A study on relativistic lagrangian field theories with non-topological soliton solutions

Abstract

We perform a general analysis of the dynamic structure of two classes of relativistic lagrangian field theories exhibiting static spherically symmetric non-topological soliton solutions. The analysis is concerned with (multi-) scalar fields and generalized gauge fields of compact semi-simple Lie groups. The lagrangian densities governing the dynamics of the (multi-) scalar fields are assumed to be general functions of the kinetic terms, whereas the gauge-invariant lagrangians are general functions of the field invariants. These functions are constrained by requirements of regularity, positivity of the energy and vanishing of the vacuum energy, defining what we call "admissible" models. In the scalar case we establish the general conditions which determine exhaustively the families of admissible lagrangian models supporting this kind of finite-energy solutions. We analyze some explicit examples of these different families, which are defined by the asymptotic and central behaviour of the fields of the corresponding particle-like solutions. From the variational analysis of the energy functional, we show that the admissibility constraints and the finiteness of the energy of the scalar solitons are necessary and sufficient conditions for their linear static stability against small charge-preserving perturbations. Furthermore we perform a general spectral analysis of the dynamic evolution of the small perturbations around the statically stable solitons, establishing their dynamic stability. Next, we consider the case of many-components scalar fields, showing that the resolution of the particle-like field problem in this case reduces to that of the one-component case. The study of these scalar models is a necessary step in the analysis of the gauge fields.

arXiv commentLaTeX (uses elsart.cls), 57 pages, 9 Postscript figures, final version to appear in Annals of Physics, some minor corrections added

References in corpus (34)

• k-Inflation
• Essentials of k-essence
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• Bound States Of Strings And $p$-Branes
• Knots and Particles
• On non-abelian generalisation of Born-Infeld action in string theory
• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• Non-Singular Charged Black Hole Solution for Non-Linear Source
• Partially Dual variables in SU(2) Yang-Mills Theory
• Cosmological consequences of MSSM flat directions
• Interacting Chiral Gauge Fields in Six Dimensions and Born-Infeld Theory
• Born-Infeld Theory and Stringy Causality
• Q-ball candidates for self-interacting dark matter
• Haloes of k-Essence
• Exact static soliton solutions of 3+1 dimensional integrable theory with nonzero Hopf numbers
• BPS States of the Non-Abelian Born-Infeld Action
• A Unified Approach to High Density: Pion Fluctuations in Skyrmion Matter
• Non-Abelian Born--Infeld cosmology
• Toroidal solitons in 3+1 dimensional integrable theories
• Towards a string representation of infrared SU(2) Yang-Mills theory
• Vector Mesons and Dence Skyrmion Matter
• Classical glueballs in non-Abelian Born-Infeld theory
• Non-Linear Electrodynamics in Curved Backgrounds
• Bogomol'nyi Equations for Vortices in Born-Infeld-Higgs Systems
• Sliding Vacua in Dense Skyrmion Matter
• Dark Energy as a Born-Infeld Gauge Interaction Violating the Equivalence Principle
• Non-Abelian Einstein-Born-Infeld-Dilaton Cosmology
• Investigation of the Nicole model
• Non-Abelian generalization of Born-Infeld theory inspired by non-commutative geometry
• Solitons and black holes in non-Abelian Einstein-Born-Infeld theory
• Chiral Born-Infeld Theory: topological spherically symmetrical solitons
• MHD of rotating compact stars with spectral methods: description of the algorithm and tests
• Generalized gauge field theories with non-topological soliton solutions
• Non-topological solitons in field theories with kinetic self-coupling

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• Nonsingular electrovacuum solutions with dynamically generated cosmological constant
• Compact shell solitons in K field theories
• Structure and thermodynamics of charged nonrotating black holes in higher dimensions
• Black holes from generalized gauge field theories
• Introducing a Relativistic Nonlinear Field System With a Single Stable Non-Topological Soliton Solution in 1+1 Dimensions
• Faster-Than-Light Solitons in 1 + 1 Dimensions