Class of scalar-field soliton solutions in three space dimensions

1976 ◽  
Vol 13 (10) ◽  
pp. 2739-2761 ◽  
Author(s):  
R. Friedberg ◽  
T. D. Lee ◽  
A. Sirlin
Keyword(s):  
Scalar Field ◽  
Soliton Solutions ◽  
Three Space

Class of scalar-field soliton solutions in three space dimensions

1986 ◽  
pp. 693-715
Author(s):  
R. Friedberg ◽  
T. D. Lee ◽  
A. Sirlin
Keyword(s):  
Scalar Field ◽  
Soliton Solutions ◽  
Three Space

NON-TOPOLOGICAL SOLITON SOLUTIONS FOR A DILATON TYPE POTENTIAL

1993 ◽  
Vol 08 (07) ◽  
pp. 667-674
Author(s):  
N. MEENAKUMARI ◽  
M. RAJASEKARAN
Keyword(s):  
Scalar Field ◽  
Interaction Potential ◽  
Dimensionless Parameter ◽  
Soliton Solutions ◽  
Dilaton Field ◽  
Topological Soliton ◽  
Lattice Gauge ◽  
Experimental Values ◽  
Type Potential ◽  
Good Agreement

We consider a scalar field Lagrangian with a self interaction potential which is similar in spirit to the dilaton field Lagrangian and we investigate the solitonic solutions of such a potential. The form of the potential and the parameter σ vac , are in good agreement with the values that would reproduce the lattice gauge results, rather accurately. Using this, the soliton bag solutions are obtained and the isolated hadronic properties are investigated. The calculated values of the dimensionless parameter gA/gV and the bag radius R are found to agree very well with the experimental values and the hadronic mass is found to be quite high.

SOLITONS IN TWO-DIMENSIONAL ANTI-DE SITTER SPACE

2010 ◽  
Vol 25 (02n03) ◽  
pp. 289-299
Author(s):  
TONNIS TER VELDHUIS
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Soliton Solution ◽  
Quantum Correction ◽  
Soliton Solutions ◽  
Two Dimensional ◽  
De Sitter ◽  
Fluctuation Spectrum ◽  
Background Space ◽  
The One

Soliton solutions in a scalar field theory defined on an AdS1+1 background space-time are investigated. An analytic soliton solution is obtained in a polynomial model, and the classical soliton mass is calculated. The fluctuation spectrum around the soliton solution is determined, and the one-loop quantum correction to the soliton mass is computed in the semi-classical approximation.

scholarly journals Soliton, breather and shockwave solutions of the Heisenberg and the $$ T\overline{T} $$ deformations of scalar field theories in 1+1 dimensions

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Horatiu Nastase ◽  
Jacob Sonnenschein
Keyword(s):  
Scalar Field ◽  
Soliton Solutions ◽  
High Energy ◽  
Field Theories ◽  
Two Dimensional ◽  
Canonical Scalar Field

Abstract In this note we study soliton, breather and shockwave solutions in certain two dimensional field theories. These include: (i) Heisenberg’s model suggested originally to describe the scattering of high energy nucleons (ii) $$ T\overline{T} $$ T T ¯ deformations of certain canonical scalar field theories with a potential. We find explicit soliton solutions of these models with sine-Gordon and Higgs-type potentials. We prove that the $$ T\overline{T} $$ T T ¯ deformation of a theory of a given potential does not correct the mass of the soliton of the undeformed one. We further conjecture the form of breather solutions of these models. We show that certain $$ T\overline{T} $$ T T ¯ deformed actions admit shockwave solutions that generalize those of Heisenberg’s Lagrangian.

Traveling Wave Exact Solutions for Nonlinear Coupled Scalar Field Equations

2011 ◽  
Vol 284-286 ◽  
pp. 2053-2056
Author(s):  
Dong Bo Cao ◽  
Jia Ren Yan
Keyword(s):  
Scalar Field ◽  
Traveling Wave ◽  
Soliton Solutions ◽  
Traveling Wave Solutions ◽  
Trigonometric Function ◽  
Field Equations ◽  
Transform Method ◽  
Wave Solutions ◽  
Trigonometric Function Solutions ◽  
Scalar Field Equations

In the present paper, with the aid of symbolic computation, the nonlinear coupled scalar field equations relevant to materials physics are investigated by using the trigonometric function transform method. More exact traveling wave solutions are obtained for nonlinear coupled scalar field equations. The solutions obtained in this paper include four kinds of soliton solutions and four kinds of trigonometric function solutions.

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