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Related papers: On the consistency of the Aoki-phase

200 papers

In this paper, we examine the phase diagram of quenched QCD with two flavors of Wilson fermions, proposing the following microscopic picture. The super-critical regions inside and outside the Aoki phase are characterized by the existence of…

High Energy Physics - Lattice · Physics 2008-11-26 Maarten Golterman , Yigal Shamir

We discuss the vacuum structure of QCD with two flavors of Wilson fermions. We derive two possible scenarios: (i) If the spectral density $\rho_U(\lambda,\kappa)$ of the overlap hamiltonian in a fixed background gauge field is not symmetric…

High Energy Physics - Lattice · Physics 2009-02-26 V. Azcoiti , G. Di Carlo , A. Vaquero

We present further analyses of the finite-temperature phase structure of lattice QCD with the Wilson quark action based on spontaneous breakdown of parity-flavor symmetry. Results are reported on (i) an explicit demonstration of spontaneous…

High Energy Physics - Lattice · Physics 2009-10-28 S. Aoki , T. Kaneda , A. Ukawa , T. Umemura

We investigate the two dimensional lattice Gross--Neveu model in large flavor number limit using the domain-wall fermion formulation, as a toy model of lattice QCD. We study nonperturbative behaviorn of the restoration of chiral symmetry of…

High Energy Physics - Lattice · Physics 2009-10-31 Taku Izubuchi , Kei-ichi Nagai

We study strong-coupling lattice QCD with staggered-Wilson fermions, with an emphasis on the possibility of spontaneous parity breaking. We perform effective potential analysis in the strong-coupling limit. From gap equations we find the…

High Energy Physics - Lattice · Physics 2012-12-21 Takashi Z. Nakano , Tatsuhiro Misumi , Taro Kimura , Akira Ohnishi

We present data testing the existence of a parity-flavor breaking phase in simulations of QCD with two flavors of light Wilson fermions. This is done by explicit simulations on lattice sizes of $6^4$, $8^4$ and $10^4$ for a variety of…

High Energy Physics - Lattice · Physics 2009-10-28 Khalil M. Bitar

The microscopic spectral density of the Wilson Dirac operator for two flavor lattice QCD is analyzed. The computation includes the leading order a^2 corrections of the chiral Lagrangian in the microscopic limit. The result is used to…

High Energy Physics - Lattice · Physics 2013-05-30 M. Kieburg , K. Splittorff , J. J. M. Verbaarschot

We study the lattice \njl~model with two flavors of Wilson fermions in the large $N$ limit, where $N$ is the number of `colors'. For large values of the four-fermion coupling we find a phase in which both, flavor symmetry and parity, are…

High Energy Physics - Lattice · Physics 2009-10-22 S. Aoki , S. Boettcher , A. Gocksch

The phase diagram for staggered fermions is discussed in the context of the staggered chiral Lagrangian, extending previous work on the subject. When the discretization errors are significant, there may be an Aoki-like phase for staggered…

High Energy Physics - Lattice · Physics 2009-11-10 C. Aubin , Qinghai Wang

We study the anomalous breaking of U_A(1) symmetry just above the QCD phase transition for zero and two flavors of quarks, using a staggered fermion, lattice discretization. The properties of the QCD phase transition are expected to depend…

High Energy Physics - Lattice · Physics 2009-10-31 Shailesh Chandrasekharan , Dong Chen , Norman Christ , Weonjong Lee , Robert Mawhinney , Pavlos Vranas

We investigate the parity-broken phase structure for staggered and naive fermions in the Gross-Neveu model as a toy model of QCD. We consider a generalized staggered Gross-Neveu model including two types of four-point interactions. We use…

High Energy Physics - Lattice · Physics 2011-05-24 Michael Creutz , Taro Kimura , Tatsuhiro Misumi

The nature of the phase transition in the lattice Gross-Neveu model with Wilson fermions is investigated using a new analytical technique. This involves a new type of weak coupling expansion which focuses on the partition function zeroes of…

High Energy Physics - Lattice · Physics 2009-11-07 R. Kenna , J. C. Sexton

A new method to determine the phase diagram of certain lattice fermionic field theories in the weakly coupled regime is presented. This method involves a new type of weak coupling expansion which is multiplicative rather than additive in…

High Energy Physics - Lattice · Physics 2009-11-07 R. Kenna , C. Pinto , J. C. Sexton

We non-perturbatively determine the renormalization factor of the axial vector current in lattice QCD with $N_f=3$ flavors of Wilson-clover fermions and the tree-level Symanzik-improved gauge action. The (by now standard) renormalization…

High Energy Physics - Lattice · Physics 2016-06-29 John Bulava , Michele Della Morte , Jochen Heitger , Christian Wittemeier

Using effective Lagrangian arguments, I explore the qualitative behavior expected at finite temperature for two flavor lattice QCD formulated with Wilson fermions and a twisted mass term. A rather rich phase structure is predicted,…

High Energy Physics - Lattice · Physics 2008-11-26 Michael Creutz

We present first results of a study of two flavour QCD with Wilson fermions at finite temperature. We have used tree level Symanzik improvement in both the gauge and fermion part of the action. In a first step we explore the phase diagramm…

High Energy Physics - Lattice · Physics 2009-10-30 F. Karsch , E. Laermann , M. Oevers , P. Schmidt

We study the phase structure of mixed-action QCD with two Wilson sea quarks and any number of chiral valence quarks (and ghosts), starting from the chiral lagrangian. A priori, the effective theory allows for a rich phase structure,…

High Energy Physics - Lattice · Physics 2011-03-29 Oliver Bar , Maarten Golterman , Yigal Shamir

We consider spectral quantities in lattice QCD and determine the asymptotic behavior of their discretization errors. Wilson fermion with O$(a)$-improvement, (M\"obius) Domain wall fermion (DWF), and overlap Dirac operators are considered in…

High Energy Physics - Lattice · Physics 2024-10-18 Nikolai Husung , Peter Marquard , Rainer Sommer

It has been proposed, that the chiral continuum limit of 2-flavour QCD with Wilson fermions is brought about by a phase in which flavour and parity symmetry are broken spontaneously at finite lattice spacing. At finite temperature this…

High Energy Physics - Lattice · Physics 2007-05-23 F. Karsch , E. Laermann , M. Oevers , P. Schmidt

The phase structure of lattice QCD with Wilson fermions is discussed. Analytic and numerical evidences are given for the spontaneous breaking of parity and flavor symmetry, which naturally explains the existence of the massless pion at the…

High Energy Physics - Lattice · Physics 2008-11-26 S. Aoki