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We present numerical results for the kaon B-parameter, B_K, determined in the quenched approximation of lattice QCD. Our simulations are performed using domain-wall fermions and the renormalization group improved, DBW2 gauge action which…

High Energy Physics - Lattice · Physics 2011-09-01 Y. Aoki , T. Blum , N. H. Christ , C. Dawson , T. Izubuchi , R. D. Mawhinney , J. Noaki , S. Ohta , K. Orginos , A. Soni , N. Yamada

For quantifying the universal properties of the chiral phase transition in QCD through numerical calculations on a discrete space-time lattice, one needs to perform controlled extrapolations to the continuum and infinite-volume limits…

High Energy Physics - Lattice · Physics 2025-08-28 Sabarnya Mitra , Frithjof Karsch

We discuss chiral perturbation theory for two and three quark flavors in the epsilon expansion at next-to-next-to-leading order (NNLO) including a small imaginary chemical potential. We calculate finite-volume corrections to the low-energy…

High Energy Physics - Lattice · Physics 2014-11-20 Christoph Lehner , Shoji Hashimoto , Tilo Wettig

We present simulation results employing overlap fermions for the axial correlation functions in the epsilon-regime of chiral perturbation theory. In this regime, finite size effects and topology play a dominant role. Their description by…

High Energy Physics - Lattice · Physics 2009-11-10 W. Bietenholz , T. Chiarappa , K. Jansen , K. -I. Nagai , S. Shcheredin

The crossover from hadronic to quark matter is understood to be both a deconfinement as well as a chiral symmetry restoring transition. Here, we study observables related to both aspects using lattice simulations: the Polyakov loop and its…

High Energy Physics - Lattice · Physics 2024-05-22 Szabolcs Borsanyi , Zoltan Fodor , Jana N. Guenther , Ruben Kara , Paolo Parotto , Attila Pasztor , Ludovica Pirelli , Chik Him Wong

The quark mass dependence of meson masses and decay constants in N_f=2 QCD is studied at a fixed gauge coupling with different dynamical quark masses. Partially Quenched Wilson Chiral Perturbation Theory (PQWchiPT) is applied to obtain the…

High Energy Physics - Lattice · Physics 2009-11-10 q Collaboration , F. Farchioni , I. Montvay , E. Scholz

We analyze the chiral behavior of the hadron spectrum obtained with quenched Wilson fermions on 170 $32^3 \times 64$ lattices at $\beta = 6.0$. We calculate masses of hadrons composed of both degenerate and non-degenerate quarks. We reduce…

High Energy Physics - Lattice · Physics 2007-05-23 Tanmoy Bhattacharya , Rajan Gupta , Stephen Sharpe

Within the framework of Dyson-Schwinger equations of QCD, we study the finite volume effects on the chiral phase transition, especially the influence on the position of the possible pseudo-critical end point (pCEP). The results show that in…

High Energy Physics - Phenomenology · Physics 2018-12-03 Bo-Lin Li , Zhu-Fang Cui , Bo-Wen Zhou , Sun An , Li-Ping Zhang , Hong-Shi Zong

We present simulation results for lattice QCD with chiral fermions in small volumes, where the epsilon-expansion of chiral perturbation theory applies. Our data for the low lying Dirac eigenvalues, as well as mesonic correlation functions,…

High Energy Physics - Lattice · Physics 2009-11-11 W. Bietenholz , T. Chiarappa , K. Jansen , K. -I. Nagai , S. Shcheredin

We present the ingredients for determining $K^{+}\to\pi^{+}\pi^{0}$ matrix elements via the combination of lattice QCD and chiral perturbation theory ($\chi$PT). By simulating these matrix elements at unphysical kinematics, it is possible…

High Energy Physics - Lattice · Physics 2008-11-26 C. -J. D. Lin , G. Martinelli , E. Pallante , C. T. Sachrajda , G. Villadoro

Schemes for describing the light quark mass dependence of the nucleon mass calculated in lattice QCD are compared. The three schemes in consideration include a fully relativistic and Lorentz covariant scheme, one that is fully relativistic…

High Energy Physics - Phenomenology · Physics 2024-06-28 Shiryo Owa , Derek B. Leinweber , Anthony W. Thomas , Xuan-Gong Wang

The chiral extrapolation of the vector meson mass calculated in partially-quenched lattice simulations is investigated. The leading one-loop corrections to the vector meson mass are derived for partially-quenched QCD. A large sample of…

High Energy Physics - Lattice · Physics 2010-02-17 W. Armour , C. R. Allton , D. B. Leinweber , A. W. Thomas , R. D. Young

The ultraviolet behaviour of the generating functional for hadronic weak interactions with $|\Delta S| =1, 2$ is investigated to one loop for a generic number of flavours and in the quenched approximation. New quenched chiral logarithms…

High Energy Physics - Lattice · Physics 2009-10-31 E. Pallante

We apply the probability distribution function method to the study of chiral properties of QCD with quarks in the exact massless limit. A relation among the chiral condensate, zeros of the Bessel function and eigenvalue of Dirac operator is…

High Energy Physics - Lattice · Physics 2009-10-02 Xiang-Qian Luo

A critical appraisal is given of a recent analysis of the quark-mass and finite-size dependence of unquenched lattice QCD data for the nucleon mass. We use this forum to estimate the boundary of the chiral regime for nucleon properties.

High Energy Physics - Lattice · Physics 2014-11-17 Silas R. Beane

We calculate finite-volume corrections to the low-energy constants $\Sigma$ and $F$ in the epsilon-regime of QCD using partially quenched chiral perturbation theory in the supersymmetry formulation without a singlet particle. We comment on…

High Energy Physics - Lattice · Physics 2010-11-05 Christoph Lehner , Tilo Wettig

We determine the renormalization group invariant quark mass corresponding to the sum of the strange and the average light quark mass in the quenched approximation of QCD, using as essential input the mass of the K-mesons. In the continuum…

High Energy Physics - Lattice · Physics 2008-11-26 Joyce Garden , Jochen Heitger , Rainer Sommer , Hartmut Wittig

Using quenched chiral perturbation theory, we compute the long-distance behaviour of two-point functions of flavour non-singlet axial and vector currents in a finite volume, for small quark masses, and at a fixed gauge-field topology. We…

High Energy Physics - Lattice · Physics 2010-04-05 P. H. Damgaard , P. Hernandez , K. Jansen , M. Laine , L. Lellouch

We discuss chiral limit of light hadron mass from our quenched staggered calculations with a high lattice cutoff of (a^{-1})(\sim)3.7 GeV at (\beta)=6.5 and a large lattice volume of (48^3\times 64). We added six heavier quark mass values…

High Energy Physics - Lattice · Physics 2009-10-31 Seyong Kim , Shigemi Ohta

We calculate various properties of pseudoscalar mesons in partially quenched QCD using chiral perturbation theory through next-to-leading order. Our results can be used to extrapolate to QCD from partially quenched simulations, as long as…

High Energy Physics - Lattice · Physics 2009-10-31 Stephen Sharpe , Noam Shoresh