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Values for the strange quark mass and average up/down mass have been obtained from quenched lattice QCD simulations using the domain wall fermion action. This discretization preserves the properties of flavor and chiral symmetry at nonzero…

High Energy Physics - Lattice · Physics 2009-10-31 Matthew Wingate

One of the most challenging issues in QCD is the investigation of spontaneous chiral-symmetry breaking, which is characterized by the non-vanishing chiral condensate when the bare fermion mass is zero. In standard methods, one has to…

High Energy Physics - Lattice · Physics 2007-05-23 Xiang-Qian Luo

Composite dark matter candidates, which can arise from new strongly-coupled sectors, are well-motivated and phenomenologically interesting, particularly in the context of asymmetric generation of the relic density. In this work, we employ…

We present simple proofs of a discrete fractional and non-fractional Hardy inequality, Our constants are explicit, but not optimal. In the class of power weights, we get a complete picture of when the non-fractional Hardy inequality holds,…

Functional Analysis · Mathematics 2025-06-18 Bartłomiej Dyda

This is a review of selected recent developments in finite-temperature lattice QCD. The focus is on the properties of the chiral crossover region, deconfinement and fluctuations of conserved charges, the equation of state, properties of…

High Energy Physics - Lattice · Physics 2015-05-22 Alexei Bazavov

The negative-parity ground state of the \Lambda{} baryon lies surprisingly low in mass. At 1405.1 MeV, it lies lower than the negative-parity ground state nucleon, even though it has a valence strange quark. Using the PACS-CS (2+1)-flavour…

High Energy Physics - Lattice · Physics 2012-04-18 Benjamin J. Menadue , Waseem Kamleh , Derek B. Leinweber , M. Selim Mahbub

We present results of finite temperature QCD from N_f=2 flavors of non-perturbatively improved Wilson fermions on lattices with N_t=8, 10 and 12. The transition temperature T_c is determined for the first time at lattice spacings as low as…

High Energy Physics - Lattice · Physics 2008-11-26 V. G. Bornyakov , S. M. Morozov , Y. Nakamura , M. I. Polikarpov , G. Schierholz , T. Suzuki

We present a method to evaluate on the lattice the leading isospin breaking effects due to both the small mass difference between the up and down quarks and the QED interaction. Our proposal is applicable in principle to any QCD+QED gauge…

High Energy Physics - Lattice · Physics 2013-06-12 G. M. de Divitiis , R. Frezzotti , V. Lubicz , G. Martinelli , R. Petronzio , G. C. Rossi , F. Sanfilippo , S. Simula , N. Tantalo

Systems of strongly correlated fermions on certain geometrically frustrated lattices at particular filling factors support excitations with fractional charges $\pm e/2$. We calculate quantum mechanical ground states, low--lying excitations…

Strongly Correlated Electrons · Physics 2009-11-13 E. Runge , F. Pollmann , P. Fulde

The canonical partition functions $Z_n$ and the number distributions $P_n$ which are obervable in experiments, are related by a single parameter, the fugacities $\xi=\exp(\mu/T)$. With the charge parity invariance, $Z_n$ and $\xi$ can be…

High Energy Physics - Phenomenology · Physics 2018-01-16 Atsushi Nakamura , Keitaro Nagata

We present new sets of fragmentation functions for charged pions, charged kaons, and protons, both at the leading and next-to-leading orders. They are fitted to the scaled-momentum distributions of these hadrons measured in e+e-…

High Energy Physics - Phenomenology · Physics 2008-11-26 B. A. Kniehl , G. Kramer , B. Pötter

We expand the gauge field in terms of a suitably constructed complete set of Bloch wave functions, each labeled by a band designation $\,n\,$ and a wave number $\,\vec K\,$ restricted to the Brillouin zone. A noncompact formulation of…

High Energy Physics - Lattice · Physics 2009-10-28 R. Friedberg , T. D. Lee , Y. Pang , H. C. Ren

The sign problem is a major obstacle to our understanding of the phase diagram of QCD at finite baryon density. Several numerical methods have been proposed to tackle this problem, but a full solution to the sign problem is still elusive.…

High Energy Physics - Lattice · Physics 2015-06-24 Helvio Vairinhos , Philippe de Forcrand

In this work, I report the latest lattice QCD calculations of nucleon and hyperon structure from chiral fermions in 2+1-flavor dynamical simulations. All calculations are done with a chirally symmetric fermion action, domain-wall fermions,…

High Energy Physics - Lattice · Physics 2007-07-27 Huey-Wen Lin

A method in which electromagnetic properties of hadrons are studied by direct simulation of dynamical photon effects is applied to the extraction of the isomultiplet structure of the octet baryons. Using 187 configurations at $\beta=5.7$…

High Energy Physics - Lattice · Physics 2009-10-28 A. Duncan , E. Eichten , H. Thacker

Based on universal arguments it is believed that there is a critical point (E) in QCD on the temperature (T) versus chemical potential (\mu) plane, which is of extreme importance for heavy-ion experiments. Using finite size scaling and a…

High Energy Physics - Lattice · Physics 2009-11-07 Z. Fodor , S. D. Katz

Compact lattice Quantum Electrodynamics (QED) with four species of fermions is simulated with massless quarks by using the $\chi$QED scheme of adding a four-fermi interaction to the action. Simulations directly in the chiral limit of…

High Energy Physics - Lattice · Physics 2008-11-26 John B. Kogut , Costas G. Strouthos

We propose a method to study lattice QCD at non-vanishing temperature (T) and chemical potential (\mu). We use n_f=2+1 dynamical staggered quarks with semi-realistic masses on L_t=4 lattices. The critical endpoint (E) of QCD on the…

High Energy Physics - Lattice · Physics 2017-08-23 F. Csikor , G. I. Egri , Z. Fodor , S. D. Katz , K. K. Szabo , A. I. Toth

We study the coupled pion-nucleon system (negative parity, isospin 1/2) based on a lattice QCD simulation for nf=2 mass degenerate light quarks. Both, standard 3-quarks baryon operators as well as meson-baryon (4+1)-quark operators are…

High Energy Physics - Lattice · Physics 2013-05-20 C. B. Lang , V. Verduci

A weak order on the set of maximal chains of the non-crossing partition lattice is introduced and studied. A $0$-Hecke algebra action is used to compute the radius of the graph on these chains in which two chains are adjacent if they differ…

Combinatorics · Mathematics 2013-12-25 Ron M. Adin , Yuval Roichman