A dynamical gluon mass solution in Mandelstam's approximation
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Data
2005-12-30
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World Scientific Publ Co Pte Ltd
Resumo
We discuss the pure gauge Schwinger-Dyson equation for the gluon propagator in the Landau gauge within an approximation proposed by Mandelstam many years ago. We show that a dynamical gluon mass arises as a solution. This solution is obtained numerically in the full range of momenta that we have considered without the introduction of any ansatz or asymptotic expression in the infrared region. The vertex function that we use follows a prescription formulated by Cornwall to determine the existence of a dynamical gluon mass in the light cone gauge. The renormalization procedure differs from the one proposed by Mandelstam and allows for the possibility of a dynamical gluon mass. Some of the properties of this solution, such as its dependence on A(QCD) and its perturbative scaling behavior are also discussed.
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nonperturbative QCD, gluon Schwinger-Dyson equation, infrared gluon propagator
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International Journal of Modern Physics A. Singapore: World Scientific Publ Co Pte Ltd, v. 20, n. 32, p. 7613-7632, 2005.