Global Defects in Field Theory With Applications to Condensed Matter

Bazeia, D.; Menezes, J.; Menezes, R.

doi:10.1142/s0217984905008736

Cited by 19 publications

(32 citation statements)

References 42 publications

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“…The BPS formalism for some defects with radial symmetry constructed with a scalar field was introduced in refs. [54,55]. Recently, inspired in brane models with codimension-2, such study was extended for the case of two coupled scalar fields in (3, 1)-dimensions with the aim to investigate in absence of gravity resonances and localization of particles with spin-0 [56] and spin-1/2 [57] in axial symmetric topological defects.…”

Section: Jhep06(2015)135mentioning

confidence: 99%

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Trapping Spin-0 particles on p-balls in (D, 1) dimensions

Casana

Gomes

Simas

2015

J. High Energ. Phys.

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p-Balls are topological defects in (D, 1) dimensions constructed with M ≥ 1 scalar fields which depend radially on only 2 ≤ p ≤ D − 2 spatial dimensions. Such defects are characterized by an action that breaks translational invariance and are inspired on the physics of a brane with D − p extra dimensions. Here we consider the issue of localization of bosonic states described by a scalar field Φ sufficiently weak to not disturb sensibly the defect configuration. After describing the general formalism, we consider some specify examples with M = 1, 2 and 3, looking for some region of parameters where bound and resonant bosonic states can be found. We investigate the way the influence of the defect structure, number of radial dimensions and coupling between the fields are related to the occurrence of bound and resonant states.

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Section: Jhep06(2015)135mentioning

confidence: 99%

“…[54,55], initially motivated for avoiding the Derrick-Hobart's theorem [70]- [72]. We also suppose that the scalar fields φ i depend only on r.…”

Section: Jhep06(2015)135mentioning

confidence: 99%

Trapping Spin-0 particles on p-balls in (D, 1) dimensions

Casana

Gomes

Simas

2015

J. High Energ. Phys.

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“…Moreover, the action and the Lagrangian of the mechanical system respectively play the rôles of the energy functional and the energy density in the field theory, see (13). In sum, solitary waves or kinks are derived from stationary points of the functional energy (13) that comply with the asymptotic conditions (14).…”

Section: The Configuration Spacementioning

confidence: 99%

“…Applications of multi-component kinks to describe interesting physical systems abound in the literature, see [7][8][9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Generalized MSTB models: Structure and kink varieties

Izquierdo

Guilarte

2008

Physica D: Nonlinear Phenomena

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In this paper we describe the structure of a class of two-component scalar field models in a (1+1) Minkowskian space-time which generalize the well-known Montonen-Sarker-TrullingerBishop -hence MSTB-model. This class includes all the field models whose static field equations are equivalent to the Newton equations of two-dimensional type I Liouville mechanical systems with a discrete set of instability points. We offer a systematic procedure to characterize these models and to identify the solitary wave or kink solutions as homoclinic or heteroclinic trajectories in the analogous mechanical system. This procedure is applied to a one-parametric family of generalized MSTB models with a degree-eight polynomial as potential energy density.

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“…Thus, inspired by the physics of extra dimensions, in Section II we consider (2, 1)-dimensional ring-like topological defects [30,31] which are embedded in a (3, 1)-dimensional flat spacetime forming a tube-like topological defect. In Section III, we study some aspects of localization of fermionic fields in this system.…”

Section: Introductionmentioning

confidence: 99%

Trapping Dirac fermions in tubes generated by two scalar fields

et al. 2014

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In this work we consider (1, 1)−dimensional resonant Dirac fermionic states on tube-like topological defects. The defects are formed by rings in (2, 1) dimensions, constructed with two scalar field φ and χ, and embedded in the (3, 1)−dimensional Minkowski spacetime. The tube-like defects are attained from a lagrangian density explicitly dependent with the radial distance r relative to the ring axis and the radius and thickness of the its cross-section are related to the energy density. For our purposes we analyze a general Yukawa-like coupling between the topological defect and the fermionic field ηF (φ, χ)ψψ. With a convenient decomposition of the fermionic fields in left-and right-chiralities, we establish a coupled set of first order differential equations for the amplitudes of the left-and right-components of the Dirac field. After decoupling and decomposing the amplitudes in polar coordinates, the radial modes satisfy Schrödinger-like equations whose eigenvalues are the masses of the fermionic resonances. With F (φ, χ) = φχ the Schrödinger-like equations are numerically solved with appropriated boundary conditions. Several resonance peaks for both chiralities are obtained, and the results are confronted with the qualitative analysis of the Schrödinger-like potentials.

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Global Defects in Field Theory With Applications to Condensed Matter

Cited by 19 publications

References 42 publications

Trapping Spin-0 particles on p-balls in (D, 1) dimensions

Trapping Spin-0 particles on p-balls in (D, 1) dimensions

Generalized MSTB models: Structure and kink varieties

Trapping Dirac fermions in tubes generated by two scalar fields

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