The 34th International Symposium on Lattice Field Theory (Lattice 2016)

A worm algorithm for the lattice CP(N-1) model

29 Jul 2016, 14:00

20m

Building 67 Room 1027 (Highfield Campus, University of Southampton)

Talk Nonzero Temperature and Density Nonzero Temperature and Density

Speaker

Mr Tobias Rindlisbacher (ETH Zürich)

Description

The CP(N-1) model in 2D is an interesting toy model for 4D QCD as it possesses confinement, asymptotic freedom and a non-trivial vacuum structure. Due to the lower dimensionality and the absence of fermions, the computational cost for simulating 2D CP(N-1) on the lattice is much lower than the one for simulating 4D QCD. However to our knowledge, no efficient algorithm for simulating the lattice CP(N-1) model has been tested so far, which also works at finite density. To this end we propose a new type of worm algorithm which is appropriate to simulate the lattice CP(N-1) model in a dual, flux-variables based representation, in which the introduction of a chemical potential does not give rise to any complications.

Presentation materials

Slides

worm_algorithm_for_CPN_model.pdf