Estimation of Σ Well Depth

Parity-invariant lattice regularization of a three-dimensional gauge-fermion system

“…⋆ This issue was formerly addressed by Ref. [14]. We thank Y. Kikukawa for informing us of this work.…”

Emergent Chern-Simons excitations due to electron-phonon interaction

“…This is related to the fact that in-plane optical phonons act like effective gauge fields that couple to the Dirac particles. Moreover, it has been known for a long time that the coupling of massive Dirac particles to gauge fields leads to Chern-Simons excitations [18][19][20][21][22][23][24]. It is crucial to note that the Chern-Simons term is created by the expansion of the fermion determinant with respect to a vector field, where the latter is usually a gauge field.…”

Overlap in odd dimensions

“…Thus, while there is an argument that parity invariant SU (2) with a single doublet doesn't exist, this argument does not fully extend to U (1) with a single Dirac fermion. If we replace the Dirac doublet in the SU (2) case by a Dirac fermion in representation j there will be a clash between parity and gauge invariance only when I ≡ 2 3 j(j +1)(2j +1) f 1 This view may be too dogmatic: see [3,4]. is odd: j = 1 2 , j = 5 2 , j = 9 2 , · · ·.…”