REVIEW 2 cited by
A simulation of the Schwinger model in the overlap formalism
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
In the continuum, the single flavor massless Schwinger model has an exact global axial $U(1)$ symmetry in the sector of perturbative gauge fields. This symmetry is explicitly broken by gauge fields with nonzero topological charge inducing a nonzero expectation value for the bilinear $\bar\psi\psi$. We show that a lattice formulation of this model, using the overlap formalism to treat the massless fermions, explicitly exhibits this phenomenon. A Monte Carlo simulation of the complete system yields the correct value of the fermion condensate and shows unambiguously that it originates from the sector of topological charge equal to unity.
Forward citations
Cited by 2 Pith papers
-
Bifrost-1: Bridging Multimodal LLMs and Diffusion Models with Patch-level CLIP Latents
In 2D SU(2) with a massless Majorana fermion, two of the four partition functions vanish in the continuum limit; the topological condensate approaches 0.162(3) per color degree of freedom, and there is no spontaneous ...
-
Lattice study of two-dimensional SU(2) gauge theories with a single massless Majorana fermion
For 2D SU(2) gauge theory with one massless Majorana fermion, only one of the two overlap zero-mode classes survives the continuum limit depending on boundary conditions, and a zero-mode-excluding 'topological condens...
Discussion (0). Sign in to comment.