Abstract
The loop expansion in massless three-dimensional gauge theories develops infrared divergences starting at the two-loop level. However, we show that the divergences in QC${\mathrm{D}}_{3}$ which arise through the three-loop level (${g}^{6}$) can be removed by using a residual gauge freedom in covariant $\ensuremath{\alpha}$ gauges. Divergences in gauge-invariant amplitudes arise at ${g}^{8}$ order, as shown explicitly for the Wilson loop. Massless scalar QED develops a gauge-invariant singularity at order ${g}^{4}$, which can be canceled by changing the perturbative vacuum.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
