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We investigate a U(1) lattice chiral gauge theory with domain wall fermions and gauge fixing. In the reduced model limit, our perturbative and numerical investigations at Yukawa coupling y=1 show that there are no extra mirror chiral modes.…

High Energy Physics - Lattice · Physics 2008-11-26 S. Basak , Asit K. De

Recently, the interest in local lattice actions for chiral fermions has revived, with the proposition of new local actions in which only the minimal number of doublers appear. The trigger role of graphene having a minimally doubled,…

High Energy Physics - Lattice · Physics 2011-02-18 Jutho Haegeman , Henri Verschelde

We discuss how to formulate Dirac fermion operator on a finite lattice such that it can provide a nonperturbative regularization for massless fermion interacting with a background gauge field.

High Energy Physics - Lattice · Physics 2011-02-16 Ting-Wai Chiu

We describe a way to optimize the chiral behavior of Wilson-type lattice fermion actions by studying the low energy real eigenmodes of the Dirac operator. We find a candidate action, the clover action with fat links with a tuned clover…

High Energy Physics - Lattice · Physics 2007-05-23 Thomas DeGrand , Anna Hasenfratz , Tamás G. Kovács

We present the leading order mixed-action effect $\Delta_{\rm mix}\equiv m_{\pi,{\rm vs}}^2-\frac{m_{\pi,{\rm vv}}^2+m_{\pi,{\rm ss}}^2}{2}$ using HISQ, clover or overlap valence fermion actions on gauge ensembles using various sea fermion…

High Energy Physics - Lattice · Physics 2023-05-10 Dian-Jun Zhao , Gen Wang , Fangcheng He , Luchang Jin , Peng Sun , Yi-Bo Yang , Kuan Zhang

A calculation of the chiral anomaly on a finite lattice without fermion doubling is presented . The lattice gauge field is defined in the spirit of noncommutative geometry. Standard formulas for the continuum anomaly are obtained as a…

High Energy Physics - Lattice · Physics 2007-05-23 Jouko Mickelsson

We review the status of the domain wall fermion approach to construct chiral gauge theories on the lattice. In this model an extra, fifth dimension is added and our 4-dimensional world lives on a domainwall induced by a soliton shaped mass…

High Energy Physics - Lattice · Physics 2015-06-25 Karl Jansen

Perturbative analyses seem to suggest that fermions whose mass comes solely from a Yukawa coupling to a scalar field can be made arbitrarily heavy, while the scalar remains light. The effects of the fermion can be summarized by a local…

High Energy Physics - Lattice · Physics 2011-04-20 T. Banks , A. Dabholkar

The lattice system with competing interactions that models biological objects (colloids, ensembles of protein molecules, etc.) is considered. This system is the lattice fluid on a square lattice with attractive interaction between nearest…

Soft Condensed Matter · Physics 2018-12-21 Ya. G. Groda , V. S. Vikhrenko , D. di Caprio

We discuss the quantum computation of dynamical chirality production in lattice gauge theory. Although the chirality of a lattice fermion is complicated in general dimensions, it can be simply formulated on a one-dimensional lattice. The…

High Energy Physics - Lattice · Physics 2024-02-05 Tomoya Hayata , Katsumasa Nakayama , Arata Yamamoto

It is shown numerically, in a chiral U(1) gauge Higgs theory in which the left and right-handed fermion components have opposite U(1) charges, that the spectrum of gauge and Higgs fields surrounding a static fermion contains both a ground…

High Energy Physics - Lattice · Physics 2021-09-08 Jeff Greensite

The feasibility of using lattice chiral fermions which are free of $O(a)$ errors for both the heavy and light quarks is examined. The fact that the effective quark propagators in these fermions have the same form as that in the continuum…

High Energy Physics - Lattice · Physics 2009-11-07 K. F. Liu , S. J. Dong

We consider anomaly free combinations of chiral fermions coupled to $U(1)$ gauge fields on a 2D torus first in the continuum and then on the lattice in the overlap formulation. Both in the continuum and on the lattice, when the background…

High Energy Physics - Theory · Physics 2009-10-30 Rajamani Narayanan , Herbert Neuberger

Path integration over Euclidean chiral fermions is replaced by the quantum mechanics of an auxiliary system of non--interacting fermions. Our construction avoids the no--go theorem and faithfully maintains all the known important features…

High Energy Physics - Theory · Physics 2009-10-28 Rajamani Narayanan , Herbert Neuberger

The generalization of Lorentz invariance to solvable two-dimensional lattice fermion models has been formulated in terms of Baxter's corner transfer matrix. In these models, the lattice Hamiltonian and boost operator are given by…

High Energy Physics - Lattice · Physics 2009-10-28 H. B. Thacker

A model for lattice fermion is proposed which is, (i) free from doublers, (ii) hermitian, and (iii) chirally invariant. The price paid is the loss of hypercubic and reflection symmetries in the lattice action. Thanks to the…

High Energy Physics - Theory · Physics 2007-05-23 H. Banerjee , Asit K. De

We present a massively parallel quantum Monte Carlo based implementation of real-space dynamical mean-field theory for general inhomogeneous correlated fermionic lattice systems. As a first application, we study magnetic order in a binary…

Quantum Gases · Physics 2010-12-16 N. Blümer , E. V. Gorelik

We describe a conceptually simple, but important test for the overlap approach to the construction of lattice chiral gauge theories. We explain the equivalence of the overlap formula with a certain waveguide model for a simple set of gauge…

High Energy Physics - Lattice · Physics 2009-10-28 Maarten Golterman , Yigal Shamir

A recent proposal by Kaplan for a chiral gauge theory on the lattice is tested with background gauge fields. The spectrum of the finite lattice Hamiltonian is calculated and the existence of a chiral fermion is demonstrated. Lattice…

High Energy Physics - Lattice · Physics 2009-10-22 Karl Jansen

A lattice regularization procedure for gauge theories is proposed in which fermions are given a special treatment such that all chiral flavor symmetries that are free of Adler-Bell-Jackiw anomalies are kept intact. There is no doubling of…

High Energy Physics - Theory · Physics 2009-10-28 G. 't Hooft