Soliton solutions in three-space dimensions. Scalar field in interaction with the dirac field

1976 ◽  
Vol 17 (17) ◽  
pp. 575-581 ◽  
Author(s):  
J. Rafelski
Keyword(s):  
Scalar Field ◽  
Soliton Solutions ◽  
Dirac Field ◽  
Three Space

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

scholarly journals Quantum Vacuum Effects in Braneworlds on AdS Bulk

Universe ◽  
2020 ◽  
Vol 6 (10) ◽  
pp. 181
Author(s):  
Aram A. Saharian
Keyword(s):  
Boundary Condition ◽  
Scalar Field ◽  
Energy Momentum Tensor ◽  
Normal Component ◽  
Momentum Tensor ◽  
Dirac Field ◽  
Curvature Radius ◽  
Perfect Conductor ◽  
Quantum Vacuum ◽  
Local Properties

We review the results of investigations for brane-induced effects on the local properties of quantum vacuum in background of AdS spacetime. Two geometries are considered: a brane parallel to the AdS boundary and a brane intersecting the AdS boundary. For both cases, the contribution in the vacuum expectation value (VEV) of the energy–momentum tensor is separated explicitly and its behavior in various asymptotic regions of the parameters is studied. It is shown that the influence of the gravitational field on the local properties of the quantum vacuum is essential at distance from the brane larger than the AdS curvature radius. In the geometry with a brane parallel to the AdS boundary, the VEV of the energy–momentum tensor is considered for scalar field with the Robin boundary condition, for Dirac field with the bag boundary condition and for the electromagnetic field. In the latter case, two types of boundary conditions are discussed. The first one is a generalization of the perfect conductor boundary condition and the second one corresponds to the confining boundary condition used in QCD for gluons. For the geometry of a brane intersecting the AdS boundary, the case of a scalar field is considered. The corresponding energy–momentum tensor, apart from the diagonal components, has nonzero off-diagonal component. As a consequence of the latter, in addition to the normal component, the Casimir force acquires a component parallel to the brane.

scholarly journals DECAY OF SPIN-1/2 FIELD AROUND REISSNER–NORDSTROM BLACK HOLE

2004 ◽  
Vol 13 (06) ◽  
pp. 1105-1118 ◽  
Author(s):  
WEI ZHOU ◽  
JIAN-YANG ZHU
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Quantum Number ◽  
Turning Point ◽  
Quasinormal Modes ◽  
Astronomical Observation ◽  
Dirac Field ◽  
Neutrino Field ◽  
Extremal Limit ◽  
Field Decay

To find what influence the charge of the black hole Q will bring to the evolution of the quasinormal modes, we calculate the quasinormal frequencies of the neutrino field (charge e=0) perturbations and those of the massless Dirac field (e≠0) perturbations in the RN metric. The influences of Q, e, the momentum quantum number l, and the mode number n are discussed. Among the conclusions, the most important one is that, at the stage of quasinormal ringing, when the black hole and the field have the same kind of charge (eQ>0), the quasinormal modes of the massless charged Dirac field decay faster than those of the neutral ones, and when eQ<0, the massless charged Dirac field decays slower, which may be helpful in the astronomical observation. In addition, we compare the influence from the charge of the black hole to the spin 1/2 field and scalar field perturbations including the extremal limit (M=Q) and find a turning point of Q exists in both cases. The explanation of this fact is unclear with some suggestions that may be helpful are given.

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.

ABSORPTION CROSS-SECTION AND EMISSION SPECTRA OF SCHWARZSCHILD BLACK HOLE IN DIRAC FIELD

2008 ◽  
Vol 23 (33) ◽  
pp. 2867-2879 ◽  
Author(s):  
R. SINI ◽  
V. C. KURIAKOSE
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Cross Section ◽  
Absorption Cross Section ◽  
Emission Spectra ◽  
Dirac Field ◽  
Absorption Cross ◽  
Schwarzschild Black Hole ◽  
Matter Waves ◽  
Black Hole Spacetime

The behavior of a Dirac field in a Schwarzschild black hole spacetime is studied. In this work the Hawking temperature and the absorption cross-section for Schwarzschild black hole placed in Dirac field are calculated, taking into consideration the matter waves reflected from the event horizon. The absorption cross-section σ abs in Dirac field is found to be ⅛ of absorption cross-section in scalar field. The emission spectra of Schwarzschild black hole placed in an environment of Dirac field is also obtained.

DIRAC FIELD IN THE FIVE-DEMENSIONAL KALUZA-KLEIN THEORY WITH SCALAR FIELD

1992 ◽  
Vol 07 (21) ◽  
pp. 5105-5113 ◽  
Author(s):  
A. MACÍAS ◽  
H. DEHNEN
Keyword(s):  
Scalar Field ◽  
Dirac Equation ◽  
Ground State ◽  
Mass Term ◽  
Dirac Field ◽  
Electron Mass ◽  
Dimensional Theory ◽  
Klein Theory ◽  
Kaluza Klein

In this work we investigate the five-dimensional Kaluza-Klein theory with a scalar field contained in the metric, where a Dirac-field is coupled to the metric field. We find that in the four-dimensional theory a nontrivial ground state for the scalar field exists and therefore the mass term in the Dirac equation can be interpreted, for example, as the electron mass.

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.

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