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In this talk I discuss three recent developments in the theoretical understanding of the phase diagram of the strong interaction. The first topic deals with the comparison of model calculations of the quark-hadron transition at vanishing…

High Energy Physics - Phenomenology · Physics 2017-08-23 Jochen Wambach

A large class of quantum and statistical field theoretical models, encompassing relevant condensed matter and non-abelian gauge systems, are defined in terms of complex actions. As the ordinary Monte-Carlo methods are useless in dealing…

Statistical Mechanics · Physics 2009-11-11 L. Moriconi , M. Moriconi

We discuss the main aspects of the fixed-node quantum Monte Carlo method for lattice fermions and its recent application to the problem of phase separation in the 2D Hubbard model, along with virtues, limitations and perspectives of this…

Strongly Correlated Electrons · Physics 2007-05-23 Giovanni B. Bachelet , Andrea C. Cosentini

In the past few years a wealth of high quality data has made possible to test current theoretical ideas about the properties of hadrons subject to extreme conditions of density and temperature. The relativistic heavy-ion program carried out…

High Energy Physics - Phenomenology · Physics 2016-11-23 Alejandro Ayala

This is a review of strong coupling approaches to grasp the nature of the phase transition in finite temperature and density QCD. We commence with classics of the center symmetry and the Polyakov loop in pure gauge theories. The effective…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kenji Fukushima

We consider QCD at very low temperatures and non-zero quark chemical potential from lattice Monte Carlo simulations of the two-color theory in a very small spatial volume (the attoscale). In this regime the quark number rises in discrete…

High Energy Physics - Lattice · Physics 2015-03-17 Simon Hands , Timothy J. Hollowood , Joyce C. Myers

I review recent results on phase structure and equation of state of strong interaction matter from lattice QCD. Particular emphasis is given to the axes where direct simulations are possible and results are obtained with sufficient control…

High Energy Physics - Lattice · Physics 2025-12-12 Bastian B. Brandt

In this paper we carry out a low-temperature scan of the phase diagram of dense two-color QCD with $N_f=2$ quarks. The study is conducted using lattice simulation with rooted staggered quarks. At small chemical potential we observe the…

High Energy Physics - Lattice · Physics 2016-12-19 V. V. Braguta , E. -M. Ilgenfritz , A. Yu. Kotov , A. V. Molochkov , A. A. Nikolaev

We update our numerical investigation of topological structures around static quarks in pure gauge QCD by results of the first runs including dynamical quarks. Simulations were performed on an $8^3\times4$ lattice, with $SU(3)$ Wilson…

High Energy Physics - Lattice · Physics 2008-11-26 M. Faber , H. Markum , S. Olejnik , W. Sakuler

Off-central heavy-ion collisions are known to feature magnetic fields with magnitudes and characteristic gradients corresponding to the scale of the strong interactions. In this work, we employ equilibrium lattice simulations of the…

High Energy Physics - Lattice · Physics 2024-01-05 B. B. Brandt , F. Cuteri , G. Endrődi , G. Markó , L. Sandbote , A. D. M. Valois

This note is based on our recent results on QCD with varying number of flavors of fundamental fermions. Topics include unusual, strong dynamics in the preconformal, confining phase, the physics of the conformal window and the role of…

High Energy Physics - Lattice · Physics 2013-04-12 A. Deuzeman , M. P. Lombardo , K. Miura , T. Nunes da Silva , E. Pallante

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 2007-05-23 T. Blum , J. E. Hetrick , D. Toussaint

We improve and extend our study of the complex in-medium heavy quark potential and its Debye mass $m_D$ in a gluonic medium with a finer scan around the deconfinement transition and newly generated ensembles closer to the thermodynamic…

High Energy Physics - Lattice · Physics 2017-04-19 Yannis Burnier , Alexander Rothkopf

We derive the primitive quantum gate sets to simulate lattice quantum chromodynamics (LQCD) in the strong-coupling limit with one flavor of massless staggered quarks. This theory is of interest for studies at non-zero density as the sign…

High Energy Physics - Lattice · Physics 2025-08-20 Michael Fromm , Owe Philipsen , Wolfgang Unger , Christopher Winterowd

It is sometimes speculated that the sign problem that afflicts many quantum field theories might be reduced or even eliminated by choosing an alternative domain of integration within a complexified extension of the path integral (in the…

High Energy Physics - Lattice · Physics 2015-07-14 AuroraScience Collaboration , Marco Cristoforetti , Francesco Di Renzo , Luigi Scorzato

We present results of simulations of the quenched quarkonium spectrum at two values of the lattice spacing and for quark masses around $m_c$ using the tadpole improved clover action. Attention is focussed on the lowest lying S and P states,…

High Energy Physics - Lattice · Physics 2007-05-23 Peter Boyle

A general discussion is presented of the possible symmetries responsible for confinement of color and of their evidence in lattice simulations. The consequences on the phase diagram of $QCD$ are also analyzed.

High Energy Physics - Lattice · Physics 2009-01-05 A. Di Giacomo

We investigate the phase structure of lattice QCD for the general number of flavors in the parameter space of gauge coupling constant and quark mass, employing the one-plaquette gauge action and the standard Wilson quark action. Performing…

High Energy Physics - Lattice · Physics 2009-11-10 Y. Iwasaki , K. Kanaya , S. Kaya , S. Sakai , T. Yoshie

Recent lattice results on QCD at finite temperatures and densities are reviewed. Two new and independent techniques give compatible results for physical quantities. The phase line separating the hadronic and quark-gluon plasma phases, the…

High Energy Physics - Lattice · Physics 2009-11-07 Z. Fodor

We classify phases of a bosonic lattice model based on the computational complexity of classically simulating the system. We show that the system transitions from being classically simulable to classically hard to simulate as it evolves in…