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For the Lorentz gauge the influence of various Gribov gauge copies on the fermion propagator is investigated in quenched compact lattice QED. Within the Coulomb phase besides double Dirac sheets the zero-momentum modes of the gauge fields…

High Energy Physics - Lattice · Physics 2009-10-31 I. L. Bogolubsky , V. K. Mitrjushkin , M. Müller-Preussker , P. Peter , N. V. Zverev

For the Lorentz gauge the influence of Gribov copies on the fermion propagator is investigated in quenched lattice compact QED. In the Coulomb phase zero-momentum modes of the gauge fields are shown to be the main reason for a significant…

High Energy Physics - Lattice · Physics 2015-06-25 I. L. Bogolubsky , V. K. Mitrjushkin , M. Müller-Preussker , P. Peter , N. V. Zverev

We study the phase structure and the chiral limit of $4d$ compact lattice QED with Wilson fermions (both dynamical and quenched). We use the standard Wilson gauge action and also a modified one suppressing lattice artifacts. Different…

High Energy Physics - Lattice · Physics 2009-10-22 A. Hoferichter , V. K. Mitrjushkin , M. Müller-Preussker , T. Neuhaus , H. Stüben

The finite size effect on hadron physics and quark matter has attracted much interest for more than three decades, normally both the periodic (with zero-momentum mode) and the anti-periodic (without zero-momentum mode) spatial boundary…

High Energy Physics - Phenomenology · Physics 2021-12-16 Kun Xu , Mei Huang

The Gribov ambiguity problem is studied for compact lattice QED within the Lorentz gauge. In the Coulomb phase, Gribov copies are mainly caused by double Dirac sheets and zero-momentum modes of the gauge fields. Removing them by (non-)…

High Energy Physics - Lattice · Physics 2007-05-23 I. L. Bogolubsky , V. K. Mitrjushkin , M. Muller-Preussker , P. Peter , N. V. Zverev

Different formulations of the $4d$ compact lattice QED with staggered fermions (standard Wilson and modified by suppression of lattice artifacts) are investigated by Monte Carlo simulations within the quenched approximation. We show that…

High Energy Physics - Lattice · Physics 2009-10-22 A. Hoferichter , V. K. Mitrjushkin , M. Müller-Preussker

Four-dimensional heavy-fermion QED is studied in light-cone coordinates with (anti-)periodic field boundary conditions. We carry out a consistent light-cone canonical quantization of this model using the Dirac algorithm for a system with…

High Energy Physics - Phenomenology · Physics 2009-10-22 Robert W. Brown , Jin Woo Jun , Shmaryu M. Shvartsman , Cyrus C. Taylor

We introduce a simple method to find localized exact fermionic zero modes for any local fermionic action. The zero modes are attached to specific local gauge configurations. Examples are provided for staggered and Wilson fermion actions in…

High Energy Physics - Lattice · Physics 2009-10-31 F. Berruto , R. Narayanan , H. Neuberger

I discuss the zeromode spectrum of lattice chiral fermions in the domain wall model suggested recently. In particular I give the critical momenta where the fermions cease to be chiral and show that the spectrum is directly related to the…

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

By comparison of the quenched and full formulations of compact QED with Wilson fermions we single out the effects of dynamical fermions on the `chiral transition line' within the confinement phase. It is shown that this line cannot…

High Energy Physics - Lattice · Physics 2009-10-30 A. Hoferichter , V. K. Mitrjushkin , M. Müller-Preussker , H. Stüben

A method for simulating chiral gauge theories on the lattice is proposed, involving zeromodes on a topological defect. Lattice doublers may be decoupled in a gauge invariant manner, and flavor anomalies can be directly observed on a finite…

High Energy Physics - Lattice · Physics 2011-07-19 D. B. Kaplan

We study the phase structure and chiral limit of $4d$ compact lattice QED with Wilson fermions (both dynamical and quenched). We use the standard Wilson action (WA) and also the modified action (MA) with some lattice artifacts suppressed.…

High Energy Physics - Lattice · Physics 2009-10-22 A. Hoferichter , V. K. Mitrjushkin , M. Müller-Preussker , Th. Neuhaus

We study the underlying topology of gauge fields in 2+1 flavor QCD with domain wall fermions on lattices of size $32^3\times 8$, at and immediately above the chiral crossover transition. Using valence overlap fermions with exact index…

High Energy Physics - Lattice · Physics 2019-06-14 Rasmus N. Larsen , Sayantan Sharma , Edward Shuryak

We consider fermions in the field of static monopole-like configurations in the Euclidean space-time. In all the cases considered there exists an infinite number of zero modes, labeled by frequency i\omega. The existence of such modes is a…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. N. Chernodub , V. I. Zakharov

We prove the existence of zero modes of massless quarks in a background of spaghetti vacuum of chromomagnetic vortices in QCD. We find a general solution for the zero modes and show that the modes can be localized at pairs of vortices.

High Energy Physics - Theory · Physics 2014-03-26 M. N. Chernodub , Tigran Kalaydzhyan , Jos Van Doorsselaere , Henri Verschelde

The domain wall approach to lattice fermions employs an additional dimension, in which gauge fields are merely replicated, to separate the chiral components of a Dirac fermion. It is known that in the limit of infinite separation in this…

High Energy Physics - Lattice · Physics 2009-10-31 P. Chen , N. Christ , G. Fleming , A. Kaehler , C. Malureanu , R. Mawhinney , C. Sui , P. Vranas , Y. Zhestkov

We explore the properties of low lying eigenmodes of fermions in the quenched approximation of lattice QCD. The fermion action is a recently proposed overlap action and has exact chiral symmetry. We find that chiral zero-eigenvalue modes…

High Energy Physics - Lattice · Physics 2009-10-31 Thomas DeGrand , Anna Hasenfratz

I report on recent results obtained within the Hamiltonian approach to QCD in Coulomb gauge. By relating the Gribov confinement scenario to the center vortex picture of confinement it is shown that the Coulomb string tension is tied to the…

High Energy Physics - Theory · Physics 2017-04-05 H. Reinhardt , G. Burgio , D. Campagnari , E. Ebadati , J. Heffner , M. Quandt , P. Vastag , H. Vogt

The chiral extension of Quantum Chromodynamics (XQCD) adds to the standard lattice action explicit pseudoscalar meson fields for the chiral condensates. With this action, it is feasible to do simulations at the chiral limit with zero mass…

High Energy Physics - Lattice · Physics 2009-10-28 R. C. Brower , K. Orginos , C-I Tan

In continuum QCD, nontrivial gauge topologies give rise to zero eigenvalues of the massless Dirac operator. In lattice QCD with Wilson fermions, these zero modes appear as exactly real eigenvalues of the Wilson-Dirac operator and hence as…

High Energy Physics - Lattice · Physics 2009-10-30 W. Bardeen , A. Duncan , E. Eichten , G. Hockney , H. Thacker
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