中文

Three-loop Phi-derivable Approximation in QED

高能物理 - 唯象学 2009-11-10 v2

摘要

In this paper we examine Phi-derivable approximations in QED. General theorems tell us that the gauge dependence of the n-loop Phi-derivable approximation shows up at order g^(2n) where g is the coupling constant. We consider the gauge dependence of the two-loop Phi-derivable approximation to the Debye mass and show that it is of order e^4 as expected. We solve the three-loop Phi-derivable approximation in QED by expanding sum-integrals in powers of e^2 and m/T, where m is the Debye mass which satisfies a variational gap equation. The results for the pressure and the Debye mass are accurate to order e^5.

引用

@article{arxiv.hep-ph/0406163,
  title  = {Three-loop Phi-derivable Approximation in QED},
  author = {Jens O. Andersen and Michael Strickland},
  journal= {arXiv preprint arXiv:hep-ph/0406163},
  year   = {2009}
}

备注

10 pages, 5 figures. v2: typos corrected and references added