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We consider Kaplan's domain wall fermions in the presence of an Anti-de Sitter (AdS) background in the extra dimension. Just as in the flat space case, in a completely vector-like gauge theory defined after discretizing this extra…

High Energy Physics - Lattice · Physics 2009-09-17 Tanmoy Bhattacharya , Csaba Csaki , Matthew R. Martin , Yuri Shirman , John Terning

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…

High Energy Physics - Lattice · Physics 2008-11-26 Pavlos M. Vranas

We consider a Dirac field in 2+1 dimensions with a domain wall like defect in its mass, minimally coupled to a dynamical Abelian vector field. The mass of the fermionic field is assumed to have just one linear domain wall, which is…

High Energy Physics - Theory · Physics 2009-11-07 L. Da Rold , C. D. Fosco , A. Lopez

The ensemble of Euclidean gluon field configurations represented by the domain wall network is considered. A single domain wall is given by the sine-Gordon kink for the angle between chromomagnetic and chromoelectric components of the gauge…

High Energy Physics - Phenomenology · Physics 2015-06-18 Sergei N. Nedelko , Vladimir E. Voronin

We study $N$ noninteracting fermions in a domain bounded by a hard wall potential in $d \geq 1$ dimensions. We show that for large $N$, the correlations at the edge of the Fermi gas (near the wall) at zero temperature are described by a…

Statistical Mechanics · Physics 2018-01-17 Bertrand Lacroix-A-Chez-Toine , Pierre Le Doussal , Satya N. Majumdar , Gregory Schehr

We report on an exploratory study of N_f=2 dynamical domain wall fermions and the DBW2 gauge action at weak coupling. Details of improved simulation algorithms and preliminary results for the hadron spectrum and renormalised light and…

High Energy Physics - Lattice · Physics 2009-11-10 Chris Dawson

We consider Gaussian fluctuations about domain walls embedded in one- or two-dimensional spin lattices. Analytic expressions for the free energy of one domain wall are obtained. From these, the temperature dependence of experimentally…

Mesoscale and Nanoscale Physics · Physics 2014-02-04 Boris Sangiorgio , Thomas C. T. Michaels , Danilo Pescia , Alessandro Vindigni

We carry out the first holographic calculation of a fermionic response function for a strongly coupled $d=3$ system with an explicit D=10 or D=11 supergravity dual. By considering the supersymmetry current, we obtain a universal result…

High Energy Physics - Theory · Physics 2013-05-29 Jerome P. Gauntlett , Julian Sonner , Daniel Waldram

The two-dimensional Schwinger model is used to explore how lattice fermion operators perceive the global topological charge $q \in \mathbb{Z}$ of a given background gauge field. We focus on Karsten-Wilczek and Borici-Creutz fermions, which…

High Energy Physics - Lattice · Physics 2022-07-13 Stephan Dürr , Johannes H. Weber

The transmission of correlated electrons through a domain wall in a ferromagnetic one dimensional system is studied theoretically in the limit of a domain wall width smaller or comparable to the electron Fermi wavelength. The domain wall…

Strongly Correlated Electrons · Physics 2007-05-23 M. A. N. Araujo , V. K. Dugaev , V. R. Vieira , J. Berakdar , J Barnas

Fermi arcs are disconnected contour of Fermi surface, which can be observed in the pseudo-gap phase of high temperature superconductors. Aiming to understand this pseudo-gap phenomena, we study a holographic Fermionic system coupled with a…

High Energy Physics - Theory · Physics 2019-07-11 Sayan Chakrabarti , Debaprasad Maity , Wadbor Wahlang

We construct domain wall fermions with a staggered kernel and investigate their spectral and chiral properties numerically in the Schwinger model. In some relevant cases we see an improvement of chirality by more than an order of magnitude…

High Energy Physics - Lattice · Physics 2016-12-21 Christian Hoelbling , Christian Zielinski

We study the BPS spectrum of supersymmetric 5 dimensional field theories and their representations as string webs. It is found that a state of given charges exists when it has a representation as an irreducible string web. Its spin is…

High Energy Physics - Theory · Physics 2010-02-03 Barak Kol , J. Rahmfeld

In this letter we study fermionic zero modes in gauge and gravity backgrounds taking a two dimensional compact manifold $S^2$ as extra dimensions. The result is that there exist massless Dirac fermions which have normalizable zero modes…

High Energy Physics - Theory · Physics 2008-11-26 Yu-Xiao Liu , Li-Jie Zhang , Yi-Shi Duan

We investigate the holographic correspondence between (p+1)-dimensional ($0\le p\le 4$) SYM theories with 16 supercharges and superstring theories on the near-horizon limit of Dp-brane backgrounds. Following an approach based on the…

High Energy Physics - Theory · Physics 2009-11-10 Masako Asano , Yasuhiro Sekino

We consider a brane generated by a scalar field domain wall configuration in 4+1 dimensions, interpolating, in most cases, between two vacua of the field. We study the cosmology of such a system in the cases where the effective…

High Energy Physics - Phenomenology · Physics 2010-02-03 Tracy R. Slatyer , Raymond R. Volkas

We consider fermion systems on a square lattice with a mass term having a curved domain-wall. Similarly to the conventional flat domain-wall fermions, massless and chiral edge states appear on the wall. In the cases of $S^1$ and $S^2$…

High Energy Physics - Lattice · Physics 2022-06-15 Shoto Aoki , Hidenori Fukaya

We investigate domain-wall/quantum field theory correspondences in various dimensions. Our general analysis does not only cover the well-studied cases in ten and eleven dimensions but also enables us to discuss new cases like a Type…

High Energy Physics - Theory · Physics 2009-10-31 Klaus Behrndt , Eric Bergshoeff , Rein Halbersma , Jan Pieter van der Schaar

We calculate the damping of excitations due to four-fermionic interaction in the case of two-dimensional superconductor with nodes in the spectrum. At zero temperature and low frequencies it reveals gapless $\omega^3$ behavior at the nodal…

Condensed Matter · Physics 2010-05-19 M. L. Titov , A. G. Yashenkin , D. N. Aristov

New exact upper and lower bounds are derived on the spectrum of the square of the hermitian Wilson Dirac operator. It is hoped that the derivations and the results will be of help in the search for ways to reduce the cost of simulations…

High Energy Physics - Lattice · Physics 2009-07-09 H. Neuberger