The Gribov Legacy, Gauge Theories and the Physical S-Matrix

TL;DR

This paper discusses Gribov's key discoveries in gauge theories, emphasizing the importance of the Gribov ambiguity and reggeon unitarity in constructing a physical S-Matrix, which may be fundamental to the theory's consistency.

Contribution

It highlights the significance of Gribov's work on gauge copies and reggeon unitarity, proposing these as foundational to understanding the physical S-Matrix in gauge theories.

Findings

Gribov ambiguity is crucial in gauge theory bound-state amplitudes.

Reggeon unitarity plays a key role in S-Matrix construction.

A physical, unitary S-Matrix may determine the gauge theory itself.

Abstract

Reggeon unitarity and non-abelian gauge field copies are focussed on as two Gribov discoveries that, it is suggested, may ultimately be seen as the most significant and that could, in the far distant future, form the cornerstones of his legacy. The crucial role played by the Gribov ambiguity in the construction of gauge theory bound-state amplitudes via reggeon unitarity is described. It is suggested that the existence of a physical, unitary, S-Matrix in a gauge theory is a major requirement that could even determine the theory.