Centro de Excelencia Severo Ochoa
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IFT Seminar Room/Red Room
In 3 dimensions, QED is a free theory at high energies. However,
like QCD in 4 dimensions, QED3 becomes strongly coupled when evolved to low
energies. If the number of fermions/flavours ($N_f$) is large, the strongly
coupled theory is conformal, but this can change for small values of Nf.
Understanding the range of conformality in QED3 and related theories, i.e.,
QCD3, is an active field of research connecting various fiels, e.g., lattice,
large-N approaches, bootstrapping. In this talk, I discuss a mechanism that
may dynamically force the theory out of conformality; a strong RG flow can
render four-fermion operators relevant and destabilize the conformal fixed
point. I discuss how to quantify this via the method of $\epsilon$ expansion
at one- and two-loop. I will also discuss the scheme and evancescent
(in)dependence of this approach and generalise some result to the case of 3
dimensional QCD.
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