Anomalous dimensions of four-quark operators in the large N_f limit

Prepared by: Marcel Reginatto, PTB Marcel.Reginatto@ptb.de
Contents The programs MXD_FC31, GRV_FC31 and IQU_FC31.................................................. 3 Instructions for running MXD_FC31 and GRV_FC31...................................................... 6 Input files for MXD_FC31 and GRV_FC31.................................................................... 13 Output files generated by MXD_FC31 and GRV_FC31 ................................................. 21 Instructions for running IQU_FC31................................................................................. 23 Input files for IQU_FC31................................................................................................. 27 Output files generated by IQU_FC31 .............................................................................. 33 Appendix 1: The MXD_FC31 and IQU_FC31 algorithms .............................................. 34 Appendix 2: The GRV_FC31 algorithm .......................................................................... 41 Appendix 3: Some remarks on the use of diagonal and block diagonal covariance matrices to describe uncertainty in the default spectrum.................................................. 42 References........................................................................................................................ 49

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b Centre of Cognitive Neuroscience, University Vita Salute San Raffaele, Milan, Italy
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c Division of Speech and Hearing Sciences, University of Hong Kong, Pok Fulam, Hong Kong
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monolingual peers. These findings suggest that L1 production in bimodal bilinguals involves an interaction 32
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章节内容概述
• 第7章-续 – 例题 6 - 低压气轮机箱的热分析
• 第 8 章 - 辐射 – 辐射概念的回顾 – 基本定义 – 辐射建模的可选择方法 – 辐射矩阵模块 – 辐射分析例题 - 使用辐射矩阵模块进行热沉分析，隐式和非隐式方 法。
• 第 9 章 - 相变 – 基本模型/术语 – 在 ANSYS中求解相变 – 相变例题 - 飞轮铸造分析
传导
• 传导的热流由传导的傅立叶定律决定：
q*
=
− Knn
∂T ∂n
=
heat
flow
rate
per
unit
area
in
direction
n
Where, Knn = thermal conductivity in direction n
T = temperature
∂T = thermal gradient in direction n ∂n
• 负号表示热沿梯度的反向流动(i.e., 热从热的部分流向冷的).
q*
T
dT
dn
n
对流
• 对流的热流由冷却的牛顿准则得出:
q* = hf (TS − TB ) = heat flow rate per unit area between surface and fluid
Where, hf = convective film coefficient TS = surface temperature TB = bulk fluid temperature
• 第 6 章 - 复杂的, 时间和空间变化的边界条件 – 表格化的热边界条件 (载荷) – 基本变量 – 用户定义的因变变量
章节内容概述

QCD sum rules are overviewed with an emphasize on the practical applications of this method to the physics of light and heavy hadrons.
talk given at Continuous Advances in QCD 2002/ ARKADYFEST (honoring the 60th birthday of Arkady Vainshtein), Minneapolis, Minnesota, 17-23 May 2002.
TTP02-23
arXiv:hep-ph/0209166v1 15 Sep 2002
QCD SUM RULES - A WORKING TOOL FOR HADRONIC PHYSICS
ALEXANDER KHODJAMIRIAN
∗)
Institut f¨ ur Theoretische Teilchenphysik, Universit¨ at Karlsruhe, D-76128 Karlsruhe, Germany
1. Introduction Imagine a big birthday cake for Arkady Vainshtein, each candle on that cake corresponding to one of his outstanding contributions to the modern particle theory. I think, a very bright and illuminating candle should then mark QCD sum rules. The renown papers introducing QCD sum rules [ 1] have been published by Shifman, Vainshtein and Zakharov in 1979. The method, known also under the nickname of SVZ or ITEP sum rules, very soon became quite popular in the particle theory community, especially in Russia. Not only experienced theorists, but also many students of that time contributed to the development of this field with important results. It was indeed a lot of fun to start with an explicit QCD calculation in terms of quark-gluon Feynman diagrams and end up estimating dynamical characteristics of real hadrons. The flexibility and universality of the sum rule method allowed one to go from one interesting problem to another, describing, in the same framework, very different hadronic objects, from pions and nucleons to charmonium and B mesons. Nowadays, QCD sum rules are still being