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On Gauge Fixing Aspects of the Infrared Behavior of Yang-Mills Green Functions

  • Book
  • © 2012

Overview

Authors:
  1. Markus Q. Huber

    1. , Institute of Nuclear Physics, Darmstadt University of Technology, Darmstadt, Germany

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  • Winner of the prestigious Viktor Hess Prize of the Austrian Physical Society
  • Develops a computer program for deriving complex Dyson-Schwinger equations
  • Important theoretical contribution to our understanding of quark confinement
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xi
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  2. Introduction

    • Markus Q. Huber
    Pages 1-6

  3. Yang-Mills Theory and its Infrared Behavior

    • Markus Q. Huber
    Pages 7-24

  4. Functional Equations

    • Markus Q. Huber
    Pages 25-35

  5. Scaling Solutions

    • Markus Q. Huber
    Pages 37-58

  6. The Infrared Regime of the Maximally Abelian Gauge

    • Markus Q. Huber
    Pages 59-79

  7. Dyson-Schwinger Equations in the Gribov Region

    • Markus Q. Huber
    Pages 81-106

  8. Conclusions

    • Markus Q. Huber
    Pages 107-108

  9. Back Matter

    Pages 109-137
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Keywords

About this book

Quarks are the main constituents of protons and neutrons and hence are important building blocks of all the matter that surrounds us. However, quarks have the intriguing property that they never appear as isolated single particles but only in bound states. This phenomenon is called confinement and has been a central research topic of elementary particle physics for the last few decades. In order to find the mechanism that forbids the existence of free quarks many approaches and ideas are being followed, but by now it has become clear that they are not mutually exclusive but illuminate the problem from different perspectives.
Two such confinement scenarios are investigated in this thesis: Firstly, the importance of Abelian field components for the low-energy regime is corroborated, thus supporting the dual superconductor picture of confinement and secondly, the influence of the Gribov horizon on non-perturbative solutions is studied.

Authors and Affiliations

  • , Institute of Nuclear Physics, Darmstadt University of Technology, Darmstadt, Germany

    Markus Q. Huber

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