论文标题
脱钩SU中的压力校正(2)YANG-MILLS理论:涉及大型和无质量模式的二面图的情况
Pressure corrections in decoupling SU(2) Yang-Mills Theory: The case of dihedral diagrams involving both massive and massless modes
论文作者
论文摘要
在这项工作中,我们显示了逐步计算的逐步计算,以量化带有二面体对称性的三环订单图对SU(2)热阳米尔斯理论中压力的辐射校正的贡献。我们调查了过去的发展,并对单独的通道组合进行了计算,该计算由Mandelstam变量定义,这些变量受两个4个换核个性的约束。发现了用于高温条件的分析整合近似值,以验证校正与此图的相关性。对蒙特卡洛方法进行了数值分析,以检查这种近似的有效性,以将其与完整的积分进行比较。为了控制所找到的温度依赖性,必须对所有二面环订单进行Dyson-Schwinger重新召集。
In this work we show the step by step calculations needed to quantify the contribution of a three-loop order diagram with dihedral symmetry to the radiative corrections of the pressure in SU(2) thermal Yang-Mills theory in deconfining phase. We surveyed past developments, and performed computations for separate channel combinations, defined by Mandelstam variables which are constrained by two 4-vertices. An analytically integrable approximation for high-temperature conditions was found, to verify the relevance of the corrections for this diagram. A numerical analysis with Monte Carlo methods was carried out to check the validity of such approximation, to compare it with the full integral. A Dyson-Schwinger resummation had to be performed to all dihedral loop orders in order to control the temperature dependency found.