scholarly journals Two-Dimensional Massless Quantum Electrodynamics in the Landau-Gauge Formalism and the Higgs Mechanism

1975 ◽  
Vol 53 (3) ◽  
pp. 817-828 ◽  
Author(s):  
K. R. Ito
2018 ◽  
Vol 33 (25) ◽  
pp. 1830020
Author(s):  
Suat Dengiz

In this note, we go over the recent soft photon model and Faddeev–Jackiw quantization of the massless quantum electrodynamics in the eikonal limit to some extent. Throughout our readdressing, we observe that the gauge potentials in both approaches become pure gauges and the associated eikonal Faddeev–Jackiw quantum bracket matches with the soft quantum bracket. These observations and the fact that the gauge fields in two cases localize in two-dimensional plane (even if it is spatial in soft photon case and (1[Formula: see text]+[Formula: see text]1)-dimensional Minkowski in the eikonal case) imply that there might be an interesting relation between these two distinct perspectives.


1980 ◽  
Vol 45 (3) ◽  
pp. 1048-1058 ◽  
Author(s):  
N. V. Krasnikov ◽  
V. A. Matveev ◽  
V. A. Rubakov ◽  
A. N. Tavkhelidze ◽  
V. F. Tokarev

NANO ◽  
2007 ◽  
Vol 02 (01) ◽  
pp. 1-13 ◽  
Author(s):  
BONG-SHIK SONG ◽  
TAKASHI ASANO ◽  
SUSUMU NODA

This paper presents a review on the selected highlights of highly-functional devices in two-dimensional photonic crystals slab structure. By introducing artificial defects in the photonic crystals (that is, defect engineering), novel photonic devices of line-defect waveguides and point-defect nanocavity are demonstrated. For more efficient manipulation of photons, the fundamentals of heterostructure photonic crystals are also reviewed. Heterostructures consist of multiple photonic crystals with different lattice-constants and they provide further high-functionalities such as multiple wavelength operation while maintaining optimized performance and the enhancement of photon manipulation efficiency. Because of the importance of high quality (Q) nanocavity for realization of nanophotonic devices, we also review the design rule of high Q nanocavities and present recent experiments on nanocavities with Q factors in excess of one million (~ 1.2 × 106). The progress of defect engineering and heterostructure in two-dimensional photonic crystals slab structure will accelerate development in ultrasmall photonic chips, cavity quantum electrodynamics, optical sensors, etc.


2020 ◽  
Vol 10 (4) ◽  
Author(s):  
Timo Felser ◽  
Pietro Silvi ◽  
Mario Collura ◽  
Simone Montangero

1989 ◽  
Vol 227 (3-4) ◽  
pp. 474-478 ◽  
Author(s):  
A.S. Gorsky ◽  
B.L. Ioffe ◽  
A.Yu. Khodjamirian

2014 ◽  
Vol 23 (06) ◽  
pp. 1460006 ◽  
Author(s):  
V. S. Olkhovsky

The formal mathematical analogy between time-dependent quantum equation for the nonrelativistic particles and time-dependent equation for the propagation of electromagnetic waves had been studied in [A. I. Akhiezer and V. B. Berestezki, Quantum Electrodynamics (FM, Moscow, 1959) [in Russian] and S. Schweber, An Introduction to Relativistic Quantum Field Theory, Chap. 5.3 (Row, Peterson & Co, Ill, 1961)]. Here, we deal with the time-dependent Schrödinger equation for nonrelativistic particles and with time-dependent Helmholtz equation for electromagnetic waves. Then, using this similarity, the tunneling and multiple internal reflections in one-dimensional (1D), two-dimensional (2D) and three-dimensional (3D) particle and photon tunneling are studied. Finally, some conclusions and future perspectives for further investigations are presented.


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