Caleulation of nonrelativistic scattering of charged scalar particles from a classical Aharonov-Bohm solenoid without an explicit gauge choice: Working within gauge theories without the explicit use of a gauge

1986 ◽  
Vol 166 (2) ◽  
pp. 299-321 ◽  
Author(s):  
A.Y Shiekh
Keyword(s):  
Gauge Theories ◽  
Charged Scalar ◽  
Scalar Particles ◽  
Gauge Choice ◽  
Nonrelativistic Scattering ◽  
Aharonov Bohm

scholarly journals Exact Solutions of Scalar Bosons in the Presence of the Aharonov-Bohm and Coulomb Potentials in the Gravitational Field of Topological Defects

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Abdelmalek Boumali ◽  
Houcine Aounallah
Keyword(s):  
Gravitational Field ◽  
Relativistic Quantum ◽  
Topological Defects ◽  
Coupling Constants ◽  
Global Monopole ◽  
Charged Scalar ◽  
Scalar Particles ◽  
Quantum Motion ◽  
Aharonov Bohm ◽  
Coulomb Potentials

We analyze the relativistic quantum motion of a charged scalar particles in the presence of an Aharonov-Bohm and Coulomb potentials in the space-times produced by an idealized cosmic string and global monopole. We have calculated and discussed the eigensolutions of DKP equation and their dependence on both the geometry of the space-times and coupling constants parameters.

scholarly journals Charged scalar particles andτleptonic decay

1993 ◽  
Vol 48 (7) ◽  
pp. 3221-3224 ◽  
Author(s):  
Zhijian Tao
Keyword(s):  
Charged Scalar ◽  
Scalar Particles

scholarly journals THE LIENARD–WIECHERT POTENTIAL OF CHARGED SCALAR PARTICLES AND THEIR RELATION TO SCALAR ELECTRODYNAMICS IN THE REST-FRAME INSTANT FORM

1998 ◽  
Vol 13 (16) ◽  
pp. 2791-2831 ◽  
Author(s):  
DAVID ALBA ◽  
LUCA LUSANNA
Keyword(s):  
Electromagnetic Field ◽  
Dirac Equation ◽  
Rest Frame ◽  
Coulomb Gauge ◽  
Charged Scalar ◽  
Scalar Particles ◽  
Field System ◽  
Instant Form ◽  
Hamilton Equations ◽  
New Type

After a summary of a recently proposed new type of instant form of dynamics (the Wigner-covariant rest-frame instant form), the reduced Hamilton equations in the covariant rest-frame Coulomb gauge for the isolated system of N scalar particles with pseudoclassical Grassmann-valued electric charges plus the electromagnetic field are studied. The Lienard–Wiechert potentials of the particles are evaluated and it is shown how the causality problems of the Abraham–Lorentz–Dirac equation are solved at the pseudoclassical level. Then, the covariant rest-frame description of scalar electrodynamics is given. Applying to it the Feshbach–Villars formalism, the connection with the particle plus electromagnetic field system is found.

scholarly journals Induced Cosmological Constant in Braneworlds with Compact Dimensions

2018 ◽  
pp. 315-326
Author(s):  
A. A. Saharian ◽  
H. G. Sargsyan
Keyword(s):  
Magnetic Flux ◽  
Cosmological Constant ◽  
Function Technique ◽  
Vacuum Energy Density ◽  
De Sitter ◽  
Charged Scalar ◽  
Sitter Spacetime ◽  
Compact Dimension ◽  
Spatial Dimensions ◽  
Aharonov Bohm

We investigate the cosmological constant induced by quantum fluctuations of a bulk charged scalar field on a brane in background of locally anti-de Sitter spacetime with toroidally compact spatial dimensions. Along compact dimension quasiperiodicity conditions are imposed with general phases and, in addition, the presence of a constant gauge field is assumed. The latter gives rise to Aharonov-Bohm type effect on the characteristics of the scalar vacuum. The renormalization of the vacuum energy density on the brane is done by making use of the generalized zeta function technique. The behavior of the cosmological constant is studied as a function of the location of the brane, of the length of the compact dimensions and of the magnetic flux enclosed by the compact dimension. In particular, it is shown that the cosmological constant is a periodic function of the magnetic flux with the period equal to the flux quantum.

scholarly journals One-loop Form Factors for \(H\rightarrow \gamma^*\gamma^*\) in \(R_{\xi}\) Gauge

2021 ◽  
Vol 32 ◽  
Author(s):  
Khiem Hong Phan ◽  
Dzung Tri Tran
Keyword(s):  
Standard Model ◽  
Form Factors ◽  
Numerical Results ◽  
Good Stability ◽  
Charged Scalar ◽  
Scalar Particles ◽  
Standard Models ◽  
Loop Form

In this paper, we present general one-loop form factors for \(H\rightarrow \gamma^* \gamma^*\) in \(R_{\xi}\) gauge, considering all cases of two on-shell, one on-shell and two off-shell for final photons. The calculations are performed in standard model and in arbitrary beyond the standard models which charged scalar particles may be exchanged in one-loop diagrams. Analytic results for the form factors are shown in general forms which are expressed in terms of the Passarino-Veltman functions. We also confirm the results in previous computations which are available for the case of two on-shell photons. The \(\xi\)-independent of the result is also discussed. We find that numerical results are good stability with varying \(\xi=0,1\) and $\xi\rightarrow \infty\).

scholarly journals A New Analytical Method for Self-Force Regularization. I: -- Charged Scalar Particles in Schwarzschild Spacetime --

2004 ◽  
Vol 111 (6) ◽  
pp. 821-840 ◽  
Author(s):  
W. Hikida ◽  
S. Jhingan ◽  
H. Nakano ◽  
N. Sago ◽  
M. Sasaki ◽  
...  
Keyword(s):  
Analytical Method ◽  
Schwarzschild Spacetime ◽  
Charged Scalar ◽  
Scalar Particles ◽  
Self Force
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