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Which Topological Features of a Gauge Theory can be Responsible for Permanent Confinement?

  • G.’t Hooft
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 59)

Abstract

In the previous lecture a simple gauge model was considered with a scalar field doublet ξ. Perturbation expansion was considered not about the point ξ = o but about the “vacuum value”
$$\varepsilon =\left\{ \begin{matrix} F\\o\\\end{matrix} \right\}. $$
. Such a theory is usually called a theory with “spontaneous symmetry breakdown” 1). In contrast one might consider “unbroken gauge theories” where perturbation expansion is only performed about a symmetric “vacuum”. These theories are characterized by the absence of a mass term for the gauge vector bosons in the Lagrangian. The physical consequences of that are quite serious. The propagators now have their poles at k2 = o and it will often happen that in the diagrams new divergences arise because such poles tend to coincide. These are fundamental infrared divergences that imply a blow-up of the interactions at large distance scales. Often they make it nearly impossible to understand what the stable particle states are.

Keywords

Gauge Theory Magnetic Flux Gauge Transformation Topological Feature Perturbation Expansion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • G.’t Hooft
    • 1
  1. 1.Institute for Theoretical PhysicsUtrechtThe Netherlands

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