The condensate <tr(A_μ^{2})> in commutative and noncommutative theories

Details The condensate <tr(A_μ^{2})> in commutative and noncommutative theories The condensate <tr(A_μ^{2})> in commutative and noncommutative theories

2006-01-19

arxiv.org/abs/hep-th/0601142v2

Theor.Math.Phys.148:1168-1173,2006; Teor.Mat.Fiz.148:350-356,2006

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, 1 figure

Scientific paper

10.1007/s11232-006-0110-9

It is shown that gauge invariance of the operator \int dx tr(A_{\mu}^{2}-\frac{2}{g \xi} x^{\nu} \theta_{\mu\nu} A^{\mu}) 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{\Omega \to \infty}{lim}\frac{1}{\Omega} \int\limits_{\Omega} dx tr(A_{\mu}^{2}) in noncommutative and commutative gauge theories.

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