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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

We utilize lattice simulations of the dimensionally reduced effective field theory (EQCD) to determine the quark number susceptibility of QCD at high temperature ($T>2T_c$). We also use analytic continuation to obtain results at finite…

High Energy Physics - Lattice · Physics 2008-11-26 Ari Hietanen , Kari Rummukainen

We use a modified directed path algorithm to study the finite temperature chiral singularities of two color lattice QCD with staggered fermions at strong coupling. Our lattice calculations are done at a fixed finite temperature in the…

High Energy Physics - Lattice · Physics 2008-11-26 Fu-Jiun Jiang

We study an effective theory for QCD at finite temperature and density which contains the leading center symmetric and center symmetry breaking terms. The effective theory is studied in a flux representation where the complex phase problem…

High Energy Physics - Lattice · Physics 2011-07-21 Ydalia Delgado Mercado , Hans Gerd Evertz , Christof Gattringer

Finite-temperature quantum field theories are formulated in terms of Green's functions and self-energies on the Matsubara axis. In multi-orbital systems, these quantities are related to positive semidefinite matrix-valued functions of the…

Strongly Correlated Electrons · Physics 2021-10-13 Jiani Fei , Chia-Nan Yeh , Dominika Zgid , Emanuel Gull

We study the high density region of QCD within an effective model obtained in the frame of the hopping parameter expansion. The model still acknowledges the sign problem peculiar to non-zero chemical potential, but it permits the…

High Energy Physics - Lattice · Physics 2016-09-01 Roberto De Pietri , Alessandra Feo , Erhard Seiler , Ion-Olimpiu Stamatescu

We study the two dimensional Hubbard model by use of the ground state algorithm in the Monte Carlo simulation. We employ complex wave functions as trial function in order to have a close look at properties such as chiral spin order…

High Energy Physics - Lattice · Physics 2017-02-01 Masahiro IMACHI , Hiroshi YONEYAMA

Chiral chemical potential does not cause the sign problem in the Monte Carlo simulation of lattice QCD. Using the chiral chemical potential, we study the chiral magnetic effect in two-flavor full QCD. We show that a strong external magnetic…

High Energy Physics - Lattice · Physics 2011-11-22 Arata Yamamoto

We investigate the eigenvalue spectrum of the staggered Dirac matrix in full QCD with two colors and finite chemical potential. Along the strong-coupling axis up to the temperature phase transition, the low-lying Dirac spectrum is well…

High Energy Physics - Lattice · Physics 2007-05-23 Elmar Bittner , Maria-Paola Lombardo , Harald Markum , Rainer Pullirsch

In this paper we investigate the influence of a constant external magnetic field on the finite-temperature phase structure and the chiral properties of a simplified lattice model for QCD. We assume an SU(2) gauge symmetry and employ…

High Energy Physics - Lattice · Physics 2012-06-15 E. -M. Ilgenfritz , M. Kalinowski , M. Muller-Preussker , B. Petersson , A. Schreiber

We solve a random two-matrix model with two real asymmetric matrices whose primary purpose is to describe certain aspects of quantum chromodynamics with two colours and dynamical fermions at nonzero quark chemical potential mu. In this…

High Energy Physics - Lattice · Physics 2015-03-17 G. Akemann , T. Kanazawa , M. J. Phillips , T. Wettig

In the preceding paper(Prog.Theor.Phys.108(2002)929 or hep-ph/0207255), we have shown that the critical line of the first order chiral transition of QCD can have two endpoints. In this addendum, we elucidate the mechanism to realize the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Masakiyo Kitazawa , Tomoi Koide , Teiji Kunihiro , Yukio Nemoto

We study QCD with (2+1)-HISQ fermions at nonzero temperature and nonzero imaginary baryon chemical potential. Monte Carlo simulations are performed using the MILC code along the line of constant physics with a light to strange mass ratio of…

High Energy Physics - Lattice · Physics 2015-10-26 Paolo Cea , Leonardo Cosmai , Alessandro Papa

The chiral condensate in QCD at zero temperature does not depend on the quark chemical potential (up to one third the nucleon mass), whereas the spectral density of the Dirac operator shows a strong dependence on the chemical potential. The…

High Energy Physics - Theory · Physics 2009-02-23 J. C. Osborn , K. Splittorff , J. J. M. Verbaarschot

We investigate the QCD chiral phase transition at finite chemical potential $\mu$, using the renormalization group (RG) to characterize the infrared behavior of sigma models constrained by the flavor and spacetime symmetries. The results…

High Energy Physics - Phenomenology · Physics 2009-10-31 Stephen D. H. Hsu , Myckola Schwetz

I review recent progress in numerical simulations of finite temperature quantum chromodynamics and discuss the status of some outstanding problems. Included is (1) a discussion of recent results determining the temperature of the ``phase…

High Energy Physics - Lattice · Physics 2008-11-26 C. DeTar

The behaviour of the topological susceptibility \chi in QCD with two colours and 8 flavours of quarks is studied at nonzero temperature on the lattice across the finite density transition. It is shown that the signal of \chi drops abruptly…

High Energy Physics - Lattice · Physics 2008-11-26 B. Alles , M. D'Elia , M. P. Lombardo

For quantifying the universal properties of the chiral phase transition in QCD through numerical calculations on a discrete space-time lattice, one needs to perform controlled extrapolations to the continuum and infinite-volume limits…

High Energy Physics - Lattice · Physics 2025-08-28 Sabarnya Mitra , Frithjof Karsch

We study the phase structure of QCD at finite temperature and density by numerical simulations on a lattice. The most important point for the numerical study at finite density is treatment of the sign problem. We propose a method to avoid…

High Energy Physics - Lattice · Physics 2011-03-10 Shinji Ejiri

We summarize recent results obtained in the Dyson-Schwinger formalism to study the chiral and deconfinement phase transitions of quenched and unquenched QCD at finite temperature and chemical potential. In the quenched case we compare SU(2)…

High Energy Physics - Phenomenology · Physics 2015-06-03 Jan Luecker , Christian S. Fischer