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Physics - Theoretical, Mathematical & Computational Physics | A Bayesian Analysis of QCD Sum Rules

A Bayesian Analysis of QCD Sum Rules

Series: Springer Theses

Gubler, Philipp

2013, XVI, 190 p. 64 illus., 50 illus. in color.

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  • Describes the QCD sum rules method in detail, including appendixes dealing with many technical points of the calculations involved
  • Contains applications of MEM to QCDSR analyses to non-relativistic potential models, the ρ-meson, the nucleon and quarkonium at zero and finite temperatures
  • Nominated as an outstanding contribution by Tokyo Institute of Technology’s Physics Department in 2012

The author develops a novel analysis method for QCD sum rules (QCDSR) by applying the maximum entropy method (MEM) to arrive at an analysis with less artificial assumptions than previously held. This is a first-time accomplishment in the field.

In this thesis, a reformed MEM for QCDSR is formalized and is applied to the sum rules of several channels: the light-quark meson in the vector channel, the light-quark baryon channel with spin and isospin 1/2, and several quarkonium channels at both zero and finite temperatures.

This novel technique of combining QCDSR with MEM is applied to the study of quarkonium in hot matter, which is an important probe of the quark-gluon plasma currently being created in heavy-ion collision experiments at RHIC and LHC.

Content Level » Research

Keywords » Bayes’ Theorem - Borel Sum Rule - Bottomonium at Finite Temperature - Charmonium at Finite Temperature - Gaussian Sum Rule - MEM Analysis - Operator Product Expansion - Parity Projection - QCD Sum Rules

Related subjects » Particle and Nuclear Physics - Theoretical, Mathematical & Computational Physics

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