Vacuum Structure in QCD with Quark and Gluon Condensates

Details Vacuum Structure in QCD with Quark and Gluon Condensates Vacuum Structure in QCD with Quark and Gluon Condensates

1994-04-11

arxiv.org/abs/hep-ph/9404255v1

Int.J.Mod.Phys. E5 (1996) 93-106

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 Pages, 2 Figure pages, REVTEX, IP/BBSR/94-15

Scientific paper

We consider here the vacuum structure in QCD with both quark and gluon condensates and a variational ansatz for the ground state. The method is nonperturbative using only equal time algebra for the field operators. We then find that a constrained energy minimisation of the Hamiltonian leads to a QCD vacuum with both quark and gluon condensates for $\alpha_s > \alpha_c=0.62$. Pion decay constant and the charge radius of the pion seem to fix the QCD coupling constant $\alpha_s$ as 1.28. The approach opens up possibilities of relating the mysterious vacuum structure with common place hadronic properties.

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