RECORD
Gap Domain Wall Fermions
High Energy Physics - Lattice · Submitted 22 Jun 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim I demonstrate that the chiral properties of Domain Wall Fermions (DWF) in the large to intermediate lattice spacing regime of QCD, 1 to 2 GeV, are significantly improved by adding to the action two standard Wilson fermions with supercritical mass equal to the negative DWF five dimensional mass.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
I demonstrate that the chiral properties of Domain Wall Fermions (DWF) in the large to intermediate lattice spacing regime of QCD, 1 to 2 GeV, are significantly improved by adding to the action two standard Wilson fermions with supercritical mass equal to the negative DWF five dimensional mass. Using quenched DWF simulations I show that the eigenvalue spectrum of the transfer matrix Hamiltonian develops a substantial gap and that the residual mass decreases appreciatively. Furthermore, I confirm that topology changing remains active and that the hadron spectrum of the added Wilson fermions is above the lattice cutoff and therefore is irrelevant. I argue that this result should also hold for dynamical DWF and furthermore that it should improve the chiral properties of related fermion methods.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | I demonstrate that the chiral properties of Domain Wall Fermions (DWF) in the large to intermediate lattice spacing regime of QCD, 1 to 2 GeV, are significantly improved by adding to the action two standard Wilson fermions with supercritical mass equal to the negative DWF five dimensional mass. | contribution 0.57 | 0.93 | 0.79 | asserted 1.00 |
| s1 | Using quenched DWF simulations I show that the eigenvalue spectrum of the transfer matrix Hamiltonian develops a substantial gap and that the residual mass decreases appreciatively. | result 0.99 | 0.96 | 0.23 | asserted 1.00 |
| s2 | Furthermore, I confirm that topology changing remains active and that the hadron spectrum of the added Wilson fermions is above the lattice cutoff and therefore is irrelevant. | result 1.00 | 0.89 | 0.09 | asserted 1.00 |
| s3 | I argue that this result should also hold for dynamical DWF and furthermore that it should improve the chiral properties of related fermion methods. | interpretation 0.98 | 0.30 | 0.25 | hedged possibility 0.73 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
I demonstrate that the chiral properties of Domain Wall Fermions (DWF) in the large to intermediate lattice spacing regime of QCD, 1 to 2 GeV, are significantly improved by adding to the action two standard Wilson fermions with supercritical mass equal to the negative DWF five dimensional mass. Using quenched DWF simulations I show that the eigenvalue spectrum of the transfer matrix Hamiltonian develops a substantial gap and that the residual mass decreases appreciatively. Furthermore, I confirm that topology changing remains active and that the hadron spectrum of the added Wilson fermions is above the lattice cutoff and therefore is irrelevant. I argue that this result should also hold for dynamical DWF and furthermore that it should improve the chiral properties of related fermion methods.
Human review
References
How the literature uses it
24 arXiv papers cite this in 28 sentences
Papers citing it · 14 sentences without a confident label
Uses its method or tool 11 papers
-
To study the chiral magnetic effect in 2+1 flavor QCD at non-zero temperature and topological charge, we use DWF on a lattice of size $16^3×8$, the RHMC algorithm of Clark and Kennedy, and an auxiliary determinant (to fix the topological charge) [ref] .
Chiral magnetic effect in 2+1 flavor QCD+QED · Simulation details · 0.99
-
We suppress them by introducing extra heavy Wilson fermions (and associated ghosts) [ref] .
Physics results from dynamical overlap fermion simulations · Simulation strategy and status · 0.95
-
We therefore adopt the same Iwasaki gauge action augmented with dislocation suppression determinant ratio (DSDR) [ref] and the domain wall fermion (DWF) action with $2+1$ flavors.
The QCD chiral transition, $\ua$ symmetry and the Dirac spectrum using domain wall fermions · Ensemble details · 0.93
Cites it as background 1 paper
-
Several strategies to allow for both small $m_res$ and $L_5$ exist in the literature [ref] , and can be combined with the Möbius Domain Wall Fermion (MDWF) prescription [ref] .
$F_K/F_\pi$ as a precision test of a new four flavor Domain Wall Fermion action · Introduction · 0.83
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.