QCD effective actions from the solutions of the transport equations | Zendy

Cristina Manuel | Zendy; Stanisław Mrówczyński | Zendy

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QCD effective actions from the solutions of the transport equations

Author(s) -

Cristina Manuel,

Stanisław Mrówczyński

Publication year - 2003

Publication title -

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Language(s) - English

Resource type - Journals

eISSN - 1089-4918

pISSN - 0556-2821

DOI - 10.1103/physrevd.67.014015

Subject(s) - covariant transformation , quantum chromodynamics , physics , effective action , invariant (physics) , gluon , quark , gauge (firearms) , action (physics) , translation (biology) , quantum electrodynamics , mathematical physics , classical mechanics , particle physics , quantum mechanics , biochemistry , chemistry , archaeology , messenger rna , gene , history

We solve the collisionless transport equations of a quark-gluon plasmainteracting through mean chromodynamic fields. The system is assumed to betranslation invariant in one or more space-time directions. We present exactsolutions that hold if the vector gauge fields in the direction of thetranslation invariance commute with their covariant derivatives. We also solvethe equations perturbatively when the commutation condition is relaxed.Further, we derive the color current and the associated effective action. Forthe static quasi-equilibrium system, our results reproduce the full one-loopeffective action of QCD in the presence of constant background fields, wherethe above mentioned commutation condition is satisfied.Comment: 19 pages; Sec. VA rewritten, one appendix and one reference adde

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