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Exotic states have been predicted before and after the advent of QCD. In the last decades they have been observed at accelerator experiments in the sector with two heavy quarks, at or above the quarkonium strong decay threshold and called X…

High Energy Physics - Lattice · Physics 2021-11-23 Nora Brambilla

2-color QCD (quantum chromodynamics with N_c=2) at finite temperature T and chemical potential \mu is revisited in the strong coupling limit on the lattice with staggered fermions. The phase structure in the space of T, \mu, and the quark…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yusuke Nishida , Kenji Fukushima , Tetsuo Hatsuda

These lecture notes contain an elementary introduction to lattice QCD at nonzero chemical potential. Topics discussed include chemical potential in the continuum and on the lattice; the sign, overlap and Silver Blaze problems; the phase…

High Energy Physics - Lattice · Physics 2016-06-22 Gert Aarts

First principle study of QCD at finite temperature $T$ and chemical potential $\mu$ is essential for understanding a wide range of phenomena from heavy-ion collisions to cosmology and neutron stars. However, in the presence of finite…

High Energy Physics - Lattice · Physics 2009-11-10 Xiang-Qian Luo

I present recent results from lattice simulations of SU(2) gauge theory with Nf=2 Wilson quark flavors, at non-zero quark chemical potential. The thermodynamic equation of state is discussed along with the nature of the high density matter…

High Energy Physics - Lattice · Physics 2015-06-11 Simon Hands , Seamus Cotter , Pietro Giudice , Jon-Ivar Skullerud

We derive an analytic expression of the effective potential at finite temperature (T) and chemical potential (mu) in the strong-coupling lattice QCD for color SU(3) including next-to-next-to-leading order (NNLO) effects in the strong…

High Energy Physics - Lattice · Physics 2014-11-20 Takashi Z. Nakano , Kohtaroh Miura , Akira Ohnishi

This review provides a comprehensive summary of results on the physics of strongly interacting matter in the presence of background electromagnetic fields, obtained via numerical lattice simulations of the underlying theory, Quantum…

High Energy Physics - Lattice · Physics 2025-01-08 Gergely Endrodi

The outline of the two lectures given in "Dense Matter School 2015" is presented. After an overview on the relevance of the phase diagram to heavy-ion collisions and compact star phenomena, I show some basic formulae to discuss the QCD…

Nuclear Theory · Physics 2016-01-26 Akira Ohnishi

We give a selection of results on spectrum and decay constants of light and heavy-light hadrons. Effective field theories relevant for their lattice calculation, namely non-relativistic QCD (NRQCD) for heavy quarks on the lattice and Chiral…

High Energy Physics - Lattice · Physics 2009-09-29 A. Ali Khan

I present our recent results on the critical end point in the \mu_B-T phase diagram of QCD with two flavours of light dynamical quarks and compare them with similar results from other groups. Implications for a possible energy scan at the…

High Energy Physics - Phenomenology · Physics 2015-06-25 Rajiv V. Gavai

A concise review of the progress of lattice calculations at non-zero density since QM2006 is given, with emphasis on the high baryon density, low temperature domain. Possibilities for exploring densities higher than those studied by…

High Energy Physics - Lattice · Physics 2008-11-26 M. P. Lombardo

We study unquenched lattice SU(2) at nonzero chemical potential at strong coupling and with eight flavours of Kogut-Susskind fermions. Introducing a diquark source term we analyze the behaviour of different types of fermion condensates.…

High Energy Physics - Lattice · Physics 2009-10-31 R. Aloisio , V. Azcoiti , G. Di Carlo , A. Galante , A. F. Grillo

We study two flavor fermions with mismatched chemical potentials in quenched lattice QCD. We first consider a large isospin chemical potential, where a charged pion is condensed, and then introduce a small mismatch between the chemical…

High Energy Physics - Lattice · Physics 2014-04-30 Arata Yamamoto

According to the present understanding, the observed diversity of the strong interaction phenomena is described by Quantum Chromodynamics, a gauge field theory with only very few parameters. One of the fundamental questions in this context…

High Energy Physics - Phenomenology · Physics 2009-11-07 Martin Lüscher

An overview of the Lattice technique for studies of the strong interaction is given. Recent results from the UKQCD lattice collaboration are presented. These concentrate on spectral quantities calculated using full (i.e. unquenched) QCD. A…

High Energy Physics - Phenomenology · Physics 2007-05-23 Chris Allton

Some recent beyond Standard Model phenomenology is based on new strongly interacting dynamics of $SU(N)$ gauge fields coupled to various numbers of fermions. When $N=3$ these systems are analogues of QCD, although the fermion masses are…

High Energy Physics - Lattice · Physics 2018-09-11 Thomas DeGrand , Ethan Neil

Lattice field theory methods, usually associated with non-perturbative studies of quantum chromodynamics, are becoming increasingly common in the calculation of ground-state and thermal properties of strongly interacting non-relativistic…

Statistical Mechanics · Physics 2013-09-18 Joaquín E. Drut , Amy N. Nicholson

Recent interest in novel phases in high density QCD motivates the study of high density supersymmetric QCD (SQCD), where powerful exact results for supersymmetric gauge theories can be brought to bear in the strongly coupled regime. We…

High Energy Physics - Phenomenology · Physics 2009-11-10 Roni Harnik , Daniel T. Larson , Hitoshi Murayama

Several studies have emphasized the impact of long-range Coulomb interactions in lattice fermions, yet conventional Auxiliary Field Quantum Monte Carlo (QMC) methods face limitations due to their reliance on positive definite interaction…

Strongly Correlated Electrons · Physics 2024-12-09 Mohammad-Sadegh Vaezi , Davoud Nasr Esfahani

The method of analytic continuation is one of the most powerful tools to circumvent the sign problem in lattice QCD. The present study is part of a larger project which, based on the investigation of QCD-like theories which are free of the…

High Energy Physics - Lattice · Physics 2010-11-05 P. Cea , L. Cosmai , M. D'Elia , A. Papa