A path space formula for Gauss vectors in Chern–Simons quantum electrodynamics

1999 ◽  
Vol 40 (11) ◽  
pp. 5318-5340 ◽  
Author(s):  
John L. Challifour ◽  
John P. Clancy
Keyword(s):  
Quantum Electrodynamics ◽  
Path Space ◽  
Chern Simons

scholarly journals Chern-Simons terms in Lifshitz-like quantum electrodynamics

2013 ◽  
Vol 88 (6) ◽  
Author(s):  
Van Sérgio Alves ◽  
B. Charneski ◽  
M. Gomes ◽  
Leonardo Nascimento ◽  
Francisco Peña
Keyword(s):  
Quantum Electrodynamics ◽  
Chern Simons

scholarly journals Pseudo quantum electrodynamics and Chern-Simons theory coupled to two-dimensional electrons

2020 ◽  
Vol 101 (11) ◽  
Author(s):  
Gabriel C. Magalhães ◽  
Van Sérgio Alves ◽  
E. C. Marino ◽  
Leandro O. Nascimento
Keyword(s):  
Quantum Electrodynamics ◽  
Simons Theory ◽  
Two Dimensional ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals Dynamical mass generation in QED$_3$: A non-perturbative approach

2019 ◽  
Vol 2019 (7) ◽  
Author(s):  
G B de Gracia ◽  
B M Pimentel ◽  
L Rabanal
Keyword(s):  
Hilbert Space ◽  
Quantum Electrodynamics ◽  
Mass Generation ◽  
Dynamical Mass ◽  
Perturbative Approach ◽  
Photon Field ◽  
Chern Simons ◽  
Dynamical Mass Generation

Abstract In this work we provide a non-perturbative description of the phenomenon of dynamical mass generation in the case of quantum electrodynamics in $2+1$ dimensions. We will use the Kugo–Ojima–Nakanishi formalism to conclude that the physical Hilbert space of the asymptotic photon field is the same as that of the Maxwell–Chern–Simons.

scholarly journals Confinement in Maxwell-Chern-Simons planar quantum electrodynamics and the1/Napproximation

2010 ◽  
Vol 82 (9) ◽  
Author(s):  
Christoph P. Hofmann ◽  
Alfredo Raya ◽  
Saúl Sánchez Madrigal
Keyword(s):  
Quantum Electrodynamics ◽  
Chern Simons

RELATIVISTIC QED IN (2+1)-DIMENSIONAL SPACE: THE INTEGER AND FRACTIONAL QUANTIZED HALL EFFECTS

1994 ◽  
Vol 09 (06) ◽  
pp. 861-872 ◽  
Author(s):  
R. ACHARYA ◽  
P. NARAYANA SWAMY
Keyword(s):  
Quantum Electrodynamics ◽  
Weak Coupling ◽  
Dimensional Space ◽  
Ladder Approximation ◽  
Unified Theory ◽  
Approximation Solution ◽  
Hall Effects ◽  
Chern Simons

A unified theory of the phenomena of the integer and the fractional quantized Hall effects (FQHE) is presented within the framework of quantum electrodynamics in 2+1 dimensions. It is demonstrated that FQHE emerges naturally from a nonperturbative, weak coupling (ladder approximation) solution of a linearized Dyson–Schwinger equation for massive electrons interacting with massless photons. The Chern–Simons term plays no role in this analysis.

scholarly journals PARITY ANOMALY IN DIRAC EQUATION IN (1+2) DIMENSIONS, QUANTUM ELECTRODYNAMICS AND PAIR PRODUCTION

2013 ◽  
Vol 28 (21) ◽  
pp. 1350103
Author(s):  
RIAZUDDIN
Keyword(s):  
Dirac Equation ◽  
Quantum Electrodynamics ◽  
Axial Vector ◽  
Vector Current ◽  
Pair Creation ◽  
Feynman Diagrams ◽  
Parity Operator ◽  
Chern Simons ◽  
External Gauge ◽  
Massless Fermions

We show that parity operator plays an interesting role in Dirac equation in (1+2) dimensions and can be used for defining chiral charges. Further the "anomalous" current induced by an external gauge field can be related to the anomalous divergence of an axial vector current which arises due to quantum radiative corrections provided by triangular loop Feynman diagrams in analogy with the corresponding axial anomaly in (1+3) dimensions. It is shown that the nonconservation of "chiral charge" due to anomaly is related with the topological Chern–Simons charge. As an application pair creation of massless fermions in electric field is discussed.

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