Geodesic
The condensate $\langle\operatorname{tr}(A_\mu^2)\rangle$ in
Teoretičeskaâ i matematičeskaâ fizika, Tome 148 (2006) no. 3, pp. 350-356 Cet article a éte moissonné depuis la source Math-Net.Ru

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We show that the gauge invariance of the operator$\int dx\,\operatorname{tr}(A_\mu^2- 2/(g\xi)x^\nu\theta_{\mu\nu}A^\mu)$ in a noncommutative gauge theory does not lead to the gauge independence of its vacuum condensate. We obtain the generalized Ward identities for Green's functions containing the operator $\lim_{\Omega\to\infty}(1/\Omega)\int_\Omega dx\,\operatorname{tr}(A_\mu^2)$ in commutative and noncommutative gauge theories.
Keywords: vacuum condensates, noncommutative field theory, quantum chromodynamics
Mots-clés : confinement phase. 
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     title = {The condensate $\langle\operatorname{tr}(A_\mu^2)\rangle$ in},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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R. N. Baranov; D. V. Bykov; A. A. Slavnov. The condensate $\langle\operatorname{tr}(A_\mu^2)\rangle$ in. Teoretičeskaâ i matematičeskaâ fizika, Tome 148 (2006) no. 3, pp. 350-356. http://geodesic.mathdoc.fr/item/TMF_2006_148_3_a1/

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[4] D. V. Bykov, A. A. Slavnov, TMF, 145:2 (2005), 147 | DOI | MR | Zbl