The high-energy, fixed-momentum-transfer behavior of spontaneously broken non-Abelain gauge theory, with SU(2) gauge group, has previously been calculated through tenth order in perturbation theory in the leading-logarithm approximation. We interpret the complicated results as due to the exchange of the gauge-meson Regge trajectory plus associated cuts generated by Reggeon field theory. There are only two Reggeon couplings consistent with the leading-logarithm perturbation theory calculation. The coupling strengths are highly overdetermined by the perturbation calculation, demonstrating the consistency of the assumption of the applicability of Reggeon field theory. For large values of the momentum transfer our results are in agreement with the calculations of Carruthers, Fishbane, and Zachariasen and Cornwall and Tiktopoulos to all orders in perturbation theory. When all of the contributions of the moving cuts are summed in the weak-coupling approximation, the leading $J$-plane singularity in the $I=0\mathrm{}$ channel is a fixed cut. We show that this singularity remains fixed, at least in the weak-coupling approximation, even when asymptotic freedom is taken into account.

• Received 12 August 1977

DOI:https://doi.org/10.1103/PhysRevD.17.585