Phase structure of many-flavorQED3

Scaling dimensions in QED3 from the ϵ-expansion

“…In fact, the operators with the lowest UV dimension that are singlets under the symmetries of the theory are fourfermion operators. If for small N f they are dangerously irrelevant, i.e., their anomalous dimension is large enough for them to flow to relevant operators in the IR, they may trigger the aforementioned transition [7,27,28]. 1 The one-loop result of ref.…”

“…[56]. This tensor reduction reduces all integrals to one-and two-loop scalar integrals of the form 28) with the integers n 1 , n 2 , n 3 ≥ 1, and m 1 = 0. The one-loop integral can be directly evaluated, whereas all two-loop integrals can be reduced to a few master integrals using the recursion relation in ref.…”

Stability ofSU(Nc)QCD3Goldman1, Mulligan2 2016Phys. Rev. D4140View full textAdd to dashboardCite

“…Similarly, the fermion-gauge boson vertex is = igγ µ t a δ mn (8) where the flavor indices m (n) are attached to the in-coming (out-going) fermion lines.…”

“…Our work is inspired by recent studies of three-dimensional quantum electrodynamics QED3 [35] [ [5][6][7][8][9], in particular the studies via the -expansion [10,11]. (QCD3 may be viewed as a particular ultraviolet completion of compact QED3.)…”

Critical behavior of (2+1)-dimensional QED:1/Nfcorrections in an arbitrary nonlocal gauge

“…Early studies of this model [3,4] suggested that the physics is rapidly damped at momentum scales p a and that a (parity-invariant) fermion mass term breaking the flavour symmetry is dynamically generated at scales which are orders of magnitude smaller than the intrinsic scale a. Since then, dynamical chiral symmetry breaking (DχSB) in QED 3 and the dependence of the dynamical fermion mass on N have been the subject of extensive studies, see, e.g., [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22].…”