scholarly journals N = 2 MAXWELL–CHERN–SIMONS MODEL WITH ANOMALOUS MAGNETIC MOMENT COUPLING VIA DIMENSIONAL REDUCTION

1999 ◽  
Vol 14 (01) ◽  
pp. 147-159 ◽  
Author(s):  
H. R. CHRISTIANSEN ◽  
M. S. CUNHA ◽  
J. A. HELAYËL-NETO ◽  
L. R. U. MANSSUR ◽  
A. L. M. A. NOGUEIRA

An N = 1-supersymmetric version of the Cremmer–Scherk–Kalb–Ramond model with nonminimal coupling to matter is built up both in terms of superfields and in a component-field formalism. By adopting a dimensional reduction procedure, the (N = 2)-(D = 3) counterpart of the model comes out, with two main features: a genuine (diagonal) Chern–Simons term and an anomalous magnetic moment coupling between matter and the gauge potential.

1999 ◽  
Vol 14 (11) ◽  
pp. 1721-1735 ◽  
Author(s):  
H. R. CHRISTIANSEN ◽  
M. S. CUNHA ◽  
J. A. HELAYËL-NETO ◽  
L. R. U. MANSSUR ◽  
A. L. M. A. NOGUEIRA

We find self-dual vortex solutions in a Maxwell–Chern–Simons model with anomalous magnetic moment. From a recently developed N=2 supersymmetric extension, we obtain the proper Bogomol'nyi equations together with a Higgs potential allowing both topological and nontopological phases in the theory.


1992 ◽  
Vol 07 (13) ◽  
pp. 1149-1156 ◽  
Author(s):  
Y. GEORGELIN ◽  
J. C. WALLET

We analyze the Maxwell-Chern-Simons theory with minimal and tree level magnetic coupling to a fermion and a scalar. For a unique value of the magnetic moment, this theory allows one to recover an anyon-like behavior which however differs from the one of ideal anyons by an attractive contact term. For this particular value of the magnetic moment, we find that the physical photon mass does not receive one-loop radiative corrections. We comment this result and some physical aspects of the theory.


1995 ◽  
Vol 10 (19) ◽  
pp. 1401-1407
Author(s):  
S. VOROPAEV

The possibility of the existence of “free” Schrödinger anyons is considered. It is shown that special type of contact interactions exists when scattering does not arise. By formulating the problem for the two-particle system with a finite region of interaction which is then allowed to go to zero, it is established that this type of the contact interactions is the analog of the anomalous magnetic moment for fermions in the Aharonov-Bohm field. Finally, we consider connections with the Dirac anyon physics and low energy dynamics of [U(1)]2 Chern-Simons solitons.


1994 ◽  
Vol 50 (10) ◽  
pp. 6610-6615 ◽  
Author(s):  
Yvon Georgelin ◽  
Jean-Christophe Wallet

2004 ◽  
Vol 581 (3-4) ◽  
pp. 182-192 ◽  
Author(s):  
Ashok Das ◽  
Silvana Perez

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Wen Qin ◽  
Ling-Yun Dai ◽  
Jorge Portolés

Abstract A coherent study of e+e− annihilation into two (π+π−, K+K−) and three (π+π−π0, π+π−η) pseudoscalar meson production is carried out within the framework of resonance chiral theory in energy region E ≲ 2 GeV. The work of [L.Y. Dai, J. Portolés, and O. Shekhovtsova, Phys. Rev. D88 (2013) 056001] is revisited with the latest experimental data and a joint analysis of two pseudoscalar meson production. Hence, we evaluate the lowest order hadronic vacuum polarization contributions of those two and three pseudoscalar processes to the anomalous magnetic moment of the muon. We also estimate some higher-order additions led by the same hadronic vacuum polarization. Combined with the other contributions from the standard model, the theoretical prediction differs still by (21.6 ± 7.4) × 10−10 (2.9σ) from the experimental value.


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