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hep-lat2015★ 1 cited

The Yang-Mills vacuum wave functional thirty-five years later

Stefan Olejnik

The first paper attempting direct calculation of the Yang-Mills vacuum wave functional was published by Greensite in 1979. I review some recent results of the determination of the…

hep-lat2013

Measuring the ground-state wave functional of SU(2) Yang-Mills theory in 3+1 dimensions: Abelian plane waves

Jeff Greensite, Stefan Olejnik

A method of measuring relative probabilities of various gauge-field configurations in the Yang-Mills vacuum was proposed long ago [Phys. Lett. B 223 (1989) 207]. We applied this me…

hep-lat2013★ 3 cited

Numerical study of the Yang-Mills vacuum wavefunctional in D=3+1 dimensions

Jeff Greensite, Stefan Olejnik

Ratios of the true Yang-Mills vacuum wavefunctional, evaluated on any two field configurations out of a finite set of configurations, can be obtained from lattice Monte Carlo simul…

hep-lat2011★ 5 cited

Yang-Mills Theory in lambda-Gauges

Axel Maas, Tereza Mendes, Stefan Olejnik

The gauge-independent phenomenon of color confinement in Yang-Mills theory manifests itself differently in different gauges. Therefore, the gauge dependence of quantities related t…

hep-lat2011

Monopoles in the Plaquette Formulation of the 3D SU(2) Lattice Gauge Theory

O. Borisenko, S. Voloshyn, J. Boháčik

Using a plaquette formulation for lattice gauge models we describe monopoles of the three dimensional SU(2) theory which appear as configurations in the complete axial gauge and vi…

hep-lat2011

Adjoint torelons, and the persistence of color electric flux tubes in the deconfined phase

J. Greensite, S. Olejnik

It is argued that the adjoint torelon loop, i.e. a Polyakov loop in the adjoint representation running in a spatial, rather than temporal, direction, is an observable which is sens…

hep-lat2011★ 35 cited

Testing Proposals for the Yang-Mills Vacuum Wavefunctional by Measurement of the Vacuum

J. Greensite, H. Matevosyan, S. Olejnik +3

We review a method, suggested many years ago, to numerically measure the relative amplitudes of the true Yang-Mills vacuum wavefunctional in a finite set of lattice-regulated field…

hep-lat2010★ 11 cited

Coulomb Confinement from the Yang-Mills Vacuum State in 2+1 Dimensions

J. Greensite, S. Olejnik

The Coulomb-gauge ghost propagator, and the color-Coulomb potential, are computed in an ensemble of configurations derived from our recently proposed Yang-Mills vacuum wavefunction…

hep-lat2009

Properties of canonical fermion determinants with a fixed quark number

Julia Danzer, Christof Gattringer, Ludovit Liptak

Using a dimensional reduction formula for the lattice fermion determinant we study canonical determinants on quenched SU(3) gauge configurations. The canonical determinants decribe…

hep-lat2009

Vacuum structure and Casimir scaling in Yang-Mills theories

S. Olejnik

The vacuum of Yang-Mills theories can be imagined as a magnetically disordered medium with domain structure, with color magnetic flux in each domain quantized in units correspondin…

hep-lat2009

Gluon chains and the quark-antiquark potential

J. Greensite, S. Olejnik

The flux tube between a quark and an antiquark in Coulomb gauge is imagined in the gluon-chain model as a sequence of constituent gluons bound together by Coulombic nearest-neighbo…

hep-lat2009★ 17 cited

A study of the sign problem for lattice QCD with chemical potential

Julia Danzer, Christof Gattringer, Ludovit Liptak +1

We study the expectation value of the phase of the fermion determinant for Wilson lattice fermions with chemical potential. We use quenched SU(3) ensembles and implement a recently…

hep-lat2009★ 17 cited

Canonical fermion determinants in lattice QCD - Numerical evaluation and properties

Erek Bilgici, Julia Danzer, Christof Gattringer +2

We analyze canonical fermion determinants, i.e., fermion determinants projected to a fixed quark number q. The canonical determinants are computed using a dimensional reduction for…

hep-lat2009★ 17 cited

Constituent Gluon Content of the Static Quark-Antiquark State in Coulomb Gauge

J. Greensite, S. Olejnik

Motivated by the gluon-chain model of flux tube formation, we compute and diagonalize the transfer matrix in lattice SU(2) gauge theory for states containing heavy static quark-ant…

hep-lat2008★ 1 cited

First evidence for Casimir scaling in G(2) lattice gauge theory

L. Liptak, S. Olejnik

Potentials between static quarks and antiquarks from a few lowest representations were evaluated in numerical simulations of 4-dimensional pure G lattice gauge theory at variou…

hep-lat2008★ 90 cited

More on Gribov copies and propagators in Landau-gauge Yang-Mills theory

Axel Maas

Fixing a gauge in the non-perturbative domain of Yang-Mills theory is a non-trivial problem due to the presence of Gribov copies. In particular, there are different gauges in the n…

hep-lat2008★ 35 cited

Casimir scaling in G(2) lattice gauge theory

L. Liptak, S. Olejnik

We computed potentials between static color sources from the six lowest representations of G(2) lattice gauge theory, in numerical simulations with the Wilson action on asymmetric…

hep-lat2008★ 60 cited

Center Vortices and the Dirac Spectrum

Manfried Faber, Jeff Greensite, Urs M. Heller +2

We study correlations between center vortices and the low-lying eigenmodes of the Dirac operator, in both the overlap and asqtad formulations. In particular we address a puzzle rai…

hep-lat2008★ 18 cited

Linear Covariant Gauges on the Lattice

Attilio Cucchieri, Axel Maas, Tereza Mendes

Linear covariant gauges, such as Feynman gauge, are very useful in perturbative calculations. Their nonperturbative formulation is, however, highly non-trivial. In particular, it i…

hep-lat2008★ 165 cited

Three-point vertices in Landau-gauge Yang-Mills theory

Attilio Cucchieri, Axel Maas, Tereza Mendes

Vertices are of central importance for constructing QCD bound states out of the individual constituents of the theory, i.e. quarks and gluons. In particular, the determination of t…

hep-lat2007★ 27 cited

A first look at Landau-gauge propagators in G2 Yang-Mills theory

Axel Maas, Stefan Olejnik

G_2 Yang--Mills theory is an interesting laboratory to investigate non-perturbative effects. On one hand, no conventional quark confinement via a linearly rising potential is prese…

hep-lat2007★ 37 cited

Dimensional Reduction and the Yang-Mills Vacuum State in 2+1 Dimensions

J. Greensite, S. Olejnik

We propose an approximation to the ground state of Yang-Mills theory, quantized in temporal gauge and 2+1 dimensions, which satisfies the Yang-Mills Schrodinger equation in both th…

hep-lat2007★ 111 cited

Two- and three-point Green's functions in two-dimensional Landau-gauge Yang-Mills theory

Axel Maas

The ghost and gluon propagator and the ghost-gluon and three-gluon vertex of two-dimensional SU(2) Yang-Mills theory in (minimal) Landau gauge are studied using lattice gauge theor…

hep-lat2007★ 12 cited

Energy density for chiral lattice fermions with chemical potential

Christof Gattringer, Ludovit Liptak

We study a recently proposed formulation of overlap fermions at finite density. In particular we compute the energy density as a function of the chemical potential and the temperat…