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We study the stability of topological structures in generalized models with a single real scalar field. We show that it is driven by a Sturm-Liouville equation and investigate the conditions that lead to the existence of explicit…

High Energy Physics - Theory · Physics 2019-12-12 I. Andrade , M. A. Marques , R. Menezes

We study a self-interacting scalar field theory coupled to gravity and are interested in spherically symmetric solutions with a regular origin surrounded by a horizon. For a scalar potential containing a barrier, and using the most general…

High Energy Physics - Theory · Physics 2021-08-11 George Lavrelashvili , Jean-Luc Lehners , Marc Schneider

We extend a deformation prescription recently introduced and present some new soluble nonlinear problems for kinks and lumps. In particular, we show how to generate models which present the basic ingredients needed to give rise to…

High Energy Physics - Theory · Physics 2007-05-23 C. A. Almeida , D. Bazeia , L. Losano , J. M. C. Malbouisson

The description of quantum field systems with meta-stable vacuum is motivated by studies of many physical problems (the decay of disoriented chiral condensate, the resonant decay of CP-odd meta-stable states, self-consistent model of QGP…

High Energy Physics - Theory · Physics 2007-05-23 S. A. Smolyansky , V. V. Skokov , A. V. Prozorkevich

In this work we study kinklike structures, which are localized solutions that appear in models described by real scalar fields. The model to be considered is characterized by two real scalar fields and includes a function of one of the two…

High Energy Physics - Theory · Physics 2020-05-07 D. Bazeia , M. A. Liao , M. A. Marques

In this work we investigate the presence of scalar field models supporting kink solutions with logarithmic tails, which we call super long-range structures. We first consider models with a single real scalar field and associate the…

High Energy Physics - Theory · Physics 2025-01-29 I. Andrade , M. A. Marques , R. Menezes

We investigate the presence of static solutions in models described by real scalar field in two-dimensional spacetime. After taking advantage of a procedure introduced sometime ago, we solve intricate nonlinear ordinary differential…

High Energy Physics - Theory · Physics 2014-09-25 D. Bazeia , L. Losano , M. A. Marques , R. Menezes

In this work, a possible description for quantum dynamics of the cuscuton within the sigma-model approach is presented. Lower order perturbative corrections and the structure of divergences are found. Motivated by the results generated by…

High Energy Physics - Theory · Physics 2022-03-09 F. C. E. Lima , A. Yu. Petrov , C. A. S. Almeida

The past few years have seen a revived interest in quantum geometrical characterizations of band structures due to the rapid development of topological insulators and semi-metals. Although the metric tensor has been connected to many…

Mesoscale and Nanoscale Physics · Physics 2023-03-07 Adrien Bouhon , Abigail Timmel , Robert-Jan Slager

Polymer quantum mechanics has been studied as a simplified picture that reflects some of the key properties of Loop Quantum Gravity; however, while the fate of relativistic symmetries in Loop Quantum Gravity is still not established, it is…

General Relativity and Quantum Cosmology · Physics 2017-12-06 Giovanni Amelino-Camelia , Michele Arzano , Malú Maira Da Silva , Daniel H. Orozco-Borunda

These notes review a description of quantum mechanics in terms of the topology of spaces, basing on the axioms of Topological Quantum Field Theory and path integral formalism. In this description quantum states and operators are encoded by…

Quantum Physics · Physics 2025-07-29 Dmitry Melnikov

In this work we study models described by a single real scalar field in two-dimensional space-time, using the deformation procedure to propose and investigate new families of models and their kink solutions.

High Energy Physics - Theory · Physics 2013-08-20 D. Bazeia , M. A. González León , L. Losano , J. Mateos Guilarte , J. R. L. Santos

This work deals with the presence of defect structures in models described by real scalar field in a diversity of scenarios. The defect structures which we consider are static solutions of the equations of motion which depend on a single…

High Energy Physics - Theory · Physics 2011-08-12 D. Bazeia , J. D. Dantas , A. R. Gomes , L. Losano , R. Menezes

In this work we study the presence of kinks in models described by a single real scalar field in bidimensional spacetime. We work within the first-order framework, and we show how to write first-order differential equations that solve the…

High Energy Physics - Theory · Physics 2011-12-20 D. Bazeia , R. Menezes

The paper is continuation of [6] where we have discussed some classical and quantization problems of rigid bodies of infinitesimal size moving in Riemannian spaces. Strictly speaking, we have considered oscillatory dynamical models on…

Mathematical Physics · Physics 2024-09-17 Agnieszka Martens

We investigate the presence of non-topological solutions of the Q-ball type in (1, 1) spacetime dimensions. The model engenders the global U(1) symmetry and is of the k-field type, since it contains a new term, of the fourth-order power in…

High Energy Physics - Theory · Physics 2017-02-01 D. Bazeia , L. Losano , M. A. Marques , R. Menezes

Oscillons are time-dependent, localized in space, extremely long-lived states in nonlinear scalar-field models, while kinks are topological solitons in one spatial dimension. In the present work, we show new classes of oscillons and…

High Energy Physics - Theory · Physics 2020-01-08 R. A. C. Correa , A. de Souza Dutra , T. Frederico , Boris A. Malomed , O. Oliveira , N. Sawado

In this work we report a new result that appears when one investigates the route that starts from a scalar field theory and ends on a supersymmetric quantum mechanics. The subject has been studied before in several distinct ways and here we…

High Energy Physics - Theory · Physics 2017-04-06 D. Bazeia , F. S. Bemfica

We advocate that the dual picture of spacetime noncommutativity , i.e. the existence of a curved momentum space, could be a way out to solve some of the open conceptual problems in the field, such as the basis dependence of observables. In…

General Physics · Physics 2025-12-10 S. A. Franchino-Viñas

For decades, a lot of work has been devoted to the problem of constructing a non-trivial quantum field theory in four-dimensional space time. This letter addresses the attempts to construct an algebraic quantum field theory in the framework…

High Energy Physics - Theory · Physics 2019-04-12 Andreas Aste