Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-07-25
Eur.Phys.J.C1:343-350,1998
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages, LaTex
Scientific paper
It is shown that an (anti-)self-dual homogeneous vacuum gluon field appears in a natural way within the problem of calculation of the QCD partition function in the form of Euclidean functional integral with periodic boundary conditions. There is no violation of cluster property within this formulation, nor are parity, color and rotational symmetries broken explicitly. The massless limit of the product of the quark masses and condensates, $m_f \langle \bar\psi_f \psi_f \rangle$, is calculated to all loop orders. This quantity does not vanish and is proportional to the gluon condensate appearing due to the nonzero strength of the vacuum gluon field. We conclude that the gluon condensate can be considered as an order parameter both for confinement and chiral symmetry breaking.
Efimov G. V.
Nedelko Sergei N.
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