Gluon Condensation and the FIeld Strength Formulation in Quantum Chromodynamics

概要

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An observation is given that the field strength or the dual potential becomes a good coordinate in the low energy region and that its correlation is of short range if gluons condense in the vacuum in the form of color singlet. Taking the axial gauge the field strength formulation of Quantum Chromodynamics is given after separating the zero mode of the vector potential in order to take into account of the effect of the condensation. It turns out that unstable modes which are present in the spectrum of the vector potential are eliminated by the dual transformation and that the gluonic condensation gives a sass gap to the dual potential. As a dual Meissner effect the flux tube of the color electric field is formed. Numerical estimates of the string tension are given with a value of correct order of magnitude. The same mechanism gives a solution to the U(1) problem. The gluon condensation is finally shown by developing the leading logarithm series of the effective potential which enables us to find the minimum successively for small coupling constant.
理論物理学刊行会の論文
1982-08-25