyi equations correspond to vortices with locally non-zero pressures, while their average pressure P remain zero globally by the finite energy constraint.

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Section: Introductionmentioning

confidence: 99%

More on Bogomol’nyi equations of three-dimensional generalized Maxwell-Higgs model using on-shell method

Atmaja

Ramadhan

Hora

2016

J. High Energ. Phys.

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“…On the other hand, the presence of scalar field models with non-standard dynamics has stimulated several recent investigations, dealing with properties of topological structures in this new scenario [6][7][8][9][10][11][12]. The main issue here is to change the scalar field dynamics from the standard one…”

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confidence: 99%

“…[5] and references therein. On the other hand, the presence of scalar field models with non-standard dynamics has stimulated several recent investigations, dealing with properties of topological structures in this new scenario [6][7][8][9][10][11][12]. The main issue here is to change the scalar field dynamics from the standard one to some generalized dynamics, also known as k-fields or f (X) models, with X = ∂ µ φ∂ µ φ, to accommodate some distinct possibilities, including the presence of compactons, e.g., of classical static solutions with compact support [13].…”

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confidence: 99%

“…In this sense, here we are giving the first step to learn how to bring braneworld with compact support to the supersymmetric environment. Evidently, the existence of structures of compact and non-compact support in k-field models in the presence of supersymmetry is of current interest, since they may contribute to modify the nature of the spacetime in such backgrounds [3][4][5][6][7][8][9][10][11][12]14].…”

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confidence: 99%

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Supersymmetric extensions of k-field models

2010

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We investigate the supersymmetric extension of k-field models, in which the scalar field is described by generalized dynamics. We illustrate some results with models that support static solutions with the standard kink or the compact profile. PACS numbers: 11.30.Pb, 11.27.+d Topological defects may have important consequences in a diversity of contexts, in particular in Cosmology, where they appear very naturally through the presence of phase transitions in the early universe [1]. As it is well-known, one of the simplest structures, domain walls, spring from the breaking of discrete symmetry, guided by scalar fields, which will be the main focus of the present work. In this case, in models describing spontaneous breaking of some discrete symmetry, the presence of topological defects in canonical models of scalar fields with standard dynamics, the equations of motion are shown to reduce to firstorder differential equations, with the model being nothing but the bosonic portion of some more general supersymmetric theory. One usually refers to this possibility as the first-order framework, where the topological defects appear as solutions of first-order equations as BPS states, named after the pioneer investigations of Bogomol'nyi, and Prasad and Sommerfield [2].With the recent discovery that the universe is evolving through an accelerated expansion, models described by scalar fields with non-standard dynamics are being studied in the cosmological context, for instance, as the so-called k-fields, first introduced in the context of inflation [3] and then as k-essence models, suggested to solve the cosmic coincidence problem [4]. We recall that k-inflation [3] has appeared as a way to reconcile the string dilaton with inflation. However, as one knows, supersymmetry is supposed to be unbroken at high energies, so it may affect the inflationary evolution. In this sense, supersymmetric extensions of k-field dynamics seem to be of current interest to the physics at high energy scales.The case of scalar fields with standard dynamics has been studied in several different contexts, and here we point out a diversity of investigations on the presence of domain walls in supergravity theories -see, e.g., Ref.[5] and references therein. On the other hand, the presence of scalar field models with non-standard dynamics has stimulated several recent investigations, dealing with properties of topological structures in this new scenario [6][7][8][9][10][11][12]. The main issue here is to change the scalar field dynamics from the standard one

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“…The k-field theory, in which the non-canonical kinetic terms are introduced in the Lagrangian, has been investigated in the inflation scenario and the cosmic coincidence problem. Another interesting application of k-field is topological defects, * Electronic address: kychz@shnu.edu.cn called k-defects [9]. Monopoles [10] and vortices [11] of tachyon field, which are examples of k-fields coming from string/M-theory, have also been studied.…”

Section: Introductionmentioning

confidence: 99%

Global monopole surrounded by quintessence-like matter

Zhai

2008

Physics Letters B

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We present new static spherically-symmetric solutions of Einstein equations with the quintessencelike matter surrounding a global monopole. These new solutions of the coupling scalar-Einstein equations are more complicated, which depend on the parameter of equation of state −1 < wq < − 1 3 . A gravitating global monopole produces a gravitational field of de Sitter kind outside the core in addition to a solid angular deficit. In the wq = − 1 3 case, we have proved that the solution cannot exist since the density of quintessence-like tends to zero if wq → − 1 3 . As a new feature, these monopoles have the outer horizon depending on both Goldstone field and quintessence-like. Since current observations constrain −1.14 < wq < −0.93, new global monopoles have interesting astrophysical applications.

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Global topologicalk-defects

Cited by 172 publications

References 21 publications

More on Bogomol’nyi equations of three-dimensional generalized Maxwell-Higgs model using on-shell method

More on Bogomol’nyi equations of three-dimensional generalized Maxwell-Higgs model using on-shell method

Supersymmetric extensions of k-field models

Global monopole surrounded by quintessence-like matter

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