Critical behaviour in the single-flavor Planar Thirring Model

27 Jul 2021, 05:30
15m
Oral presentation Theoretical developments and applications beyond particle physics Theoretical developments and applications beyond particle physics

Speaker

Simon Hands

Description

The Thirring model describes relativistic fermions with a contact interaction between conserved fermion currents. In 2+1 spacetime dimensions its U($2N$) global symmetry is broken at strong coupling to U($N)\otimes$U($N$) through generation of a non-vanishing bilinear condensate $\langle\bar\psi\psi\rangle\not=0$. I present results of numerical simulations of the single-flavour model using domain wall fermions, which preserve U(2) in the limit wall separation $L_s\to\infty$. The results confirm symmetry breaking takes place implying the critical flavour number $N_c\geq1$. I will also present results for the critical equation of state showing it is consistent with the existence of a quantum critical point with critical exponents distinct from those obtained with staggered fermions.

Primary author

Co-authors

Dr Michele Mesiti (Swansea University) Mr Jude Worthy (Swansea University)

Presentation materials