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arXiv 0911.4601hep-ph
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硬热环QED热力学

Hard-thermal-loop QED thermodynamics

Nan Su, Jens O. Andersen, Michael Strickland

摘要:

热场论中热力学量的弱耦合展开式,除非耦合常数很小,否则收敛性很差。讨论了用硬热圈微扰理论计算电子和光子组成的热气体的三圈自由能。我们表明,硬热环微扰重组提高了连续近似的QED自由能在大耦合,e ~ 2的收敛性。这种重组是规范不变的,由于各种贡献之间的抵消,我们得到了一个完全解析的结果,在三个圈的图示热力学势。

英文摘要:

The weak-coupling expansion for thermodynamic quantities in thermal field theories is poorly convergent unless the coupling constant is tiny. We discuss the calculation of the free energy for a hot gas of electrons and photons to three-loop order using hard-thermal-loop perturbation theory (HTLpt). We show that the hard-thermal-loop perturbation reorganization improves the convergence of the successive approximations to the QED free energy at large coupling, e ~ 2. The reorganization is gauge invariant by construction, and due to the cancellations among various contributions, we obtain a completely analytic result for the resummed thermodynamic potential at three loops.

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