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- Yigal Shamir
- 1993

We construct a model in which four dimensional chiral fermions arise on the boundaries of a five dimensional lattice with free boundary conditions in the fifth direction. The physical content is similar to Kaplan's model of domain wall fermions, yet the present construction has several technical advantages. We discuss some aspects of perturbation theory, as… (More)

- Maarten F L Golterman, Yigal Shamir
- 1994

In this paper we return to a model with domain wall fermions in a waveguide. This model contains a Yukawa coupling y which is needed for gauge invariance. A previous paper left the analysis for large values of this coupling incomplete. We fill the gap by developing a systematic expansion suitable for large y, and using this, we gain an analytic… (More)

- Yigal Shamir, Benjamin Svetitsky, Thomas DeGrand
- 2008

We have carried out a Schrodinger functional (SF) calculation for the SU(3) lattice gauge theory with two flavors of Wilson fermions in the sextet representation of the gauge group. We find that the discrete beta function, which governs the change in the running coupling under a discrete change of spatial scale, changes sign when the SF renormalized… (More)

- Thomas DeGrand, Yigal Shamir, Benjamin Svetitsky
- 2010

We have measured the running coupling constant of SU(3) gauge theory coupled to N f = 2 flavors of symmetric representation fermions, using the Schrödinger functional scheme. Our lattice action is defined with hypercubic smeared links which, along with the larger lattice sizes, bring us closer to the continuum limit than in our previous study. We observe… (More)

- Thomas DeGrand, Yigal Shamir, Benjamin Svetitsky
- 2008

We have performed numerical simulations of SU(3) gauge theory coupled to N f = 2 flavors of symmetric representation fermions. The fermions are discretized with the tadpole-improved clover action. Our simulations are done on lattices of length L = 6, 8, and 12. In all simulation volumes we observe a crossover from a strongly coupled confined phase to a weak… (More)

- Claude Bernard, Maarten Golterman, Yigal Shamir
- 2006

We show that the use of the fourth-root trick in lattice QCD with staggered fermions corresponds to a non-local theory at non-zero lattice spacing, but argue that the non-local behavior is likely to go away in the continuum limit. We give examples of this non-local behavior in the free theory, and for the case of a fixed topologically non-trivial background… (More)

- Thomas DeGrand, Yigal Shamir, Benjamin Svetitsky
- 2011

We apply Schrödinger-functional techniques to the SU(2) lattice gauge theory with N f = 2 flavors of fermions in the adjoint representation. Our use of hypercubic smearing enables us to work at stronger couplings than did previous studies, before encountering a critical point and a bulk phase boundary. Measurement of the running coupling constant gives… (More)

- Thomas DeGrand, Yigal Shamir, Benjamin Svetitsky
- 2013

We extend our previous study of the SU(3) gauge theory with N f = 2 flavors of fermions in the sextet representation of color. Our tool is the Schrödinger functional method. By changing the lattice action, we push the bulk transition of the lattice theory to stronger couplings and thus reveal the beta function and the mass anomalous dimension γm over a… (More)

- Maarten Golterman, Yigal Shamir, Benjamin Svetitsky

We determine the location λc of the mobility edge in the spectrum of the hermitian Wilson operator on quenched ensembles. We confirm a theoretical picture of localization proposed for the Aoki phase diagram. When λc > 0 we also determine some key properties of the localized eigenmodes with eigenvalues |λ| < λc. Our results lead to simple tests for the… (More)