New results on compact structures

Bazeia, D.; Losano, L.; Menezes, R.

doi:10.1016/j.physletb.2014.02.056

Cited by 21 publications

(35 citation statements)

References 68 publications

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“…Also, there is an uncountable number of (non localized) states with energy E ≥ 4. An alternative to obtain compact kinks through the scalar field model involves a change in the kinematic term of the Lagrange density [16][17][18] …”

Section: From Kinks To Compactonsmentioning

confidence: 99%

“…Under specific conditions, another kind of kink-like defect, called compacton, appears in models with generalized kinematics that include a nonlinear dispersion [13][14][15][16][17][18][19][20]. These structures are nontrivial configurations with compact support, and have been studied in distinct contexts in [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

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High temperature effects on compact-like structures

Bazeia¹,

Lima²,

Losano³

2016

Eur. Phys. J. C

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In this work we investigate the transition from kinks to compactons at high temperatures. We deal with a family of models, described by a real scalar field with standard kinematics, controlled by a single parameter, real and positive. The family of models supports kink-like solutions, and the solutions tend to become compact when the parameter increases to larger and larger values. We study the oneloop corrections at finite temperature, to see how the thermal effects add to the effective potential. The results suggest that the symmetry is restored at very high temperatures.

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Section: From Kinks To Compactonsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

High temperature effects on compact-like structures

Bazeia¹,

Lima²,

Losano³

2016

Eur. Phys. J. C

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“…where W i(0) = 0 a / 1 +^arcsin(0) (15) and W^ = dWjdcp. PHYSICAL REVIEW D 91, 047701 (2015) For the second model, described by C2, we get…”

Section: Classical Solutionsmentioning

confidence: 99%

“…[13,14], and they are spacelike structures similar to kinks; see, e.g., Ref. [15] for a recent study on compactons.…”

Section: Introductionmentioning

confidence: 99%

Note on quantum compactons

Bazeia

Vassilevich

2015

Phys. Rev. D

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Compactons are solutions of the equations of motion that behave trivially outside a compact region. In general, the operators describing quantum fluctuations above compactons have singularities. However, we show that despite these singularities, the quantum theory is well defined. As an example, we calculate the one-loop mass shift of a compacton in a model described by a single real scalar field.

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“…To achieve these goals we establish a first-order framework that simplifies the equations of motion, in a way compatible with the description given by Bogomolnyi-Prasad-Sommerfeld (BPS) [29]. We adopt the deformation procedure [30] developed to help us to search for exact solutions in systems with generalized dynamics [19]. This method has been successful in providing results concerning the presence of analytical solutions for physical problems engendering nonlinear dispersion [19] and so it will be useful here.…”

Section: Introductionmentioning

confidence: 99%

Kinklike structures in models of the Dirac–Born–Infeld type

2018

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The present work investigates several models of a single real scalar field, engendering kinetic term of the Dirac-Born-Infeld type. Such theories introduce nonlinearities to the kinetic part of the Lagrangian, which presents a square root restricting the field evolution and including additional powers in derivatives of the scalar field, controlled by a real parameter. In order to obtain topological solutions analytically, we propose a first-order framework that simplifies the equation of motion ensuring solutions that are linearly stable. This is implemented using the deformation method, and we introduce examples presenting two categories of potentials, one having polynomial interactions and the other with nonpolynomial interactions. We also explore how the Dirac-Born-Infeld kinetic term affects the properties of the solutions. In particular, we note that the kinklike solutions are similar to the ones obtained through models with standard kinetic term and canonical potential, but their energy densities and stability potentials vary according to the parameter introduced to control the new models.

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New results on compact structures

Cited by 21 publications

References 68 publications

High temperature effects on compact-like structures

High temperature effects on compact-like structures

Note on quantum compactons

Kinklike structures in models of the Dirac–Born–Infeld type

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