arXiv 1104.34502011-04hep-phhep-lathep-thnucl-th

热规范理论的规范不变重整

A Gauge-Invariant Reorganization of Thermal Gauge Theory

Nan Su

备注：: Doctoral dissertation, Goethe-Universitaet Frankfurt, 152 pp., Aug. 2010. Official version available from http://publikationen.ub.uni-frankfurt.de/volltexte/2011/8962/

摘要：

本论文致力于量子规范理论的热力学研究。几十年来，有限温度下量子场论的收敛性差一直是热QCD实际应用的主要障碍。在这篇论文中，我应用硬热圈微扰理论，这是一个规范不变的重组的常规微扰展开的量子规范理论的热力学QED和杨米尔斯理论的三圈秩序。对于阿贝尔的情况下，我提出了一个计算的自由能的热气体的电子和光子的展开在$m_D/T$，$m_f/T$和$e^2$，其中$m_D$和$m_f$分别是光子和电子的热质量，和$e$是耦合常数的幂级数。我证明了硬热环扰动重组提高了连续近似的QED自由能在大耦合，$e \sim 2$的收敛性。对于非阿贝尔情形，本文提出了一种用$m_D/T$和$g^2$的幂级数展开的胶子热气体自由能的计算方法，其中$m_D$是胶子热质量，$g$是耦合常数.我表明，在三圈秩序硬热回路微扰理论是相容的晶格结果的压力，能量密度，熵下降到温度$T \sim 2-3\;T_c$。结果表明，HTLpt提供了一个系统的框架，可用于计算静态和动态的量在LHC相关的温度。

英文摘要：

This dissertation is devoted to the study of thermodynamics for quantum gauge theories. The poor convergence of quantum field theory at finite temperature has been the main obstacle in the practical applications of thermal QCD for decades. In this dissertation I apply hard-thermal-loop perturbation theory, which is a gauge-invariant reorganization of the conventional perturbative expansion for quantum gauge theories to the thermodynamics of QED and Yang-Mills theory to three-loop order. For the Abelian case, I present a calculation of the free energy of a hot gas of electrons and photons by expanding in a power series in $m_D/T$, $m_f/T$ and $e^2$, where $m_D$ and $m_f$ are the photon and electron thermal masses, respectively, and $e$ is the coupling constant. I demonstrate that the hard-thermal-loop perturbation reorganization improves the convergence of the successive approximations to the QED free energy at large coupling, $e \sim 2$. For the non-Abelian case, I present a calculation of the free energy of a hot gas of gluons by expanding in a power series in $m_D/T$ and $g^2$, where $m_D$ is the gluon thermal mass and $g$ is the coupling constant. I show that at three-loop order hard-thermal-loop perturbation theory is compatible with lattice results for the pressure, energy density, and entropy down to temperatures $T \sim 2-3\;T_c$. The results suggest that HTLpt provides a systematic framework that can be used to calculate static and dynamic quantities for temperatures relevant at LHC.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

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