The condensate <tr(A_μ^{2})> in commutative and noncommutative theories
arXiv:hep-th/0601142 · doi:10.1007/s11232-006-0110-9
Abstract
It is shown that gauge invariance of the operator \int dx tr(A_μ^{2}-\frac{2}{g ξ} x^ν θ_{μν} A^μ) in noncommutative gauge theory does not lead to gauge independence of its vacuum condensate. Generalized Ward identities are obtained for Green's functions involving operator \underset{Ω\to \infty}{lim}\frac{1}Ω \int\limits_Ω dx tr(A_μ^{2}) in noncommutative and commutative gauge theories.
7 pages, 1 figure