PoS - Proceedings of Science
Volume 336 - XIII Quark Confinement and the Hadron Spectrum (Confinement2018) - G: Strongly Coupled Theories
Spontaneous Symmetry Breaking in the U(2) Planar Thirring Model?
S. Hands
Full text: pdf
Pre-published on: September 12, 2019
Published on: September 26, 2019
Whether the U($2N$) symmetry of Dirac fermions in 2+1 space-time dimensions is spontaneously broken by pair condensation once interactions are present is an important problem in non-perturbative quantum field theory. Here I focus on the Thirring model, whose interaction is a current-current contact term, using numerical simulations of a lattice model formulated with domain wall fermions -- it has previously been demonstrated that U($2N$) symmetry is recovered in the limit of infinite wall separation. I present results obtained with flavor numbers $N=1$ and 2, and will attempt to put both upper and lower bounds on $N_c$, the critical number of flavors above which symmetry breaking does not occur even for arbitrarily strong coupling. The resulting $N_c$ will be shown to be very far from the value $N_c\approx6.6$ obtained using staggered lattice fermions, which do not observe U($2N$) symmetry.
DOI: https://doi.org/10.22323/1.336.0221
How to cite

Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.

Open Access
Creative Commons LicenseCopyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.