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Physics - Particle and Nuclear Physics | On Gauge Fixing Aspects of the Infrared Behavior of Yang-Mills Green Functions

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

Series: Springer Theses

Huber, Markus Q.

2012, XII, 140 p.

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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
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.

Content Level » Research

Keywords » Dyson-Schwinger equations - Green functions - Gribov-Zwanziger action - Mechanisms of quark confinement - Quark Confinement - Yang-Mills Green Functions - functional methods - infrared behavior - maximally Abelian gauge

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

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