Dynamical twisted mass fermions and baryon spectroscopy

Abstract : The aim of this work is an ab initio computation of the baryon masses starting from quantum chromodynamics (QCD). This theory describe the interaction betw een quarks and gluons and has been established at high energy thanks to one of its fundamental properties : the asymptotic freedom. This property predicts th at the running coupling constant tends to zero at high energy and thus that perturbative expansions in the coupling constant are justified in this regime. On the contrary the low energy dynamics can only be understood in terms of a non perturbative approach. To date, the only known method that allows the computat ion of observables in this regime together with a control of its systematic effects is called lattice QCD. It consists in formulating the theory on an Eucl idean space-time and to evaluating numerically suitable functional integrals. The chapter 1 and 2 are an introduction to the QCD in the continuum and on a discrete space time. The chapter 3 deals with the techniques needed to build hadronic correlator starting from gauge configuration. We then discuss how we determine hadron masses and their statistical errors. The numerical estimation of functional integral is explained in chapter 4. It is stressed that it requires sophisticated algorithm and massive parallel computating on BlueGene type architecture. Gauge configuration production is an important part of the work realized during my Ph.D. Chapter 5 is a critical review on chiral perturbation theory in the baryon sector. Th e chapters 6 and 7 are devoted to the analyze in the light and strange baryon sector. Systematics and chiral extrapolation are extensively discussed.
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Vincent Drach. Dynamical twisted mass fermions and baryon spectroscopy. High Energy Physics - Experiment [hep-ex]. Université de Grenoble, 2010. English. ⟨tel-00633497⟩

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