scholarly journals SELF-DUAL VORTICES IN THE ABELIAN CHERN–SIMONS MODEL WITH TWO COMPLEX SCALAR FIELDS

2008 ◽  
Vol 23 (26) ◽  
pp. 2189-2198 ◽  
Author(s):  
YI-SHI DUAN ◽  
LI-DA ZHANG ◽  
YU-XIAO LIU
Keyword(s):  
Angular Momentum ◽  
Scalar Field ◽  
Field Model ◽  
Current Method ◽  
Scalar Fields ◽  
The Self ◽  
Complex Scalar ◽  
Topological Current ◽  
Chern Simons ◽  
Topological Term

Making use of ϕ-mapping topological current method, we discuss the self-dual vortices in the Abelian Chern–Simons model with two complex scalar fields. For each scalar field, an exact nontrivial equation with a topological term which is missing in many references is derived analytically. The general angular momentum is obtained. The magnetic flux which relates the two scalar fields is calculated. Furthermore, we investigate the vortex evolution processes, and find that because of the presence of the vortex molecule, these evolution processes are more complicated than the vortex evolution processes in the corresponding single scalar field model.

scholarly journals A General Method for Transforming Nonphysical Configurations in BPS States

2019 ◽  
Vol 2019 ◽  
pp. 1-11
Author(s):  
J. R. L. Santos ◽  
A. de Souza Dutra ◽  
O. C. Winter ◽  
R. A. C. Correa
Keyword(s):  
Scalar Field ◽  
Condensed Matter ◽  
Equations Of Motion ◽  
Cosmological Parameters ◽  
Topological Defects ◽  
Scalar Fields ◽  
Complex Scalar ◽  
Complex Scalar Field ◽  
Bps States ◽  
General Method

In this work, we apply the so-called BPS method in order to obtain topological defects for a complex scalar field Lagrangian introduced by Trullinger and Subbaswamy. The BPS approach led us to compute new analytical solutions for this model. In our investigation, we found analytical configurations which satisfy the BPS first-order differential equations but do not obey the equations of motion of the model. Such defects were named nonphysical ones. In order to recover the physical meaning of these defects, we proposed a procedure which can transform them into BPS states of new scalar field models. The new models here founded were applied in the context of hybrid cosmological scenarios, where we derived cosmological parameters compatible with the observed Universe. Such a methodology opens a new window to connect different two scalar fields systems and can be implemented in several distinct applications such as Bloch Branes, Lorentz and Symmetry Breaking Scenarios, Q-Balls, Oscillons, Cosmological Contexts, and Condensed Matter Systems.

scholarly journals Critical Collapse of a Complex Scalar Field with Angular Momentum

2004 ◽  
Vol 93 (13) ◽  
Author(s):  
Matthew W. Choptuik ◽  
Eric W. Hirschmann ◽  
Steven L. Liebling ◽  
Frans Pretorius
Keyword(s):  
Angular Momentum ◽  
Scalar Field ◽  
Complex Scalar ◽  
Complex Scalar Field

scholarly journals Unruh-DeWitt detector responses for complex scalar fields in de Sitter spacetime

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Md Sabir Ali ◽  
Sourav Bhattacharya ◽  
Kinjalk Lochan
Keyword(s):  
Scalar Field ◽  
Response Function ◽  
Scalar Fields ◽  
Detector Response ◽  
Massless Scalar Field ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Complex Scalar ◽  
Sitter Spacetime ◽  
Complex Scalar Field

Abstract We derive the response function for a comoving, pointlike Unruh-DeWitt particle detector coupled to a complex scalar field ϕ, in the (3 + 1)-dimensional cosmological de Sitter spacetime. The field-detector coupling is taken to be proportional to ϕ†ϕ. We address both conformally invariant and massless minimally coupled scalar field theories, respectively in the conformal and the Bunch-Davies vacuum. The response function integral for the massless minimal complex scalar, not surprisingly, shows divergences and accordingly we use suitable regularisation scheme to find out well behaved results. The regularised result also contains a de Sitter symmetry breaking logarithm, growing with the cosmological time. Possibility of extension of these results with the so called de Sitter α-vacua is discussed. While we find no apparent problem in computing the response function for a real scalar in these vacua, a complex scalar field is shown to contain some possible ambiguities in the detector response. The case of the minimal and nearly massless scalar field theory is also briefly discussed.

scholarly journals Partially massless theory in three dimensions and self-dual massive gravity

2018 ◽  
Vol 33 (12) ◽  
pp. 1850067 ◽  
Author(s):  
Daniel Galviz ◽  
Adel Khoudeir
Keyword(s):  
Scalar Field ◽  
Physical System ◽  
Higher Dimensions ◽  
Massive Gravity ◽  
Degree Of Freedom ◽  
The Self ◽  
Three Dimensions ◽  
Massless Theory ◽  
Chern Simons ◽  
Topologically Massive Gravity

Partially massless theory in three dimensions is revisited and its relationship with the self-dual massive gravity is considered. The only mode of the partially massless theory is shown explicitly through an action for a scalar field on (A)dS background. This fact can be generalized to higher dimensions. This degree of freedom is altered when a triadic Chern–Simons is introduced, giving rise to the self-dual massive gravity on (A)dS background. We present another physical system with partially massless symmetry and its connection with topologically massive gravity is discussed.

scholarly journals COSMOLOGICAL MODEL OF INTERACTING TACHYON FIELD

2012 ◽  
Vol 27 (17) ◽  
pp. 1250086 ◽  
Author(s):  
V. K. SHCHIGOLEV ◽  
M. P. ROTOVA
Keyword(s):  
Exact Solution ◽  
Scalar Field ◽  
Cosmological Model ◽  
Energy Flow ◽  
Field Model ◽  
Scalar Fields ◽  
Tachyon Field ◽  
First Order ◽  
Different Types ◽  
Phantom Fields

In this paper we investigate a tachyon field model in cosmology, provided its interaction with the quintessence or phantom fields. The model takes into account this interaction beyond the usual approach, in which the interaction is phenomenologically described by the energy flow between the matter components. In our model, the interaction of tachyon field with a canonical scalar field is taken into account through the interaction potential in the total Lagrangian of the system, like in the case of two or more canonical scalar fields. We obtain the different types of exact solution for the model by employing the so-called "first order formalism" procedures.

scholarly journals ON THE TRANSITION FROM COMPLEX TO REAL SCALAR FIELDS IN MODERN COSMOLOGY

2011 ◽  
Vol 08 (08) ◽  
pp. 1815-1832 ◽  
Author(s):  
GIAMPIERO ESPOSITO ◽  
RAJU ROYCHOWDHURY ◽  
CLAUDIO RUBANO ◽  
PAOLO SCUDELLARO
Keyword(s):  
Dark Energy ◽  
Scalar Field ◽  
Scalar Fields ◽  
Complex Nature ◽  
Complex Scalar ◽  
Real Scalar ◽  
Symmetry Approach ◽  
Modern Cosmology ◽  
Complex Scalar Field ◽  
The Universe

We study some problems arising from the introduction of a complex scalar field in cosmology, modeling its possible behaviors in both the inflationary and dark energy stages of the universe. Such examples contribute to show that, while the complex nature of the scalar field can be indeed important during inflation, it loses its meaning in the later dark-energy dominated era of cosmology, when the phase of the complex field is practically constant, and there is indeed a transition from complex to real scalar field. In our considerations, the Noether symmetry approach turns out to be a useful tool once again. We arrive eventually at a potential containing the sixth and fourth powers of the scalar field, and the resulting semiclassical quantum cosmology is studied to gain a better understanding of the inflationary stage.

Self-Duality Condition and Critical Potentials

1997 ◽  
Vol 52 (1-2) ◽  
pp. 147-148
Author(s):  
C. Cronström ◽  
Prem P. Srivastava ◽  
K. Tanaka
Keyword(s):  
Scalar Field ◽  
Gauge Group ◽  
Linear Models ◽  
Equations Of Motion ◽  
Energy Functional ◽  
Two Dimensions ◽  
The Self ◽  
Self Duality ◽  
Non Linear ◽  
Chern Simons

Abstract It is shown that the self-duality constraint on the scalar field (combined with the equations of motion) by itself leads to the critical forms for the potential that minimizes the energy functional in the Chern-Simons-Higgs (CSH) system. If we have only the Chern-Simons (CS) term in the SL (2, R) gauge group one obtains a formalism that yields the equations of motion of a variety on non-linear models in two dimensions when the curvature is set equal to zero.

scholarly journals On the spherically symmetric Einstein–Yang–Mills–Higgs equations in Bondi coordinates

2012 ◽  
Vol 468 (2146) ◽  
pp. 3191-3214 ◽  
Author(s):  
Calvin Tadmon ◽  
Sophonie Blaise Tchapnda
Keyword(s):  
Scalar Field ◽  
Interaction Potential ◽  
Global Solutions ◽  
Scalar Fields ◽  
The Self ◽  
Spherically Symmetric ◽  
Yang Mills ◽  
Local Charge

We revisit and generalize, to the Einstein–Yang–Mills–Higgs (EYMH) system, previous results of Christodoulou and Chae concerning global solutions for the Einstein-scalar field and the Einstein–Maxwell–Higgs (EMH) equations. The novelty of the present work is twofold. For one thing, the assumption on the self-interaction potential is improved. For another thing, explanation is furnished why the solutions obtained here and those proved by Chae for the EMH system decay more slowly than those established by Christodoulou in the case of self-gravitating scalar fields. Actually, this latter phenomenon stems from the non-vanishing local charge in EMH and EYMH models.

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