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IR fixed point and low-momentum gluon propagator

Vladimir A. Petrov

Abstract

Assuming the gluon propagator to be finite at $ g^{2}_{s} /4π\equiv α\rightarrow α_{\ast} $, where $ α_{\ast} = α(0) $, we derive its low-momentum asymptotics. In some cases the results modify the known ones. In our work, we also establish the field-theoretical nature of a universal phenomenological parameter introduced in works \cite{Alk} and determining the behaviour of Green's functions in the infrared region. The importance of studying the renormalization group parameters in the vicinity of the infrared stable point is emphasized.

IR fixed point and low-momentum gluon propagator

Abstract

Assuming the gluon propagator to be finite at , where , we derive its low-momentum asymptotics. In some cases the results modify the known ones. In our work, we also establish the field-theoretical nature of a universal phenomenological parameter introduced in works \cite{Alk} and determining the behaviour of Green's functions in the infrared region. The importance of studying the renormalization group parameters in the vicinity of the infrared stable point is emphasized.

Paper Structure

This paper contains 6 sections, 35 equations.

Table of Contents

  1. Introduction
  2. Propagator
  3. Limit $\alpha \rightarrow \alpha_{\ast}$
  4. Discussion
  5. Conclusions and outlook.
  6. Acknowledgements