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Staggered Domain Wall Fermions (SDWF) combine the attractive chiral properties of staggered fermions with those of domain wall fermions. SDWF describe four flavors with exact U(1)xU(1) flavor chiral symmetry. An extra lattice dimension is…

高能物理 - 格点 · 物理学 2007-05-23 G. T. Fleming , P. M. Vranas

After briefly reviewing the potential for the $N$-flavor Thirring model, formulated with reducible fermions in 2+1$d$, to exhibit a strongly-coupled UV-stable fixed point where U($2N$) symmetry is spontaneously broken by a fermion bilinear…

高能物理 - 格点 · 物理学 2023-11-27 Simon Hands , Jude Worthy

Topological insulators are a new class of materials which have gapped spectra in the bulk, but are accompanied by topologically protected gapless excitations at the surface (edge) of the system. These phenomena have a close relationship…

介观与纳米尺度物理 · 物理学 2015-11-30 Taro Kimura

Currently, much interest is drawn to the analysis of optical and matter-wave modes supported by the fractional diffraction in nonlinear media. We predict a new type of such states, in the form of domain walls (DWs) in the two-component…

光学 · 物理学 2022-11-23 Shatrughna Kumar , Pengfei Li , Boris A. Malomed

The Ising spin glass in two dimensions exhibits rich behavior with subtle differences in the scaling for different coupling distributions. We use recently developed mappings to graph-theoretic problems together with highly efficient…

无序系统与神经网络 · 物理学 2018-03-02 Hamid Khoshbakht , Martin Weigel

The aim of this work is to study homogeneous stable solutions to the thin (or fractional) one-phase free boundary problem. The problem of classifying stable (or minimal) homogeneous solutions in dimensions $n\geq3$ is completely open. In…

偏微分方程分析 · 数学 2022-04-21 Xavier Fernández-Real , Xavier Ros-Oton

We construct models of excitations about a Fermi surface that display calculable deviations from Fermi liquid behavior in the low-energy limit. They arise as a consequence of coupling to a Chern-Simons gauge field, whose fluctations are…

凝聚态物理 · 物理学 2009-10-22 Chetan Nayak , Frank Wilczek

We present results on the finite temperature QCD transition with 2+1 flavors using Domain Wall Fermions (DWF) with the Dislocation Suppressing Determinant Ratio (DSDR). In particular, we discuss how the use of DSDR allows us to study the…

高能物理 - 格点 · 物理学 2019-08-13 Michael Cheng

We present results from calculations of different quark number and hadronic susceptibilities on 2+1-flavor dynamical domain wall ensembles. We find that the iso-spin and electric charge susceptibilities are especially well suited to…

高能物理 - 格点 · 物理学 2010-01-21 Prasad Hegde , Frithjof Karsch , Christian Schmidt

We present a formulation of domain wall fermions in the Schroedinger functional by following the universality argument given by L\"uscher. To check whether the formulation works, we examine the lowest eigenmode of the free domain wall…

高能物理 - 格点 · 物理学 2010-11-05 Shinji Takeda

We present physical results for a variety of light hadronic quantities obtained via a combined analysis of three 2+1 flavour domain wall fermion ensemble sets. For two of our ensemble sets we used the Iwasaki gauge action with beta=2.13…

It is shown that it is possible to consistently and gauge invariantly formulate models where the coupling constant is a non trivial function of a scalar field . In the $U(1)$ case the coupling to the gauge field contains a term of the form…

高能物理 - 理论 · 物理学 2015-06-17 E. I. Guendelman , R. Steiner

A possible explanation for the appearance of light fermions and Higgs bosons on the four-dimensional domain wall is proposed. The mechanism of light particle trapping is accounted for by a strong self-interaction of five-dimensional…

高能物理 - 唯象学 · 物理学 2009-11-10 A. A. Andrianov , V. A. Andrianov , P. Giacconi , R. Soldati

Feynman rules for the vacuum amplitude of fermions coupled to external gauge and Higgs fields in a domain wall lattice model are derived using time--dependent perturbation theory. They have a clear and simple structure corresponding to…

高能物理 - 理论 · 物理学 2016-09-06 S. Randjbar-Daemi , J. Strathdee

We extend work by Callan and Harvey and show how the phase of the chiral fermion determinant in four dimensions is reproduced by zeromodes bound to a domain wall in five dimensions. The analysis could shed light on the applicability of…

高能物理 - 理论 · 物理学 2019-08-15 David B. Kaplan , Martin Schmaltz

We study kink (domain wall) solutions in a model consisting of two complex scalar fields coupled to two independent Abelian gauge fields in a Lagrangian that has $U(1)\times U(1)$ gauge plus $\mathbb{Z}_2$ discrete symmetry. We find…

高能物理 - 理论 · 物理学 2015-06-26 J. S. Rozowsky , R. R. Volkas , K. C. Wali

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…

高能物理 - 格点 · 物理学 2008-11-26 Pavlos M. Vranas

Applications of Domain Wall fermions to various vector-like lattice theories are reviewed with an emphasis on QCD thermodynamics. Methods for improving their chiral properties at strong coupling are discussed and results from implementing…

高能物理 - 格点 · 物理学 2007-05-23 P. Vranas

We consider the signatures of a domain wall produced in the spontaneous symmetry breaking involving a dilaton-like scalar field coupled to electromagnetism. Domains on either side of the wall exhibit slight differences in their respective…

宇宙学与河外天体物理 · 物理学 2011-02-18 Keith A. Olive , Marco Peloso , Jean-Philippe Uzan

Studying various thermodynamic quantities for the free domain wall fermions for both finite and infinite fifth dimensional extent N_5, we find that the lattice corrections are minimum for $N_T\geq10$ for both energy density and…

高能物理 - 格点 · 物理学 2009-11-06 R. V. Gavai , Sayantan Sharma