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The European Physical Journal C
ISSN: 1434-6044 (printed version)
ISSN: 1434-6052 (electronic version)
Abstract Volume 1 Issue 1/2 (1998) pp 343-350
theoretical physics:
(Anti-)self-dual homogeneous vacuum gluon field as an origin of confinement and $SU_L(N_F)\times SU_R(N_F)$ symmetry breaking in QCD
G.V. Efimov (1), S.N. Nedelko (1)(2)
(1) Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, RU-141980 Dubna, Moscow Region, Russia
(2) Institute for Theoretical Physics, University of Erlangen-Nürnberg, Staudtstrasse 7, D-91058 Erlangen, Germany
Received: 19 March 1997
Abstract. 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.
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Online publication: December 11, 1997
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