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This lecture describes the treatment of heavy quarks in lattice QCD by implementing the Isgur-Wise limit. The method is briefly discussed, and some of the special features of the resulting theory are highlighted. We emphasize issues of the…

高能物理 - 格点 · 物理学 2007-05-23 Jeffrey E. Mandula

I summarize recent progress in lattice gauge theory, with particular emphasis on results from numerical simulations. A major success has been the determination of the light hadron spectrum in the quenched approximation with sufficient…

高能物理 - 格点 · 物理学 2007-05-23 Stephen R. Sharpe

We construct a solution to the equation of motion of Hamiltonian lattice QCD in the strong coupling limit using Wilson fermions which exactly diagonalizes the Hamiltonian to second order in the field operators. This solution obeys the free…

高能物理 - 唯象学 · 物理学 2009-10-31 Yasuo Umino

We calculate the equation of state of strongly coupled Hamiltonian lattice QCD at finite density by constructing a solution to the equation of motion corresponding to an effective Hamiltonian using Wilson fermions. We find that up to and…

高能物理 - 唯象学 · 物理学 2015-06-25 Yasuo Umino

The explicit breaking of chiral symmetry of the Wilson fermion action results in additive quark mass renormalization. Moreover, flavour singlet and non-singlet scalar currents acquire different renormalization constants with respect to…

高能物理 - 格点 · 物理学 2016-10-12 Gunnar S. Bali , Enno E. Scholz , Jakob Simeth , Wolfgang Söldner

Non-perturbative scale-dependent renormalization problems are ubiquitous in lattice QCD as they enter many relevant phenomenological applications. They require solving non-perturbatively the renormalization group equations for the QCD…

高能物理 - 格点 · 物理学 2021-03-02 Mattia Dalla Brida

JLQCD collaboration recently started the $N_f=3$ QCD simulations with the $O(a)$-improved Wilson fermion action employing an exact fermion algorithm developed for odd number of quark flavors. It is found that this theory has an unexpected…

Lattice QCD using fermions whose Dirac operator obeys the Ginsparg-Wilson relation, is perhaps the best known formulation of QCD with a finite cutoff. It reproduces all the low energy QCD phenomenology associated with chiral symmetry at…

高能物理 - 格点 · 物理学 2016-08-25 Shailesh Chandrasekharan

The M$_k$ models for 1D lattice fermions are characterised by ${\cal N}=2$ supersymmetry and by an order-$k$ clustering property. This paper highlights connections with quantum field theories (QFTs) in various regimes. At criticality the…

统计力学 · 物理学 2017-07-19 T. Fokkema , K. Schoutens

In this work we calculate the renormalization of counterterms which arise in the lattice action of $N = 1$ Supersymmetric QCD (SQCD). In particular, the fine-tunings for quartic couplings are studied in detail through both continuum and…

高能物理 - 格点 · 物理学 2024-09-17 Marios Costa , Herodotos Herodotou , Haralambos Panagopoulos

We present results of lattice computations using overlap fermions on a twisted mass background. $N_f=2$ full QCD gauge configurations have been produced by the ETM Collaboration with very light pions (down to less than 300 MeV), with small…

高能物理 - 格点 · 物理学 2009-04-14 Nicolas Garron , Luigi Scorzato

Results of the study of lattice QCD with two flavors of nonperturbatively improved Wilson fermions at finite temperature are presented. The transition temperature for m_{\pi}/m_{\rho} \sim 0.8 and lattice spacing a \sim 0.12 fm is…

I discuss quarkonium suppression in equilibriated strongly interacting matter. After a brief review of basic features of quarkonium production I discuss the application of recent lattice data on the heavy quark potential to the problem of…

高能物理 - 唯象学 · 物理学 2009-11-07 P. Petreczky

Viable non-perturbative methods for lattice quantum field theories on curved manifolds are difficult. By adapting features from the traditional finite element methods (FEM) and Regge Calculus, a new simplicial lattice Quantum Finite Element…

高能物理 - 格点 · 物理学 2016-01-08 Richard C. Brower , George Fleming , Andrew Gasbarro , Timothy Raben , Chung-I Tan , Evan Weinberg

We present a determination of the corrections to Dashen's theorem and of the individual up and down quark masses from a lattice calculation based on quenched QED and $N_f=2+1$ QCD simulations with 5 lattice spacings down to 0.054 fm. The…

高能物理 - 格点 · 物理学 2017-02-02 L. Varnhorst , S. Durr , Z. Fodor , C. Hoelbling , S. Krieg , L. Lellouch , A. Portelli , A. Sastre , K. K. Szabo

We determine the strangeness and light quark fractions of the nucleon mass by computing the quark line connected and disconnected contributions to the matrix elements m_q <N|qbar q|N> in lattice QCD, using the non-perturbatively improved…

The past few years have seen many interesting theoretical developments in lattice QCD. This talk (which is intended for non-experts) focuses on the problem of non-perturbative renormalization and the question of how precisely the continuum…

高能物理 - 唯象学 · 物理学 2007-05-23 M. Lüscher

We investigate the properties of the half-filling point in lattice QCD (LQCD), in particular the disappearance of the sign problem and the emergence of an apparent particle-hole symmetry, and try to understand where these properties come…

高能物理 - 格点 · 物理学 2016-02-22 Tobias Rindlisbacher , Philippe de Forcrand

The adoption of two distinct boundary conditions for two fermions species on a finite lattice allows to deal with arbitrary relative momentum between the two particle species, in spite of the momentum quantization rule due to a limited…

高能物理 - 格点 · 物理学 2009-11-10 G. M. de Divitiis , R. Petronzio , N. Tantalo

A new multifermion formulation of lattice QCD is proposed. The model is free of spectrum doubling and preserves all nonanomalous chiral symmetries up to exponentially small corrections. It is argued that a small number of fermion fields may…

高能物理 - 格点 · 物理学 2009-10-31 A. A. Slavnov
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