arXiv subjects
Publications and source records attributed to D. V. Bykov.
In this paper we consider matrix and vector models in the large N limit ($N \times N$ matrices and vectors with N^{2} components). For the case of zero-dimensional model (D=0) it is proved that in the strong coupling limit $g \to \infty$ statistical sums of both models coincide up to a coefficient. This is also true for D=1.
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.
Gauge dependence of the dimension two condensate in Abelian and non-Abelian Yang-Mills theory is investigated.