Fetching the paper…
Reading the bibliography…
In a $U(1)_{\star}$-noncommutative (NC) gauge field theory we extend the Seiberg-Witten (SW) map to include the (gauge-invariance-violating) external current and formulate - to the first order in the NC parameter - gauge-covariant classical field equations.
E. Kamke, Differentialgleihungen. Lösungsmethoden und Lösungen: I.Gewöhnliche Differentialgleihungen
1959
Earlier work this paper cites.
P. Sikivie and N. Weiss, Classical Yang-Mills Theory in presence of external sources
1978
Earlier work this paper cites.
A. Cabo and A.E. Shabad, Quantum theory of gauge field with a nonvanishing external source
1988
Earlier work this paper cites.
V.B. Berestetsky, E.M. Lifshits, and Pitayevsky, Quantum Electrodynamics
1989
Earlier work this paper cites.
N. Seiberg and E. Witten, String Theory and Noncommutative Geometry
1999
Earlier work this paper cites.
T. Asakawa and I. Kishimoto, Comments on Gauge Equivalence in Noncommutative Geometry
1999
Earlier work this paper cites.
J.D. Jackson, Classical Electrodynamics
1999
Earlier work this paper cites.
M. Hayakawa, Perturbative analysis on infrared aspects of noncommutative QED on R 4
2000
Earlier work this paper cites.
I. F. Riad and M. M. Sheikh-Jabbari, Noncommutative QED and anomalous dipole moments
2000
Earlier work this paper cites.
M. R. Douglas and N. Nekrasov, Noncommutative Field Theory
2001
Earlier work this paper cites.
N. Chair and M. M. Sheikh-Jabbari, Pair production by a constant external field in noncommutative QED
2001
Earlier work this paper cites.
F. Ardalan and N. Sadooghi, Axial Anomaly in Noncommutative QED on R 4
2001
Earlier work this paper cites.
A. A. Bichl, J. M. Grimstrup, L. Popp, M. Schweda and R. Wulkenhaar, Deformed QED via Seiberg-Witten Map
2001
Cited alongside, same era.
S. M. Carroll, J. A. Harvey, V. A. Kostelecky, C. D. Lane and T. Okamoto, Noncommutative Field Theory and Lorentz Violation
2001
Cited alongside, same era.
Rong-Gen Cai, Superluminal Noncommutative Photons
2001
Cited alongside, same era.
Z. Guralnik, R. Jackiw, S.Y. Pi and A.P. Polychronakos, Testing Non-commutative QED, Constructing Non-commutative MHD
2001
Cited alongside, same era.
A. Bichl, J. M. Grimstrup, H. Grosse, L. Popp, M. Schweda and R. Wulkenhaar, Renormalization of the noncommutative photon self-energy to all orders via Seiberg-Witten map
2001
Cited alongside, same era.
R. Banerjee, C. Lee and H.S. Yang, Seiberg-Witten-type maps for currents and energy momentum tensors in noncommutative gauge theories . Phys.Rev. D70
2005
Later among the works it cites.
E.V. Gorbar, V.A. Miransky, Relativistic field theories in a magnetic background as noncommutative field theories
2005
Later among the works it cites.
C. Duval and P.A. Horvathy, Anyons with anomalous gyromagnetic ratio and the Hall effect
2005
Later among the works it cites.
D. V. Vassilevich, Twist to close,
2006
Later among the works it cites.
P. Aschieri, M. Dimitrijevic, F. Meyer, S. Schraml and J. Wess, Twisted gauge theories
2006
Later among the works it cites.
N. Chatillon and A. Pinzul, Light Propagation in a Background Field for Time-Space Noncommutativity and Axionic Noncommutative QED, Nucl. Phys. B 764
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2001
Cited alongside, same era.
M. Chaichian, M.M. Sheikh-Jabbari and A. Tureanu, Hydrogen atom spectrum and the Lamb shift in noncommutative QED
2001
Cited alongside, same era.
M. Chaichian, P. Presnajder, M. M. Sheikh-Jabbari and A. Tureanu, Noncommutative gauge field theories: A no-go theorem,
2002
Cited alongside, same era.
R. Wulkenhaar, Non-renormalizability of θ \theta -expanded noncommutative QED
2002
Cited alongside, same era.
Alaa I. Ibrahim et al, Discovery of Cyclotron Resonance Features in the Soft Gamma Repeater SGR 180620
2002
Cited alongside, same era.
R. Szabo, Quantum Field Theory on Noncommutative Spaces
2003
Cited alongside, same era.
A. Smailagic, E. Spallucci, UV divergence free QFT on noncommutative plane
2003
Cited alongside, same era.
2007
Later among the works it cites.
N. Sadooghi and S. Jalili, A new look at the modified Coulomb potential in a strong magnetic field,
2007
Later among the works it cites.
A. Stern, Noncommutative point sources,
2008
Later among the works it cites.
A. E. Shabad and V. V. Usov, Real and virtual photons in an external constant electro-magnetic field of most general form
2010
Later among the works it cites.
2010
Later among the works it cites.
A.E. Shabad and V.V. Usov, Modified Coulomb law in a strongly magnetized vacuum
2011
Closest in time.