# A Bayesian Analysis of QCD Sum RulesBasics of QCD Sum Rules

A Bayesian Analysis of QCD Sum Rules: Basics of QCD Sum Rules [QCD sum rules, one of the basic tools employed in this thesis, will be reviewed in this chapter. First, the dispersion relation of the two-point function is introduced and the sum rules are subsequently derived, including an explanation of the Borel transformation. Then, some technical subtleties related to the operator product expansion are discussed, and the details of the calculations are presented. Next, our current knowledge of the QCD vacuum is reviewed and the explicit values for the various vacuum condensates, which characterize the QCD vacuum, are given. Finally, the problem of the parity projection for baryonic sum rules is explained and a novel approach for properly carrying out such a parity projection is explicitly shown in detail, including all the necessary calculations.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

# A Bayesian Analysis of QCD Sum RulesBasics of QCD Sum Rules

Part of the Springer Theses Book Series
26 pages      /lp/springer-journals/a-bayesian-analysis-of-qcd-sum-rules-basics-of-qcd-sum-rules-GuX0ImnNse
Publisher
Springer Japan
ISBN
978-4-431-54317-6
Pages
25 –50
DOI
10.1007/978-4-431-54318-3_3
Publisher site
See Chapter on Publisher Site

### Abstract

[QCD sum rules, one of the basic tools employed in this thesis, will be reviewed in this chapter. First, the dispersion relation of the two-point function is introduced and the sum rules are subsequently derived, including an explanation of the Borel transformation. Then, some technical subtleties related to the operator product expansion are discussed, and the details of the calculations are presented. Next, our current knowledge of the QCD vacuum is reviewed and the explicit values for the various vacuum condensates, which characterize the QCD vacuum, are given. Finally, the problem of the parity projection for baryonic sum rules is explained and a novel approach for properly carrying out such a parity projection is explicitly shown in detail, including all the necessary calculations.]

Published: Mar 30, 2013

Keywords: Dispersion relation; Two-point function; Operator product expansion; QCD sum rules; QCD condensates