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On the renormalizability of noncommutative<i>U</i>(1) gauge theory—an algebraic approach

On the renormalizability of noncommutative<i>U</i>(1) gauge theory—an algebraic approach

We investigate the quantum effects of the nonlocal gauge invariant operator $\frac{1}{{}{D}^{2}}{F}_{\mu \nu}\ast \frac{1}{{}{D}^{2}}{F}^{\mu \nu}$ in the noncommutative U(1) action and its consequences to the infrared sector of the theory. Nonlocal operators of such kind were proposed to solve the infrared problem of the noncommutative gauge theories evading the questions …