A study of the Gribov-Zwanziger action: from propagators to glueballs

Abstract

This Ph.D. thesis presents a study of the Gribov-Zwanziger framework: from propagators to glueballs. The chapters 2 and 3 are meant as an introduction and only require a basic knowledge of quantum field theory. Chapter 2 explains the techniques behind algebraic renormalization, which shall be widely used throughout this thesis, while chapter 3 tries to give a pedagogic overview of the Gribov-Zwanziger framework as this is not available yet in the literature. The subsequent chapters contain own research. First in chapter 4, we shall dig a bit deeper in the Gribov-Zwanziger framework, by exploring the BRST symmetry and the KO criterium. Next, in chapter 5 we shall elaborate on the ghost and the gluon propagator in the infrared and present a refined Gribov-Zwanziger action. Further, we present two chapters on the search for physical operators within the (refined) Gribov-Zwanziger framework, chapter 6 and 7. A small chapter 8 is devoted to some values for different glueballs. We end this thesis with the conclusions, chapter 9.

326 pages, Thesis submitted in fulfillment of the requirements for the degree of Doctor (Ph.D.) in Sciences: Physics, obtained on March 11, 2011

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• Exploring new horizons of the Gribov problem in Yang-Mills theories
• Correspondence between the twisted $N=2$ super-Yang-Mills and conformal Baulieu-Singer theories
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