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The scalar confinement in QCD is shown to produce the nonzero quark condensate for any current quark mass. Mechanisms for the Chiral Symmetry breaking and for the nonzero quark condensates are revealed. For the light and strange flavors the…

High Energy Physics - Phenomenology · Physics 2021-09-10 R. A. Abramchuk , Yu. A. Simonov

We study pion-pion scattering in partially-quenched twisted-mass lattice QCD using chiral perturbation theory. The specific partially-quenched setup corresponds to that used in numerical lattice QCD calculations of the $I=0$ scattering…

High Energy Physics - Lattice · Physics 2022-03-02 Zachary T. Draper , Stephen R. Sharpe

We present a lattice calculation of the low energy constants of QCD with $N_c=3$, 4 and 5 colors and $N_f=2$ flavors of degenerate mass fermions. We fit data for the pseudoscalar meson mass, the pseudoscalar decay constant, and the Axial…

High Energy Physics - Lattice · Physics 2023-09-22 Thomas DeGrand , Evan Wickenden

We study strong-coupling lattice QCD with staggered-Wilson fermions, with emphasis on discrete symmetries and possibility of their spontaneous breaking. We perform hopping parameter expansion and effective potential analyses in the…

High Energy Physics - Lattice · Physics 2012-08-09 Tatsuhiro Misumi , Takashi Z. Nakano , Taro Kimura , Akira Ohnishi

We study the topological susceptibility, chi, in two flavour lattice QCD. We find clear evidence for the expected suppression of chi at small quark mass. The estimate of the pion decay constant, f_pi = 105 +/-5 +18/-10 MeV, is consistent…

High Energy Physics - Lattice · Physics 2007-05-23 UKQCD Collaboration , A. Hart , M. Teper

The dependence of the pseudoscalar meson mass and decay constant is compared to one-loop Partially Quenched Chiral Perturbation Theory (PQChPT) in a numerical simulation with two light dynamical quarks. The characteristic behaviour with…

High Energy Physics - Lattice · Physics 2015-06-25 q Collaboration , F. Farchioni , C. Gebert , I. Montvay , E. Scholz , L. Scorzato

Different strategies for the computation of QCD low-energy couplings by matching lattice QCD with the chiral effective theory are reviewed. After recalling the main features of the chiral effective theory in the epsilon- and p- regimes, the…

High Energy Physics - Lattice · Physics 2008-11-26 Silvia Necco

One way of avoiding the complex action problem in lattice QCD at non-zero density is to simulate QCD-like theories with a real action, such as two-colour QCD. The symmetries of two-colour QCD with quarks in the fundamental and in the…

High Energy Physics - Lattice · Physics 2007-05-23 Jonivar Skullerud

I review recent theoretical developments and numerical results of twisted mass QCD. I argue that, combined with an efficient algorithm, twisted mass QCD can be an attractive QCD lattice action, to perform large scale simulations at small…

High Energy Physics - Lattice · Physics 2007-05-23 Andrea Shindler

Hyperfine splittings between the heavy vector (D*, B*) and pseudoscalar (D, B) mesons have been calculated numerically in lattice QCD, where the pion mass (which is related to the light quark mass) is much larger than its physical value.…

High Energy Physics - Phenomenology · Physics 2010-02-17 X. -H. Guo , A. W. Thomas

I review our current understanding of the properties of strongly interacting matter at high temperatures, based upon numerical calculations in lattice QCD. I discuss the chiral and deconfining aspects of the QCD transition, the equation of…

High Energy Physics - Lattice · Physics 2015-06-04 P. Petreczky

We present a lattice QCD based determination of the chiral phase transition temperature in QCD with two massless (up and down) and one strange quark having its physical mass. We propose and calculate two novel estimators for the chiral…

High Energy Physics - Lattice · Physics 2020-09-07 Olaf Kaczmarek , Frithjof Karsch , Anirban Lahiri , Lukas Mazur , Christian Schmidt

By matching the world of hadrons to that of some effective chiral quark theory, we determine the induced condensates for QCD sum rules in the presence of an external pion field. The observed values of the strong and weak $\pi NN$ coupling…

High Energy Physics - Phenomenology · Physics 2014-11-17 W-Y. P. Hwang

Two twisted doublets, one containing the up and down quarks and the other containing the strange quark with an SU(2)-flavor partner, are used for studies in the meson sector. The relevant chiral perturbation theory is presented, and…

High Energy Physics - Lattice · Physics 2011-02-01 Abdou M. Abdel-Rehim , Randy Lewis , R. M. Woloshyn , Jackson M. S. Wu

Using the clover fermion action in unquenched QCD with pion masses as low as 420 MeV, we look for evidence for chiral logs in the static-light decay constant. There is some evidence for a chiral log term, if the original static theory of…

High Energy Physics - Lattice · Physics 2009-11-10 UKQCD Collaboration , C McNeile , C. Michael

We analyze chiral restoration within the $O(N+1)/O(N)$ Non-Linear Sigma Model for large $N$ as an effective theory for low-energy QCD at finite temperature $T$. The free energy is constructed diagramatically to ${\cal O}(TM^3)$ in the pion…

High Energy Physics - Phenomenology · Physics 2016-12-28 Santiago Cortés , Angel Gómez Nicola , John Morales

QCD at finite temperature and density is becoming increasingly important for various experimental programmes, ranging from heavy ion physics to astro-particle physics. The non-perturbative nature of non-abelian quantum field theories at…

High Energy Physics - Lattice · Physics 2009-11-02 Owe Philipsen

We study lattice QCD in the limit that the quark mass and chemical potential are simultaneously made large, resulting in a controllable density of quarks which do not move. This is similar in spirit to the quenched approximation for zero…

High Energy Physics - Lattice · Physics 2009-10-28 Thomas C. Blum , James E. Hetrick , Doug Toussaint

Utilizing QCD sum rules, we extract the temperature dependences of the spectral properties of the pseudo-scalar and scalar D mesons regarded as chiral partners. Besides the masses also decay constants are analyzed as the D meson yields in…

Nuclear Theory · Physics 2018-07-10 Thomas Buchheim , Thomas Hilger , Burkhard Kampfer , Stefan Leupold

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