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We introduce a new non-Hermitian random matrix model for QCD with a baryon chemical potential. This model is a direct chiral extension of a previously studied model that interpolates between the Wigner-Dyson and Ginibre ensembles. We…

High Energy Physics - Theory · Physics 2009-11-10 James C. Osborn

We present results of a lattice simulation of quantum chromodynamics with two degenerate flavors of dynamic Wilson fermions at $6/g^2=5.3$ at each of two dynamical fermion hopping parameters, $\kappa=0.1670$ and 0.1675, corresponding to…

High Energy Physics - Lattice · Physics 2009-10-22 K. M. Bitar

Quantum simulators have the exciting prospect of giving access to real-time dynamics of lattice gauge theories, in particular in regimes that are difficult to compute on classical computers. Future progress towards scalable quantum…

Quantum Gases · Physics 2018-08-21 T. V. Zache , F. Hebenstreit , F. Jendrzejewski , M. K. Oberthaler , J. Berges , P. Hauke

The behavior of quenched Dirac spectra of two-dimensional lattice QCD is consistent with spontaneous chiral symmetry breaking which is forbidden according to the Coleman-Mermin-Wagner theorem. One possible resolution of this paradox is…

High Energy Physics - Lattice · Physics 2016-05-12 M. Kellerstein , K. Splittorff , J. J. M. Verbaarschot

We compare different conjugate gradient -- like matrix inversion methods (CG, BiCGstab1 and BiCGstab2) employing for this purpose the compact lattice quantum electrodynamics (QED) with Wilson fermions. The main goals of this investigation…

High Energy Physics - Lattice · Physics 2015-06-25 G. Cella , A. Hoferichter , V. K. Mitrjushkin , M. Müller--Preussker , A. Vicere

We study two-color QCD with two flavors of Wilson fermion as a function of quark chemical potential mu and temperature T, for two different lattice spacings and two different quark masses. We find that the quarkyonic region, where the…

High Energy Physics - Lattice · Physics 2020-04-15 Tamer Boz , Pietro Giudice , Simon Hands , Jon-Ivar Skullerud

Wilson Fermions with untwisted and twisted mass are widely used in lattice simulations. Therefore one important question is whether the twist angle and the lattice spacing affect the phase diagram. We briefly report on the study of the…

High Energy Physics - Lattice · Physics 2015-04-17 M. Kieburg , K. Splittorff , J. J. M. Verbaarschot , S. Zafeiropoulos

The use of known analytic results for the continuum fermion determinants in QCD and QED as benchmarks for zero lattice spacing extrapolations of lattice fermion determinants is proposed. Specifically, they can be used as a check on the…

High Energy Physics - Lattice · Physics 2009-11-10 M. P. Fry

A new formulation of chiral fermions on the lattice is presented. It is a version of overlap fermions, but built from the computationally efficient staggered fermions rather than the previously used Wilson fermions. The construction reduces…

High Energy Physics - Lattice · Physics 2011-05-18 David H. Adams

We consider bosonic random matrix partition functions at nonzero chemical potential and compare the chiral condensate, the baryon number density and the baryon number susceptibility to the result of the corresponding fermionic partition…

High Energy Physics - Theory · Physics 2017-09-13 M. Kellerstein , J. J. M. Verbaarschot

We perform the first direct determination of the position of the leading singularity of the pressure in the complex chemical potential $\mu_B$ plane in lattice QCD using numerical simulations with 2-stout improved rooted staggered fermions.…

High Energy Physics - Lattice · Physics 2021-02-03 Matteo Giordano , Konel Kapas , Sandor D. Katz , Daniel Nogradi , Attila Pasztor

Lattice QCD with Wilson quarks and a chirally twisted mass term represents a promising alternative regularization of QCD, which does not suffer from unphysical fermion zero modes. We show how the correlation functions of the renormalized…

High Energy Physics - Lattice · Physics 2010-02-03 Roberto Frezzotti , Pietro Antonio Grassi , Stefan Sint , Peter Weisz

We use the heavy dense formulation of QCD (HD-QCD) as the basis for an analytic expansion as systematic approximation to QCD at non-zero density, keeping the full Yang-Mills action. We analyse the structure of the baryonic density and other…

High Energy Physics - Lattice · Physics 2014-12-19 Gert Aarts , Benjamin Jäger , Erhard Seiler , Denes Sexty , Ion-Olimpiu Stamatescu

We describe non-relativistic fermions on the lattice (Hubbard model) in the canonical formulation using transfer matrices in fixed fermion number sectors such that the partition function becomes fully factorized in time. By analytically…

High Energy Physics - Lattice · Physics 2019-12-20 Sebastian Burri , Urs Wenger

We have recently given a construction of the overlap Dirac operator at nonzero quark chemical potential. Here, we introduce a quark chemical potential in the domain-wall fermion formalism and show that our earlier result is reproduced if…

High Energy Physics - Lattice · Physics 2008-11-26 Jacques Bloch , Tilo Wettig

We study the distribution of the phase angle and the magnitude of the fermion determinant as well as its correlation with the chiral condensate and the baryon number for QCD at non-zero quark chemical potential. Results are derived to…

High Energy Physics - Lattice · Physics 2010-03-19 M. P. Lombardo , K. Splittorff , J. J. M. Verbaarschot

We have investigated QCD with two flavors of degenerate fermions using a Symanzik-improved lattice action for both the gauge and fermion actions. Our study focuses on the deconfinement transition on an $N_t=4$ lattice. Having located the…

Chiral perturbation theory for eigenvalue distributions, and equivalently random matrix theory, has recently been extended to include lattice effects for Wilson fermions. We test the predictions by comparison to eigenvalue distributions of…

High Energy Physics - Lattice · Physics 2013-01-15 Poul H. Damgaard , Urs M. Heller , Kim Splittorff

Considering relevant and irrelevant high-dimension operators for ordinary and mirror fermions respectively, we show that the Wilson lattice fermion can originate from a spontaneous symmetry breaking phenomenon. Ward identities, due to…

High Energy Physics - Lattice · Physics 2016-08-31 She-Sheng XUE

We show that it is possible to improve the chiral behaviour and the approach to the continuum limit of correlation functions in lattice QCD with Wilson fermions by taking arithmetic averages of correlators computed in theories regularized…

High Energy Physics - Lattice · Physics 2009-11-10 R. Frezzotti , G. C. Rossi