Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

Quarks and Triality in a Finite Volume

Aug 9, 2022, 2:40 PM
20m
CP1-HSZ/1st-1.001 - HS5 (CP1-HSZ)

CP1-HSZ/1st-1.001 - HS5

CP1-HSZ

50
Oral Presentation Vacuum Structure, Confinement, and Chiral Symmetry Vacuum Structure, Confinement, and Chiral Symmetry

Speaker

Milad Ghanbarpour (Institut für Theoretische Physik, Justus-Liebig Universität Gießen)

Description

In order to understand the puzzle of the free energy of an individual quark in QCD, we explicitly construct ensembles with quark numbers $N_V\neq 0\!\mod 3$, corresponding to non-zero triality in a finite subvolume $V$ on the lattice. We first illustrate the basic idea in an effective Polyakov-loop theory for the heavy-dense limit of QCD, and then extend the construction to full Lattice QCD, where the electric center flux through the surface of $V$ has to be fixed at all times to account for Gauss's law. This requires introducing discrete Fourier transforms over closed center-vortex sheets around the spatial volume $V$ between all subsequent time slices, and generalizes the construction of 't Hooft's electric fluxes in the purge gauge theory. We derive this same result from a dualization of the Wilson fermion action, and from the transfer matrix formulation with a local $\mathbb Z_3$-Gauss law to restrict the dynamics to sectors with the required center charge in $V$.

Primary authors

Milad Ghanbarpour (Institut für Theoretische Physik, Justus-Liebig Universität Gießen) Lorenz von Smekal (Justus-Liebig University Giessen)

Presentation materials