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Related papers: Understanding the Aoki phase

200 papers

We investigate the phase structure of three-flavor QCD in the presence of finite quark chemical potential $\mu/T\lesssim1.2$ by using the non-perturbatively $O(a)$ improved Wilson fermion action on lattices with a fixed temporal extent…

High Energy Physics - Lattice · Physics 2015-12-30 Xiao-Yong Jin , Yoshinobu Kuramashi , Yoshifumi Nakamura , Shinji Takeda , Akira Ukawa

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 formulate new two dimensional fermions breaking $\gamma_{5}$hermiticity, based on the minimal doubling fermion. We investigate their properties: (I) Symmetries, (II) eigenvalue distributions, and (III)the number of poles. As a simple…

High Energy Physics - Lattice · Physics 2014-06-27 Syo Kamata , Hidekazu Tanaka

In this talk we give an overview of the 3D phase diagram of two-flavour non-zero temperature lattice QCD with twisted-mass Wilson fermions and a tree-level Symanzik-improved gauge action. We present a first feasibility study at maximal…

We present results for phase structure of lattice QCD with two degenerate flavors ($N_f=2$) of Wilson quarks at finite temperature $T$ and small baryon chemical potential $\mu_B$. Using the imaginary chemical potential for which the fermion…

High Energy Physics - Lattice · Physics 2008-11-26 Liang-Kai Wu , Xiang-Qian Luo , He-Sheng Chen

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

We explore the phase diagram of two flavour QCD at vanishing chemical potential using dynamical O(a)-improved Wilson quarks. In the approach to the chiral limit we use lattices with a temporal extent of N_t=16 and spatial extent L=32,48 and…

High Energy Physics - Lattice · Physics 2012-10-26 Bastian B. Brandt , Anthony Francis , Harvey B. Meyer , Owe Philipsen , Hartmut Wittig

We present an update of our lattice QCD study of the vacuum polarization function using O$(a)$-improved $N_ {\rm f} =2$ Wilson fermions with increased statistics and a large set of momenta. The resulting points are highly correlated and…

High Energy Physics - Lattice · Physics 2016-02-15 Michele Della Morte , Gregorio Herdoiza , Hanno Horch , Benjamin Jäger , Harvey Meyer , Hartmut Wittig

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

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

We discuss the QCD phase structure at finite temperature and chemical potential for $2$-flavour and $2+1$-flavour QCD. The results are achieved by computing QCD correlation functions within a generalised functional approach that combines…

High Energy Physics - Phenomenology · Physics 2021-05-14 Fei Gao , Jan M. Pawlowski

We explore aspects of the phase structure of SU(2) and SU(3) lattice gauge theories at strong coupling with many flavours $N_f$ of Wilson fermions in the fundamental representation, including the relevance to recent searches for a conformal…

High Energy Physics - Lattice · Physics 2010-11-04 Kei-ichi Nagai , Maria Georgina Carrillo-Ruiz , Gergana Koleva , Randy Lewis

Theoretical analysis of interplay between the condensates $<\bar{q}q>$ and $<qq>$ in vacuum is generally made by relativistic effective potentials in the mean field approximation in 2D, 3D and 4D models with two flavor and $N_c$ color…

High Energy Physics - Theory · Physics 2008-02-17 Bang-Rong Zhou

We study properties of the thermal transition in QCD, using anisotropic, fixed-scale lattice simulations with $N_f = 2+1$ flavours of Wilson fermion. Observables are compared for two values of the pion mass, focusing on chiral properties.…

High Energy Physics - Lattice · Physics 2020-07-09 G. Aarts , C. Allton , J. Glesaaen , S. Hands , B. Jäger , S. Kim , M. P. Lombardo , A. A. Nikolaev , S. M. Ryan , J. -I. Skullerud , L. -K. Wu

We construct 2D non-$\gamma_{5}$hermiticity fermions based on the minimal doubling fermion. We investigate symmetries, reflection positivity, eigenvalue distribution and the number of poles for our fermions. As simple tests for application…

High Energy Physics - Lattice · Physics 2014-03-03 Syo Kamata , Hidekazu Tanaka

We investigate and elucidate the phase structure of QCD for general number of flavors $N_F$ with Wilson quarks, varying $N_F$ from 2 up to 300. Based on numerical results combined with the result of the perturbation theory we propose the…

High Energy Physics - Lattice · Physics 2009-10-28 Y. Iwasaki , K. Kanaya , S. Kaya , S. Sakai , T. Yoshié

Qualitative features of Ginsparg-Wilson fermions, as formulated by Neuberger, coupled to two dimensional U(1) gauge theory are studied. The role of the Wilson mass parameter in changing the number of massless flavors in the theory and its…

High Energy Physics - Lattice · Physics 2009-10-31 Shailesh Chandrasekharan

In this letter we report on a numerical investigation of the Aoki phase in the case of finite temperature which continues our former study at zero temperature. We have performed simulations with Wilson fermions at $\beta=4.6$ using lattices…

High Energy Physics - Lattice · Physics 2007-05-23 E. -M. Ilgenfritz , W. Kerler , M. Müller-Preussker , A. Sternbeck , H. Stüben

We consider diquark condensation in finite density lattice SU(2). We first present an extension of Vafa-Witten result, on spontaneous breaking of vector-like global symmetries, that allows us to formulate a no-go theorem for diquark…

High Energy Physics - Lattice · Physics 2009-10-31 R. Aloisio , V. Azcoiti , G. Di Carlo , A. Galante , A. F. Grillo