Nonlinear Dynamics of Soft Boson Excitations in Hot QCD Plasma. I. Plasmon–Plasmon Scattering

✍ Scribed by Yu.A. Markov; M.A. Markova

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 261 KB
• Volume: 302
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.2002.6312

✦ Synopsis

On the basis of the pure gauge sector of the Blaizot-Iancu equation, we derive a kinetic equation of Boltzmann type, taking into account 2n + 2-colorless plasmon decay processes, n = 1, 2, . . . . Using the so-called Tsytovich correspondence principle, a direct connection between matrix elements of the plasmon decay processes and a certain effective current, generating these processes, is established. The procedure of calculating a matrix element for the simplest four-plasmon decay is considered comprehensively. The limiting value of the plasmon occupation number (∼1/g 2 , where g is a strong coupling) wherein all plasmon decays with n ≥ 1 contribute to the right-hand side of the Boltzmann equation, is defined. The iterative method of calculation of matrix elements for higher decay processes (n > 1) is proposed, and a problem of their gauge-invariance is discussed. We proceed from the general reasons the problem of extending the suggested approach to the case of color plasmons is considered. The explicit form of a linearized Boltzmann equation for color plasmons is written out, and it is shown that this equation covariantly conserves the color current, resulting from color-plasmon number density.