Intercepts of meson Regge trajectories in SU($N_c$) quantum chromodynamics with massless quarks

TL;DR

This paper calculates the intercepts of meson Regge trajectories in SU(N_c) QCD with massless quarks using the Bethe-Salpeter equation in ladder approximation, demonstrating gauge and renormalization invariance.

Contribution

It provides a gauge-invariant and renormalization-invariant calculation of meson Regge trajectory intercepts in SU(N_c) QCD using the Bethe-Salpeter equation.

Findings

Derived a series of intercepts for meson Regge trajectories.

Confirmed gauge and renormalization invariance of the results.

Linked the intercepts to singularities of the four-quark Green function.

Abstract

By means of solving the Bethe-Salpeter equation with the minimal perturbative kernel (ladder approximation) in the arbitrary covariant gauge, there was found a series of intercepts of meson Regge trajectories associated with colorless singularities of the four-quark Green function in SU($N_c$) quantum chromodynamics with massless quarks. The gauge and renorm-invariance of the result is grounded.