scholarly journals Analytical BPS Maxwell-Higgs Vortices

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
R. Casana ◽  
M. M. Ferreira ◽  
E. da Hora ◽  
C. dos Santos
Keyword(s):  
Scalar Field ◽  
Energy Density ◽  
Analytical Methods ◽  
Finite Energy ◽  
Higgs Potential ◽  
Axially Symmetric ◽  
Topological Solitons ◽  
Natural Constraint ◽  
Vortex Solutions ◽  
Positive Functions

We have established a prescription for the calculation of analytical vortex solutions in the context of generalized Maxwell-Higgs models whose overall dynamics is controlled by two positive functions of the scalar field, namely,fϕandwϕ. We have also determined a natural constraint between these functions and the Higgs potentialUϕ, allowing the existence of axially symmetric Bogomol'nyi-Prasad-Sommerfield (BPS) solutions possessing finite energy. Furthermore, when the generalizing functions are chosen suitably, the nonstandard BPS equations can be solved exactly. We have studied some examples, comparing them with the usual Abrikosov-Nielsen-Olesen (ANO) solution. The overall conclusion is that the analytical self-dual vortices are well-behaved in all relevant sectors, strongly supporting the consistency of the respective generalized models. In particular, our results mimic well-known properties of the usual (numerical) configurations, as localized energy density, while contributing to the understanding of topological solitons and their description by means of analytical methods.

scholarly journals BOGOMOL’NYI EQUATIONS FOR VORTICES IN BORN-INFELD HIGGS SYSTEMS

1991 ◽  
Vol 06 (15) ◽  
pp. 2635-2647 ◽  
Author(s):  
KIYOSHI SHIRAISHI ◽  
SATORU HIRENZAKI
Keyword(s):  
Scalar Field ◽  
Nonlinear Interaction ◽  
Specific Form ◽  
Higgs Potential ◽  
Supersymmetric Extension ◽  
Complex Scalar ◽  
Vortex Solutions ◽  
Complex Scalar Field ◽  
Higgs Fields

We study vortex solutions in the Born-Infeld theory coupled with a complex scalar field. We show that for a specific form of the “Higgs” potential the vortex satisfies a set of Bogomol’nyi-type equations. Another model, with nonlinear interaction between gauge and Higgs fields, is also considered. We show how it is derived from a supersymmetric extension of the Born-Infeld theory with a minimally coupled complex scalar field.

scholarly journals Dynamics of O(N) chiral supersymmetry at finite energy density

2001 ◽  
Vol 520 (3-4) ◽  
pp. 317-321 ◽  
Author(s):  
J. Baacke ◽  
D. Cormier ◽  
H.J. de Vega ◽  
K. Heitmann
Keyword(s):  
Energy Density ◽  
Finite Energy

Research on a complete model of cosmological evolution a classical scalar field with a Higgs potential. II. Numerical simulation

2021 ◽  
pp. 147-151
Author(s):  
Yu.G. Ignat’ev ◽  
◽  
A.R. Samigullina ◽  
Keyword(s):  
Numerical Simulation ◽  
Computer Simulation ◽  
Scalar Field ◽  
Initial Conditions ◽  
Higgs Field ◽  
Hubble Constant ◽  
Cosmological Evolution ◽  
Higgs Potential ◽  
Complete Model ◽  
Expansion Stage

A study and computer simulation of a complete model of the cosmological evolution of a classical scalar field with a Higgs potential is carried out without the assumption that the Hubble constant is nonnegative. It is shown that in most cases of initial conditions the cosmological model passes from the expansion stage to the compression stage. Thus, cosmological models based on the classical Higgs field are unstable with respect to finite perturbations.

scholarly journals Generalized hydrodynamics regime from the thermodynamic bootstrap program

2020 ◽  
Vol 8 (1) ◽  
Author(s):  
Axel Cortes Cubero ◽  
Milosz Panfil
Keyword(s):  
Energy Density ◽  
Correlation Functions ◽  
Form Factors ◽  
Finite Energy ◽  
Axiomatic Approach ◽  
Field Theories ◽  
Relativistic Field ◽  
Generalized Hydrodynamics ◽  
Quantum Integrable Models ◽  
Integrable Field

Within the generalized hydrodynamics (GHD) formalism for quantum integrable models, it is possible to compute simple expressions for a number of correlation functions at the Eulerian scale. Specializing to integrable relativistic field theories, we show the same correlators can be computed as a sum over form factors, the GHD regime corresponding to the leading contribution with one particle-hole pair on a finite energy-density background. The thermodynamic bootstrap program (TBP) formalism was recently introduced as an axiomatic approach to computing such finite-energy-density form factors for integrable field theories. We derive a new axiom within the TBP formalism from which we easily recover the predicted GHD Eulerian correlators. We also compute higher form factor contributions, with more particle-hole pairs, within the TBP, allowing for the computation of correlation functions in the diffusive, and beyond, GHD regimes. The two particle-hole form factors agree with expressions recently conjectured within the GHD.

scholarly journals SPECTRA OF RELIC GRAVITONS AND BRANS–DICKE THEORY

2005 ◽  
Vol 20 (02) ◽  
pp. 127-134 ◽  
Author(s):  
B. K. SAHOO
Keyword(s):  
Scalar Field ◽  
Energy Density ◽  
Time Dependence ◽  
Gravitational Waves ◽  
Hubble Parameter ◽  
Frequency Dependent ◽  
Cosmological Expansion ◽  
Relic Gravitational Waves ◽  
Matter Energy ◽  
Inflationary Models

The spectra of relic gravitational waves produced as a result of cosmological expansion of the inflationary models are derived in Brans–Dicke (BD) theory of gravity. The time dependence of the very early Hubble parameter and matter energy density are derived from frequency-dependent spectrum of relic gravitational waves. Also it is found that Brans–Dicke scalar field contributes to the energy density of relic gravitons.

scholarly journals CAN BRANS–DICKE SCALAR FIELD ACCOUNT FOR DARK ENERGY AND DARK MATTER?

2006 ◽  
Vol 21 (15) ◽  
pp. 1241-1248 ◽  
Author(s):  
M. ARIK ◽  
M. C. ÇALIK
Keyword(s):  
Dark Matter ◽  
Dark Energy ◽  
Scalar Field ◽  
Energy Density ◽  
Late Time ◽  
Energy Contribution ◽  
Time Solution ◽  
The Universe

By using a linearized non-vacuum late time solution in Brans–Dicke cosmology, we account for the 75% dark energy contribution but not for approximately 23% dark matter contribution to the present day energy density of the universe.

Inflationary cosmology for f(R, ϕ) models with different potentials

2017 ◽  
Vol 95 (11) ◽  
pp. 1074-1085 ◽  
Author(s):  
M. Zubair ◽  
Farzana Kousar
Keyword(s):  
Scalar Field ◽  
Equation Of State ◽  
Energy Density ◽  
Cosmological Constant ◽  
Observational Data ◽  
Power Law ◽  
Early Time ◽  
Inflationary Cosmology ◽  
Effective Equation ◽  
Slow Roll

We examine inflation in [Formula: see text] theory, where a scalar field is coupled to gravity. We have constructed [Formula: see text] models using exponential and power law potentials and study inflation for these models, which can support the early-time acceleration with a useful cosmological constant at high curvature. We have calculated the slow-roll parameters, scalar-to-tensor ratio, and spectral index for these models and analyzed them graphically to check the viability according to recent observational data. We have also presented the evolution of effective equation of state and energy density.

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