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We compute the scattering amplitude in Wilson Chiral Perturbation Theory for two flavors. The lattice spacing effects due to the explicit chiral symmetry breaking are kept through O(a^2), and we consider the regime where the quark mass m is…

High Energy Physics - Lattice · Physics 2010-01-21 Sinya Aoki , Oliver Bar , Benedikt Biedermann

In the epsilon-regime of lattice QCD one can get an accurate measurement of the pion decay constant F_pi by monitoring how just one single Dirac operator eigenvalue splits into two when subjected to two different external vector sources.…

High Energy Physics - Lattice · Physics 2008-11-26 G. Akemann , P. H. Damgaard

We investigate the eigenvalues of nearly chiral lattice Dirac operators constructed with five-dimensional implementations. Allowing small violation of the Ginsparg-Wilson relation, the HMC simulation is made much faster while the…

High Energy Physics - Lattice · Physics 2013-11-20 H. Fukaya , S. Aoki , G. Cossu , S. Hashimoto , T. Kaneko , J. Noaki

We study the difficulties associated with detecting chiral singularities predicted by chiral perturbation theory (ChPT) in lattice QCD. We focus on the physics of the remnant O(2) chiral symmetry of staggered fermions in the strong coupling…

High Energy Physics - Lattice · Physics 2016-09-01 Shailesh Chandrasekharan , Costas G. Strouthos

We study the topological susceptibility, chi, in QCD with two quark flavours using lattice field configurations that have been produced with an O(a)-improved clover quark action. We find clear evidence for the expected suppression at small…

High Energy Physics - Lattice · Physics 2013-05-29 UKQCD , QCDSF Collaborations , : , A. Hart

I discretize axion string configuration coupled to a Dirac fermion, which in the continuum binds a massless chiral fermion in its core when the winding is one. I show that such a configuration can host one or more chiral fermions when…

High Energy Physics - Theory · Physics 2023-01-25 Srimoyee Sen

We study scaling behavior of a chiral order parameter in the low density region, performing a simulation of two-flavor QCD with improved Wilson quarks. The scaling behavior of the chiral order parameter defined by a Ward-Takahashi identity…

High Energy Physics - Lattice · Physics 2013-12-20 T. Umeda , S. Ejiri , K. Kanaya , Y. Maezawa , Y. Nakagawa , H. Ohno , H. Saito , S. Yoshida

To date numerical simulations of lattice QCD have not found a chiral phase transition of first order which is expected to occur for sufficiently light pions. We show how the restoration of an exact global chiral symmetry can strongly…

High Energy Physics - Phenomenology · Physics 2024-07-25 Robert D. Pisarski , Fabian Rennecke

We apply the topology conserving gauge action proposed by Luescher to the four-dimensional lattice QCD simulation in the quenched approximation. With this gauge action the topological charge is stabilized along the hybrid Monte Carlo…

High Energy Physics - Lattice · Physics 2009-11-11 H. Fukaya , S. Hashimoto , T. Hirohashi , K. Ogawa , T. Onogi

The microscopic spectral density of the QCD Dirac operator at nonzero baryon chemical potential for an arbitrary number of quark flavors was derived recently from a random matrix model with the global symmetries of QCD. In this paper we…

High Energy Physics - Theory · Physics 2009-11-10 G. Akemann , J. C. Osborn , K. Splittorff , J. J. M. Verbaarschot

A serious difficulty in conventional lattice field theory calculations is the coupling between the chiral and continuum limits. With both staggered and Wilson fermions, the chiral limit cannot be realized without first taking the limit of…

We compute the spectrum of the low-lying mesonic states with vector, scalar and pseudoscalar quantum numbers in QCD with one flavour. With three colours the fundamental and the two-index anti-symmetric representations of the gauge group…

High Energy Physics - Lattice · Physics 2023-06-13 Michele Della Morte , Benjamin Jäger , Francesco Sannino , Justus Tobias Tsang , Felix P. G. Ziegler

We propose a new framework for investigating two-flavor lattice QCD with finite temperature and density by applying the Karsten-Wilczek lattice fermion, in which a species-dependent imaginary chemical potential can reduce the number of…

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

We present analytical results to guide numerical simulations with Wilson fermions in higher representations of the colour group. The ratio of $\Lambda$ parameters, the additive renormalization of the fermion mass, and the renormalization of…

High Energy Physics - Lattice · Physics 2008-11-26 Luigi Del Debbio , Mads T. Frandsen , Haralambos Panagopoulos , Francesco Sannino

We compute the overlap Dirac spectrum on three gauge ensembles generated using $2+1$-flavor domain wall fermions. The three ensembles have different lattice spacings and two of them have quark masses tuned to the physical point. The…

High Energy Physics - Lattice · Physics 2024-11-13 Jian Liang , Andrei Alexandru , Yu-Jiang Bi , Terrence Draper , Keh-Fei Liu , Yi-Bo Yang

We demonstrate the utility of a spectral approximation to fermion loop operators using low-lying eigenmodes of the hermitian Dirac-Wilson matrix, Q. The investigation is based on a total of 400 full QCD vacuum configurations, with two…

High Energy Physics - Lattice · Physics 2008-11-26 H. Neff , N. Eicker , Th. Lippert , J. W. Negele , K. Schilling

Flavor singlet and non-singlet axial Ward identities are investigated using the Wilson formulation of lattice QCD with Clover O(a)-improvement, which breaks explicitly chiral symmetry. The matching at one-loop order of all the relevant…

High Energy Physics - Lattice · Physics 2015-06-25 D. Guadagnoli , S. Simula

I present results of recent work for the UKQCD Collaboration on the light hadron spectrum using a non-perturbatively O(a)-improved Wilson action with two degenerate flavours of dynamical quarks on a 16^3x32 lattice. Values of the bare gauge…

High Energy Physics - Lattice · Physics 2015-06-25 Derek J. Hepburn , UKQCD Collaboration

We use the recently proposed directed-path algorithm to study the chiral limit of strongly coupled lattice QCD with staggered quarks at finite temperatures. The new algorithm allows us to compute the chiral susceptibility and the pion decay…

High Energy Physics - Lattice · Physics 2009-11-10 Shailesh Chandrasekharan , Fu-Jiun Jiang

In the $\epsilon$-domain of QCD we have obtained exact analytical expressions for the eigenvalue density of the Dirac operator at fixed $\theta \ne 0$ for both one and two flavors. These results made it possible to explain how the different…

High Energy Physics - Lattice · Physics 2018-07-31 Mario Kieburg , Jacobus Verbaarschot , Tilo Wettig
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