Numerical study of the $2+1d$ Thirring model with U($2N$)-invariant fermions

25 Aug 2017  ·  Hands Simon ·

In 2+1 dimensions the global U($2N$) symmetry associated with massless Dirac fermions is broken to U($N)\otimes$U($N$) by a parity-invariant mass. I will show how to adapt the domain wall formulation to recover the U($2N$)-invariant limit in interacting fermion models as the domain wall separation is increased... In particular, I will focus on the issue of potential dynamical mass generation in the Thirring model, postulated to take place for $N$ less than some critical $N_c$. I will present results of simulations of the model using both HMC ($N=2$) and RHMC ($N=1$) algorithms, and show that the outcome is very different from previous numerical studies of the model made with staggered fermions, where the corresponding pattern of symmetry breaking is distinct. read more

PDF Abstract
No code implementations yet. Submit your code now


High Energy Physics - Lattice