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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…

High Energy Physics - Lattice · Physics 2007-05-23 P. Vranas

We investigate domain-wall/quantum field theory correspondences in various dimensions. We give particular emphasis to the special case of the quantum mechanics of 0--branes.

High Energy Physics - Theory · Physics 2007-05-23 Eric Bergshoeff , Rein Halbersma

We present a new auxiliary field representation for the four-fermi term of the gauge-fixed Green-Schwarz superstring action which describes fluctuations around the null-cusp background in $AdS_5\times S^5$. We sketch the main features of…

High Energy Physics - Lattice · Physics 2017-02-08 Valentina Forini , Lorenzo Bianchi , Bjoern Leder , Philipp Toepfer , Edoardo Vescovi

We introduce the formulation of domain wall fermions in the context of lattice QCD. We prove the recovery of exact chiral symmetry in the limit of an infinite fifth direction, and derive the effective four-dimensional operator satisfying…

High Energy Physics - Lattice · Physics 2026-05-19 Thomas Blum , Yigal Shamir

We calculate the low-lying eigenvalues and eigenvectors of the hermitian domain wall Dirac operator on various gauge backgrounds by Ritz minimization. The mass dependence of these eigenvalues is studied to extract the physical 4 dimensional…

High Energy Physics - Lattice · Physics 2007-05-23 Guofeng Liu

From a deformed AdS$_5$ space, we used the string/gauge duality to study the deep inelastic scattering for unpolarized fermions with spin 1/2, considering the large Bjorken $x$ parameter regime. Here, we also took into account an anomalous…

High Energy Physics - Phenomenology · Physics 2022-06-15 Eduardo Folco Capossoli , Miguel Angel Martín Contreras , Danning Li , Alfredo Vega , Henrique Boschi-Filho

We carry out a numerical simulation of a domain-wall model in (4+1) dimensions, in the presence of a quenched U(1) dynamical gauge field only in an extra dimension, corresponding to the weak coupling limit of a (4-dimensional) physical…

High Energy Physics - Lattice · Physics 2009-10-28 S. Aoki , K. Nagai

We show how the standard domain wall action can be simply modified to allow arbitrarily exact chiral symmetry at finite fifth dimensional extent. We note that the method can be used for both quenched and dynamical calculations. We test the…

High Energy Physics - Lattice · Physics 2014-11-17 R. G. Edwards , U. M. Heller

A holographic dual description of a 2+1 dimensional system of strongly interacting fermions at low temperature and finite charge density is given in terms of an electron cloud suspended over the horizon of a charged black hole in…

High Energy Physics - Theory · Physics 2015-03-17 V. Giangreco M. Puletti , S. Nowling , L. Thorlacius , T. Zingg

In perturbation theory, the wave function of domain-wall quarks decreases exponentially with the fifth coordinate. We show that, regardless of the quark's own momentum, the fall-off rate of the one-loop wave function is equal to the slowest…

High Energy Physics - Lattice · Physics 2009-10-31 Yigal Shamir

We study the ferminoic spectrum with Weyl correction, which exhibits the non-Fermi liquid behavior. Also, we find that both the height of the peak of the fermionic spectrum and the dispersion relation exhibit a nonlinearity with the variety…

High Energy Physics - Theory · Physics 2019-03-27 Jian-Pin Wu , Baicheng Xu , Guoyang Fu

We investigate the spectral function of fermions in a $p$-wave superconducting state, at finite both temperature and gravitational coupling, using the $AdS/CFT$ correspondence and extending previous research. We found that, for any coupling…

High Energy Physics - Theory · Physics 2017-10-10 G. L. Giordano , N. E. Grandi , A. R. Lugo

Quantum fluctuations of periodic domain-wall arrays in two-dimensional incommensurate states at zero temperature are investigated using the elastic theory in the vicinity of the commensurate-incommensurate transition point. Both stripe and…

Statistical Mechanics · Physics 2009-11-07 Tsutomu Momoi

The equivalence of domain wall and overlap fermion formulations is demonstrated for lattice gauge theories in 2+1 spacetime dimensions with parity-invariant mass terms. Even though the domain wall approach distinguishes propagation along a…

High Energy Physics - Lattice · Physics 2016-01-27 Simon Hands

We have investigated the fermionic spectral function in $p$-wave holographic superconductors. We show that the vector model with minimal coupling reveals a $p$-wave spectral function with Fermi arc. This should be contrasted with the…

High Energy Physics - Theory · Physics 2023-09-06 Debabrata Ghorai , Taewon Yuk , Sang-Jin Sin

We determine the zero eigenmode spectrum of Minimally Doubled Fermions (MDF), namely in Karsten-Wilczek (KW) and Borici-Creutz (BC) formulations on the 4-dimensional space-time lattice. We employ background gauge fields with integer valued…

High Energy Physics - Lattice · Physics 2026-02-24 Abhijeet Kishore , Subhasish Basak , Dipankar Chakrabarti

We study the axial U(1)A symmetry of Nf = 2 QCD at finite temperature using the Dirac eigenvalue spectrum. The gauge configurations are generated employing the Mobius domain-wall fermion action on 16^3x8 and 32^3x8 lattices. The physical…

High Energy Physics - Lattice · Physics 2014-12-24 Akio Tomiya , Guido Cossu , Hidenori Fukaya , Shoji Hashimoto , Junichi Noaki

In this paper, we study five-dimensional Dirac fermions of which extra-dimension is compactified on quantum graphs. We find that there is a non-trivial correspondence between matrices specifying boundary conditions at the vertex of the…

High Energy Physics - Theory · Physics 2022-10-20 Tomonori Inoue , Makoto Sakamoto , Masatoshi Sato , Inori Ueba

We formulate a general sufficiency criterion for discreteness of the spectrum of both supersymmmetric and non-su-persymmetric theories with a fermionic contribution. This criterion allows an analysis of Hamiltonians in complete form rather…

High Energy Physics - Theory · Physics 2012-10-26 Lyonell Boulton , Maria Pilar Garcia del Moral , Alvaro Restuccia

We study the transfer matrix for domain wall fermions to understand the origin and significance of oscillatory contributions to hadron correlation functions that arise for M >1. For a free particle in one space, one time, and one flavor…

High Energy Physics - Lattice · Physics 2008-11-26 Sergey Syritsyn , John W. Negele
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