Lattice2010

Session

Parallel 36: Theoretical developments

15 Jun 2010, 16:40

Villasimius, Sardinia

267. Worm algorithm for the O(N) Gross-Neveu model

Vidushi Maillart (University of Bern and Regensburg)

15/06/2010, 17:00

Theoretical developments

We study the lattice O(N) Gross-Neveu model with Wilson fermions in the loop gas formulation. Employing the Prokof'ev-Svistunov worm algorithm we can simulate fluctuating fermionic boundary conditions and use them to tune the system exactly to the critical point. We show how the worm algorithm can be extended to sample directly the correlation functions of fermion bound states involving...

271. Loop gas formulation of supersymmetric quantum mechanics

David Baumgartner (University of Bern)

15/06/2010, 17:20

Theoretical developments

We discuss the formulation of supersymmetric quantum mechanics on the lattice as an interacting gas of bosonic and fermionic loops and its simulation using the Prokof'ev-Svistunov worm algorithm. In the case of unbroken supersymmetry we can simulate different lattice discretisations, including Q-exact actions, in the weak and strong coupling regime, and we find that the expected mass...

285. Loop gas formulation of supersymmetric models in low dimensions

Urs Wenger (Institute for Theoretical Physics, University of Bern)

15/06/2010, 17:40

Theoretical developments

We review the construction of twisted supersymmetry and Q-exact actions on the lattice in low dimensions and discuss the formulation of such supersymmetric lattice models as an interacting gas of bosonic and fermionic loops. We comment on the relevance of the fermion sign problem for the vanishing of the Witten index and show how this sign problem can be solved by employing the...