Time-Dependent Variational Approach to the Non-Abelian Pure Gauge Theory

Details Time-Dependent Variational Approach to the Non-Abelian Pure Gauge Theory Time-Dependent Variational Approach to the Non-Abelian Pure Gauge Theory

2009-02-27

arxiv.org/abs/0902.4752v1

Prog.Theor.Phys.122:1169-1188,2010

Physics

Nuclear Physics

Nuclear Theory

19 pages, no figures, using PTPTeX.cls

Scientific paper

10.1143/PTP.122.1169

The time-dependent variational approach to the pure Yang-Mills gauge theory, especially a color su(3) gauge theory, is formulated in the functional Schroedinger picture with a Gaussian wave functional approximation. The equations of motion for the quantum gauge fields are formulated in the Liouville-von Neumann form. This variational approach is applied in order to derive the transport coefficients, such as the shear viscosity, for the pure gluonic matter by using the linear response theory. As a result, the contribution to the shear viscosity from the quantum gluons is zero up to the lowest order of the coupling g in the quantum gluonic matter.

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