BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jutho Haegeman (University of Ghent) DTSTART:20201008T133000Z DTEND:20201008T143000Z DTSTAMP:20260423T011218Z UID:HEP-TN/8 DESCRIPTION:Title: L attice regularization and entanglement structure of the Gross Neveu model< /a>\nby Jutho Haegeman (University of Ghent) as part of HEP-tensor network seminars\n\n\nAbstract\nWe construct a Hamiltonian lattice regularisation of the N-flavour Gross-Neveu model that manifestly respects the full O(2N ) symmetry\, preventing the appearance of any unwanted marginal perturbati ons to the quantum field theory. In the context of this lattice model\, th e dynamical mass generation is intimately related to the Coleman-Mermin-Wa gner and Lieb-Schultz-Mattis theorem. In particular\, the model can be int erpreted as lying at the first-order phase transition line between a trivi al and symmetry-protected topological (SPT) phase\, which explains the deg eneracy of the elementary kink excitations. We show that our Hamiltonian m odel can be solved analytically in the large N limit\, producing the corre ct expression for the mass gap. Furthermore\, we perform extensive numeric al matrix product state simulations for N=2\, thereby recovering the emerg ent Lorentz symmetry and the proper non-perturbative mass gap scaling in t he continuum limit. Finally\, our simulations also reveal how the continuu m limit manifests itself in the entanglement spectrum. As expected from co nformal field theory we find two conformal towers\, one tower spanned by t he linear representations of O(4)\, corresponding to the trivial phase\, a nd the other by the projective i.e. spinor representations\, corresponding to the SPT phase.\n LOCATION:https://researchseminars.org/talk/HEP-TN/8/ END:VEVENT END:VCALENDAR