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We construct a relativistically covariant symmetry of QED. Previous local and nonlocal symmetries are special cases. This generalized symmetry need not be nilpotent, but nilpotency can be arranged with an auxiliary field and a certain…

High Energy Physics - Theory · Physics 2009-10-28 Zhong Tang , David Finkelstein

We show that recently found symmetries in QED are just non-local versions of standard BRST symmetry.

High Energy Physics - Theory · Physics 2009-10-28 Victor O. Rivelles

Quantum electrodynamics (QED) in a strong constant magnetic field is investigated from the viewpoint of its connection with noncommutative QED. It turns out that within the lowest Landau level (LLL) approximation the 1-loop contribution of…

High Energy Physics - Theory · Physics 2009-11-11 Michio Hashimoto

The noncommutative dipole QED is studied in detail for the matter fields in the adjoint representation. The axial anomaly of this theory is calculated in two and four dimensions using various regularization methods. The Ward-Takahashi…

High Energy Physics - Theory · Physics 2009-11-07 Neda Sadooghi , Masoud Soroush

Recent theoretical results have demonstrated that non-commutative geometries naturally appear within the context of string/M-theory. One consequence of this possibility is that QED takes on a non-abelian nature due to the introduction of 3-…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. L. Hewett , F. J. Petriello , T. G. Rizzo

Returning to the old problems in ordinary QED, by an appropriate extension of the dimensional regularization method in noncommutative space we try to provide a quite coherent look into NCQED.The renormalisation of theories, the $\beta$…

High Energy Physics - Theory · Physics 2007-05-23 Nguyen Tien Binh

We demonstrate that QED exhibits a previously unobserved symmetry. Some consequences are discussed.

High Energy Physics - Theory · Physics 2009-10-22 Martin Lavelle , David McMullan

We investigate the asymptotic symmetries of quantum electrodynamics (QED) in three dimensions, demonstrating that their actions on asymptotic states are trivial under the assumption of confinement.

High Energy Physics - Theory · Physics 2025-03-27 Keito Shimizu , Sotaro Sugishita

The transverse symmetry transformations associated with the normal symmetry transformations in gauge theories are introduced, which at first are used to reproduce the transverse Ward-Takahashi identities in the Abelian theory QED. Then the…

High Energy Physics - Phenomenology · Physics 2009-09-02 Han-xin He

We introduce the 3-colour noncommutative quantum field theory model in two dimensions. For this model we prove a generalised Ward-Takahashi identity, which is special to coloured noncommutative QFT models and has no underlying continuous…

Mathematical Physics · Physics 2019-09-23 Alexander Hock , Raimar Wulkenhaar

We generalize the Power-Zineau-Woolley transformation to obtain a canonical Hamiltonian of cavity quantum electrodynamics for arbitrary geometry of boundaries. This Hamiltonian is free from the A-square term and the instantaneous Coulomb…

Quantum Physics · Physics 2014-02-25 András Vukics , Tobias Grießer , Peter Domokos

In this paper the Lorentz transformations (LT) and the standard transformations (ST) of the usual Maxwell equations (ME) with the three-dimensional (3D) vectors of the electric and magnetic fields, E and B respectively, are examined using…

General Physics · Physics 2009-11-10 Tomislav Ivezic

A recent development in our understanding of the theory of quantum fields is the fact that familiar gauge theories in spacetime dimensions greater than two can have non-invertible symmetries generated by topological defects. The hallmark of…

High Energy Physics - Theory · Physics 2023-05-30 Christian Copetti , Michele Del Zotto , Kantaro Ohmori , Yifan Wang

Large Gauge Transformations (LGT) are gauge transformations that do not vanish at infinity. Instead, they asymptotically approach arbitrary functions on the conformal sphere at infinity. Recently, it was argued that the LGT should be…

High Energy Physics - Theory · Physics 2017-02-01 Barak Gabai , Amit Sever

Quantum electrodynamics is generally extended to a nonlocal QED by introducing the correlation functions. The gauge link is introduced to guarantee that the nonlocal QED is locally U(1) gauge invariant. The corresponding Feynman rules as…

High Energy Physics - Phenomenology · Physics 2024-01-17 Hang Li , P. Wang

An intriguing connection, based on duality symmetry, between ordinary (commutative) Born-Infeld type theory and non-commutative Maxwell type theory, is pointed out. Both discrete as well as continuous duality transformations are considered…

High Energy Physics - Theory · Physics 2015-06-26 Rabin Banerjee

We point out that, contrary to what is believed to hold for QCD, renormalons are genuine in QED; i.e. the ambiguities which come with them do not require cancellation by hypothetical non-perturbative contributions. They are just the…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. Espriu , R. Tarrach

Previous analyses of asymptotic symmetries in QED have shown that the subleading soft photon theorem implies a Ward identity corresponding to a charge generating divergent large gauge transformations on the asymptotic states at null…

High Energy Physics - Theory · Physics 2023-04-28 Temple He , Prahar Mitra

We generalise the electric-magnetic duality in standard Maxwell theory to its non-commutative version. Both space-space and space-time non-commutativity are necessary. The duality symmetry is then extended to a general class of…

High Energy Physics - Theory · Physics 2011-08-11 Yasumi Abe , Rabin Banerjee , Izumi Tsutsui

For supersymmetric gauge theories a consistent regularization scheme that preserves supersymmetry and gauge invariance is not known. In this article we tackle this problem for supersymmetric QED within the framework of algebraic…

High Energy Physics - Phenomenology · Physics 2011-09-13 W. Hollik , E. Kraus , D. Stöckinger
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