Soliton Dynamics in a Novel Discrete O(3) Sigma Model in.
Abstract. The O (3) sigma model in two spatial dimensions admits topological (Bogomol’nyi) lower bound on its energy. This paper proposes a lattice version of this system which.
Abstract Topological solitons often satisfy Bogomol'nyi bounds, relating their energy and topological charge. We present a general argument explaining why such bounds exist. We also explain why solitons which saturate such bounds satisfy first-order Bogomol'nyi equations, and we give a procedure for obtaining those Bogomol'nyi equations.
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The Lee-Weinberg U (1) magnetic monopoles, which have been reinterpreted as topological solitons of a certain non-Abelian gauged Higgs model recently, are considered for some specific choice of Higgs couplings. The model under consideration is shown to admit a Bogomol'nyi-type bound which is saturated by the configurations satisfying the generalized BPS equations.
In recent work a multimonopole solution of heterotic string theory was obtained. The monopoles are noted to be stable, in contrast with analogous solutions of Einstein-Maxwell or Yang-Mills-dilaton theory.
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Then, the condition allows writing the energy in the Bogomol’nyi form, Under suitable boundary conditions, the integration of the total derivative in gives null contribution to the energy. Hence, it becomes clear that the energy possesses a lower bound with being the total magnetic flux. Such a lower bound is saturated when the fields satisfy.
Bogomol'nyi-Prasad-Sommerfield bound is a series of inequalities for solutions. This set of inequalities is useful for solving for solution equations. Asked in Essays.
In this work, we identify the manifold of solitary waves arising in a three-component scalar field model using the Bogomol'nyi arrangement of the energy functional. A rich structure of topological and non-topological kinks exists in the different sub-models contained in the theory.
In this work we identify the manifold of solitary waves arising in a three-component scalar field model using the Bogomol’nyi arrangement of the energy functional. A rich structure of topological and non-topological kinks exists in the different sub-models contained in the theory.
CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): The early Universe might have undergone phase transitions at energy scales much higher than the one corresponding to the Grand Unified Theories (GUT) scales. At these higher energy scales, the transition at which gravity separated from all other interactions; the socalled Planck era, more massive strings called.
