Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-07-04
Phys.Lett. B387 (1996) 841-847
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 p, LaTeX, 1 figure included using epsf
Scientific paper
10.1016/0370-2693(96)01098-2
We calculate the vacuum expectation value of the dimension-5 "mixed" quark-gluon operator, $O_\sigma = \bar\psi (\lambda^a /2) \sigma_{\mu\nu} \psi F_{\mu\nu}^a$, in the instanton vacuum. Within the $1/N_c$--expansion the QCD operator is replaced by an effective many-fermion operator, which is averaged over the effective theory of massive quarks derived from instantons. We find $m_0^2 \equiv \langle O_\sigma \rangle / \langle \bar\psi\psi \rangle \approx 4 \bar\rho^{-2} = 1.4 GeV^2$, somewhat larger than the estimate from QCD sum rules for the nucleon.
Polyakov Maxim V.
Weiss Carsten
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