scholarly journals Effective potential of composite fields in weakly coupled QED in a uniform external magnetic field

1999 ◽  
Vol 59 (8) ◽  
Author(s):  
D.-S. Lee ◽  
P. McGraw ◽  
Y. Ng ◽  
I. Shovkovy
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Effective Potential ◽  
Weakly Coupled ◽  
Uniform External Magnetic Field

A NONPERTURBATIVE CALCULATION FOR THE EFFECTIVE POTENTIAL OF THE $\left(\frac{g}{4}\phi^{4}-J\phi\right)_{1+1}$ SCALAR FIELD THEORY USING THE OSCILLATOR REPRESENTATION METHOD WITH BOREL RESUMMATION

2007 ◽  
Vol 22 (06) ◽  
pp. 1265-1278
Author(s):  
ABOUZEID M. SHALABY ◽  
S. T. EL-BASYOUNY
Keyword(s):  
Magnetic Field ◽  
Field Theory ◽  
Phase Transition ◽  
Scalar Field ◽  
External Magnetic Field ◽  
Effective Potential ◽  
Oscillator Representation ◽  
Constructive Field Theory ◽  
Representation Method ◽  
Oscillator Representation Method

We established a resummed formula for the effective potential of [Formula: see text] scalar field theory that can mimic the true effective potential not only at the critical region but also at any point in the coupling space. We first extend the effective potential from the oscillator representation method, perturbatively, up to g3 order. We supplement perturbations by the use of a resummation algorithm, originally due to Kleinert, Thoms and Janke, which has the privilege of using the strong coupling as well as the large coupling behaviors rather than the conventional resummation techniques which use only the large order behavior. Accordingly, although the perturbation series available is up to g3 order, we found a good agreement between our resummed effective potential and the well-known features from constructive field theory. The resummed effective potential agrees well with the constructive field theory results concerning existing and order of phase transition in the absence of an external magnetic field. In the presence of the external magnetic field, as in magnetic systems, the effective potential shows nonexistence of phase transition and gives the behavior of the vacuum condensate as a monotonic increasing function of J, in complete agreement with constructive field theory methods.

Effects of a uniform external magnetic field on the magnetic properties of a pure dipolar planar system

2006 ◽  
Vol 73 (9) ◽  
Author(s):  
A. M. Abu-Labdeh ◽  
A. B. MacIsaac ◽  
J. P. Whitehead ◽  
K. De’Bell ◽  
M. G. Cottam
Keyword(s):  
Magnetic Field ◽  
Magnetic Properties ◽  
External Magnetic Field ◽  
Planar System ◽  
Uniform External Magnetic Field

scholarly journals Flux tubes in Nf = 2 + 1 QCD with external magnetic fields

2018 ◽  
Vol 175 ◽  
pp. 12008 ◽  
Author(s):  
Claudio Bonati ◽  
Salvatore Calì ◽  
Massimo D’Elia ◽  
Michele Mesiti ◽  
Francesco Negro ◽  
...  
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Tree Level ◽  
Magnetic Field Direction ◽  
Physical Point ◽  
Flux Tubes ◽  
Gauge Action ◽  
Uniform External Magnetic Field ◽  
Static Quark ◽  
The Magnetic Field

We study the behavior of the confining flux tube in Nf = 2 + 1 QCD at the physical point, discretized with the stout smearing improved staggered quark action and the tree level Symazik gauge action. We discuss how it depends on a uniform external magnetic field, showing how it displays anisotropies with respect to the magnetic field direction. Moreover, we compare the observed anisotropy pattern with that of the static quark-antiquark (QQ̅) potential we obtained in [1, 2].

scholarly journals MODIFIED WAVE EQUATION FOR SPINLESS PARTICLES AND ITS SOLUTIONS IN AN EXTERNAL MAGNETIC FIELD

2013 ◽  
Vol 28 (06) ◽  
pp. 1350014 ◽  
Author(s):  
S. I. KRUGLOV
Keyword(s):  
Magnetic Field ◽  
Wave Equation ◽  
External Magnetic Field ◽  
Quantum Mechanical ◽  
Third Order ◽  
Modified Dispersion Relation ◽  
First Order ◽  
The Third ◽  
Uniform External Magnetic Field ◽  
Schrödinger Form

The wave equation for spinless particles with the Lorentz violating term is considered. We formulate the third-order in derivatives wave equation leading to the modified dispersion relation. The first-order formalism is considered and the density matrix is obtained. The Schrödinger form of equations is presented and the quantum-mechanical Hamiltonian is found. Exact solutions of the wave equation are obtained for particles in the constant and uniform external magnetic field. The change of the synchrotron radiation radius due to quantum gravity corrections is calculated.

Thermomagnetic convection in a layer of ferrofluid placed in a uniform oblique external magnetic field

2015 ◽  
Vol 764 ◽  
pp. 316-348 ◽  
Author(s):  
Habibur Rahman ◽  
Sergey A. Suslov
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Additional Parameter ◽  
Thermomagnetic Convection ◽  
Uniform External Magnetic Field ◽  
Inclination Angles ◽  
Convection Patterns ◽  
The Stability ◽  
The Magnetic Field ◽  
Field Inclination

AbstractLinear stability of magnetoconvection of a ferromagnetic fluid contained between two infinite differentially heated non-magnetic plates in the presence of an oblique uniform external magnetic field is studied in zero gravity conditions. The thermomagnetic convection that arises is caused by the spatial variation of magnetisation occurring due to its dependence on the temperature. The critical values of the governing parameters at which the transition between motionless and convective states is observed are determined for various field inclination angles and for fluid magnetic parameters that are consistently chosen from a realistic experimental range. It is shown that, similar to natural paramagnetic fluids, the most prominent convection patterns align with the in-layer component of the applied magnetic field but in contrast to such paramagnetic fluids the instability patterns detected in ferrofluids can be oscillatory. It is also found that, contrary to paramagnetic fluids, the stability characteristics of magnetoconvection in ferrofluids depend on the magnitude of the applied field which becomes an additional parameter of the problem. This is shown to be due to the nonlinearity of the magnetic field distribution within the ferrofluid.

scholarly journals Method of Measuring Deformations of Magnetoactive Elastomers under the Action of Magnetic Fields

2019 ◽  
Vol 7 (4) ◽  
pp. 81-91 ◽  
Author(s):  
D. V. Saveliev ◽  
L. Yu. Fetisov ◽  
D. V. Chashin ◽  
P. A. Shabin ◽  
D. A. Vyunik ◽  
...  
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Polymer Matrix ◽  
Deep Understanding ◽  
Soft Materials ◽  
Point Of View ◽  
Magnetic Microparticles ◽  
Deformation Curves ◽  
Uniform External Magnetic Field ◽  
Manufacturing Technologies

Magnetic deformation is a change in the size and shape of a sample under the action of a uniform external magnetic field. The study of this effect in various materials provides deep understanding of the nature of magnetic and mechanical interactions. Moreover, magnetic deformation is of great interest from an engineering point of view for designing new devices. In magnetoactive elastomers containing magnetic microparticles in the polymer matrix, a giant deformation is detected under the action of an external magnetic field. The generally accepted methods for measuring magnetic deformation in magnetoactive soft materials are now practically absent. The article describes the installation for the study of the magnetomechanical characteristics of magnetoactive elastomers and demonstrates its experimental capabilities. The installation allows to measure deformations in the range from 0 to 12.5 mm with a resolution of 1 micron. The deformation curves obtained using these installations are required for developing actuators and sensors based on magnetoactive elastomers, and also for improving their manufacturing technologies.

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