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The kinetic equation for the quark Wigner function in strong gluon field

A. V. Prozorkevich·S. A. Smolyansky·S. V. Ilyin
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Abstract

The Vlasov type quantum kinetic equation for deconfined quarks in strong quasi-classical gluon field is derived in the covariant single-time formalism. The equations system for the Wigner function components is obtained as a result of spinor and color decomposition. The field-free and vacuum solutions of the kinetic equation are found, and the conservation laws are derived. The flux-tube configuration of gluon field is discussed in detail.

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A. V. Prozorkevich, S. A. Smolyansky, S. V. Ilyin. 2004-01-18. The kinetic equation for the quark Wigner function in strong gluon field. https://arxiv.org/abs/hep-ph/0301169

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