General structure of the photon self-energy in non-commutative QED

Abstract

We study the behavior of the photon two point function, in non-commutative QED, in a general covariant gauge and in arbitrary space-time dimensions. We show, to all orders, that the photon self-energy is transverse. Using an appropriate extension of the dimensional regularization method, we evaluate the one-loop corrections, which show that the theory is renormalizable. We also prove, to all orders, that the poles of the photon propagator are gauge independent and briefly discuss some other related aspects.

16 pages, revtex4. This is the final version to be published in Phys. Rev. D

References in corpus (10)

• Noncommutative Field Theory
• Gauge-fixing independence of IR divergences in non-commutative U(1), perturbative tachyonic instabilities and supersymmetry
• Remarks on Time-Space Noncommutative Field Theories
• The Meaning of Infrared Singularities in Noncommutative Gauge Theories
• Renormalization of the noncommutative photon self-energy to all orders via Seiberg-Witten map
• Noncommutative $\mathcal{N}=1,2$ super U(N) Yang-Mills: UV/IR mixing and effective action results at one loop
• Absence of Higher Order Corrections to Noncommutative Chern-Simons Coupling
• Wilsonian Effective Actions and the IR/UV Mixing in Noncommutative Gauge Theories
• On the unitarity of quantum gauge theories on non-commutative spaces
• Hard Non-commutative Loops Resummation

Cited by in corpus (23)

• Non-commutative Oscillators and the commutative limit
• $t\to bW$ in NonCommutative Standard Model
• Self-energies on deformed spacetimes
• On the mass spectrum of noncommutative Schwinger model in Euclidean ${\mathbb{R}}^2$ space
• On the Free Energy of Noncommutative Quantum Electrodynamics at High Temperature
• Kontsevich product and gauge invariance
• The static effective action for non-commutative QED at high temperature
• Cancellation of soft and collinear divergences in noncommutative QED
• Noncommutative Dipole QED
• Gauge-Invariant Resummation Formalism and Unitarity in Non-Commutative QED
• Two-Point Functions on Deformed Spacetime
• Noncommutative Two-Dimensional Gauge Theories
• Towards Noncommutative Fuzzy QED
• Noncommutative massive Thirring model in three-dimensional spacetime
• Induced magnetic moment in noncommutative Chern-Simons scalar QED
• Second Order Corrections to QED Coupling at Low Temperature
• Dispersion relations for the self-energy in non-commutative field theories
• Deformed "Commutative" Chern - Simons System
• Slavnov-Taylor identities for noncommutative QED${}_4$
• Non-Commutative (Softly Broken) Supersymmetric Yang-Mills-Chern-Simons
• Photon-neutrino interaction in theta-exact covariant noncommutative model: Phenomenology and Quantum properties*
• Comment on the Decoupling of UV and IR Divergencies within Dimensional Regularization in Noncommutative Theories
• On the photon mass generation in Rarita-Schwinger QED