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Related papers: Perfect Actions with Chemical Potential

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Determining the QCD phase diagram is a pressing task in view of its relevance for nuclear and astro-particle physics programmes. We review the current status of lattice calculations of the phase diagram in the (T,\mu_B)-plane for baryon…

High Energy Physics - Phenomenology · Physics 2009-01-14 Owe Philipsen

Using both perturbation theory in the Euclidean formalism as well as the non-perturbative Fujikawa's method, we verify that the chiral anomaly equation remains unaffected in continuum QCD in the presence of nonzero chemical potential, \mu.…

High Energy Physics - Lattice · Physics 2010-11-05 Rajiv V. Gavai , Sayantan Sharma

We present results of a simulation of QCD on a 4x16^3 lattice with 2 continuum flavors of p4-improved staggered fermion with mass m/T=0.4. Derivatives of the thermodynamic grand potential with respect to quark chemical potential mu_q up to…

High Energy Physics - Lattice · Physics 2011-05-05 C. R. Allton , S. Ejiri , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , C. Schmidt

State-of-the-art lattice QCD studies of hot and dense strongly interacting matter currently rely on extrapolation from zero or imaginary chemical potentials. The ill-posedness of numerical analytic continuation puts severe limitations on…

High Energy Physics - Lattice · Physics 2022-04-06 Szabolcs Borsanyi , Zoltan Fodor , Matteo Giordano , Sandor D. Katz , Daniel Nogradi , Attila Pasztor , Chik Him Wong

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 2009-10-28 Thomas C. Blum , James E. Hetrick , Doug Toussaint

We present results of a simulation of 2-flavor QCD on a 4x16^3 lattice using p4-improved staggered fermions with bare quark mass m/T=0.4. Derivatives of the thermodynamic grand canonical partition function Z(V,T,mu_u,mu_d) with respect to…

High Energy Physics - Lattice · Physics 2008-11-26 C. R. Allton , M. Doering , S. Ejiri , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , K. Redlich

We compare the chemical potential associated with the onset of non-zero baryon number density on $6^4$ and $8^4$ lattices at $\beta=5.1$ and ma=0.01. We provide evidence for $Z(3)$ tunnelling. We determine a critical chemical potential of…

High Energy Physics - Lattice · Physics 2009-10-28 I. M. Barbour , J. B. Kogut , S. E. Morrison

Standard lattice fermion algorithms run into the well-known sign problem at real chemical potential. In this paper we investigate the possibility of using imaginary chemical potential, and argue that it has advantages over other methods,…

High Energy Physics - Lattice · Physics 2009-07-09 M. Alford , A. Kapustin , F. Wilczek

We have developed a method to derive the (approximate) quark contribution to the fermion free energy of QCD on a lattice, at finite temperature and chemical potential, with Kogut-Susskind fermions in the flavor basis. We show here the…

High Energy Physics - Lattice · Physics 2011-01-10 Sergio Caracciolo , Fabrizio Palumbo

Using an integration formula recently derived by Conrey, Farmer and Zirnbauer, we calculate the expectation value of the phase factor of the fermion determinant for the staggered lattice QCD action in one dimension. We show that the…

High Energy Physics - Theory · Physics 2008-11-26 L. Ravagli , J. J. M. Verbaarschot

We study lattice two-color QCD (QC$_2$D) with two flavors of staggered fermions at imaginary and real quark chemical potential $\mu_q$ and $T>T_c$. We employ various methods of extrapolation of the quark number density from imaginary to…

High Energy Physics - Lattice · Physics 2024-12-16 A. Begun , V. G. Bornyakov , N. V. Gerasimeniuk , V. A. Goy , A. Nakamura , R. N. Rogalyov

We describe two-flavor QCD lattice data for the pressure at finite temperature and zero chemical potential within a quasiparticle model. Relying only on thermodynamic selfconsistency, the model is extended to nonzero chemical potential. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Peshier , B. Kampfer , G. Soff

Consideration of the analytic properties of pion-induced baryon self energies leads to new functional forms for the extrapolation of light baryon masses. These functional forms reproduce the leading non-analytic behavior of chiral…

Nuclear Theory · Physics 2010-02-17 Anthony W. Thomas , Derek B. Leinweber , Kazuo Tsushima , Stewart V. Wright

We study the thermal properties of QCD in the presence of a small quark chemical potential $\mu$. Derivatives of the phase transition point with respect to $\mu$ are computed at $\mu=0$ for 2 and 3 flavors of p-4 improved staggered fermions…

High Energy Physics - Lattice · Physics 2009-11-07 S. Ejiri , C. R. Allton , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , Ch. Schmidt

I describe the results for the critical line and the thermodynamics of different phases of QCD which have been obtained by lattice simulations with an imaginary chemical potential, and review motivations and merits of the different…

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

A brief review is given of the sign problem in finite density lattice QCD and various attempts to overcome it. To date there is still no solution to this problem which would work for realistic QCD. The main focus then is on the deconfined…

High Energy Physics - Lattice · Physics 2009-10-31 O. Philipsen

It is shown that starting from one and the same transfer matrix formulation of QCD on a lattice, it is possible to obtain both the action of Hasenfratz and Karsch as well as an action where the chemical potential is not coupled to the…

High Energy Physics - Lattice · Physics 2013-05-29 F. Palumbo

In this Letter we employ lattice simulations to search for the critical point of quantum chromodynamics (QCD). We search for the onset of a first order QCD transition on the phase diagram by following contours of constant entropy density…

We describe an efficient algorithm to compute a large number of baryon-baryon interactions from $NN$ to $\Xi\Xi$ by means of HAL QCD method, which lays the groundwork for the nearly physical point lattice QCD calculation with volume…

We calculate the baryon chemical potential ($\mu_B$) dependence of thermodynamic observables, i.e., pressure, baryon number density and susceptibility by lattice QCD using the canonical approach. We compare the results with those by the…

High Energy Physics - Lattice · Physics 2016-06-01 Ryutaro Fukuda , Atsushi Nakamura , Shotaro Oka