Conveners
Evening session 8: Rigorous Results in Gauge QFT
- Alexandre Kisselev (Logunov IHEP, NRC KI)
It has been suggested that the Landau-gauge gluon propagator has complex singularities, which invalidates the Källén–Lehmann spectral representation. Since such singularities are beyond the standard formalism of quantum field theory, the reconstruction of Minkowski propagators from Euclidean propagators has to be carefully examined for their interpretation. In this talk, we present rigorous...
A longstanding question in QCD is the origin of the mass gap in the Yang-Mills sector of QCD, i.e., QCD without quarks. In Landau gauge QCD this is encoded in a mass gap of the gluon propagator, which is found both in lattice simulations and with functional approaches. While functional methods are well suited to unravel the mechanism behind the generation of such a mass gap, a fully...
4d gauge theories with massless fermions typically have axial U(1) transformations
that suffer from the ABJ anomaly. One can modify the theory of interest by adding
more fields in a way that restores the axial symmetry, and use it to derive rigorous
’t-Hooft anomaly matching conditions. These conditions are not valid for the original
theory of interest, but for the modified theory. We show...
We study four-dimensional gauge theories with arbitrary simple gauge group with 1-form global center symmetry and 0-form parity or discrete chiral symmetry. We canonically quantize on a three-torus in a fixed background field gauging the 1-form symmetry. We show that the mixed 't Hooft anomaly results in a central extension of the global-symmetry operator algebra. We determine this...
We discuss higher-loop calculations of renormalization-group (RG)
flows of quantum field theories. We focus on properties at infrared
fixed points of the RG in vectorial asymptotically free gauge
theories with various gauge groups and fermion contents, including the
anomalous dimensions of the fermion bilinear operator $\bar\psi\psi$.
We have calculated these with inputs up to five-loop order...
