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A finite size scaling is applied to the Yang-Lee zeros of the grand canonical partition function for the 2-D Hubbard model in the complex chemical potential plane. The logarithmic scaling of the imaginary part of the zeros with the system…

Condensed Matter · Physics 2009-10-28 E. Abraham , I. M. Barbour , P. H. Cullen , E. G. Klepfish , E. R. Pike , Sarben Sarkar

I review the presence of the sign problem in lattice QCD at nonzero baryon density and its relation with the overlap and Silver Blaze problems. I then discuss progress in some cases where the sign problem can be handled, either because the…

High Energy Physics - Lattice · Physics 2013-03-05 Gert Aarts

We discuss classification of defects of various codimensions within a holographic model of pure Yang-Mills theories or gauge theories with fundamental matter. We focus on their role below and above the phase transition point as well as…

High Energy Physics - Phenomenology · Physics 2009-07-30 Alexander Gorsky , Valentin Zakharov , Ariel Zhitnitsky

We investigate the QCD chiral phase transition at high baryon number density within the linear quark meson model for two flavors. The method we employ is based on an exact renormalization group equation for the free energy. Truncated…

High Energy Physics - Phenomenology · Physics 2010-02-04 J. Berges , D. -U. Jungnickel , C. Wetterich

Our knowledge about the QCD phase diagram at finite baryon chemical potential $\mu_{B}$ is limited by the well known sign problem. The path integral measure, in the standard determinantal approach, becomes complex at finite $\mu_{B}$ so…

High Energy Physics - Lattice · Physics 2018-11-08 Giuseppe Gagliardi , Wolfgang Unger

We investigate the Ising model in one, two, and three dimensions using a cumulant method that allows us to determine the Lee-Yang zeros from the magnetization fluctuations in small lattices. By doing so with increasing system size, we are…

Statistical Mechanics · Physics 2020-11-13 Aydin Deger , Fredrik Brange , Christian Flindt

Whether Quantum Chromodynamics (QCD) exhibits a phase transition at finite temperature and density is an open question. It is important for hydrodynamic modeling of heavy ion collisions and neutron star mergers. Lattice QCD simulations have…

Nuclear Theory · Physics 2022-10-19 J. I. Kapusta , T. Welle

We take the Dyson-Schwinger Equation approach of QCD for the quark propagator at complex chemical potential to study the QCD phase transition. The phase transition line of the $(2+1)$-flavor QCD matter in the imaginary chemical potential…

High Energy Physics - Phenomenology · Physics 2024-08-20 Zi-Yan Wan , Yi Lu , Fei Gao , Yu-Xin Liu

The densities of Yang-Lee zeros for the Ising ferromagnet on the $L\times L$ square lattice are evaluated from the exact grand partition functions ($L=3\sim16$). The properties of the density of Yang-Lee zeros are discussed as a function of…

Statistical Mechanics · Physics 2009-11-11 Seung-Yeon Kim

The Bielefeld Parma Collaboration has in recent years put forward a method to probe finite density QCD by the detection of Lee-Yang singularities. The location of the latter is obtained by multi-point Pad\`e approximants, which are in turn…

High Energy Physics - Lattice · Physics 2024-05-21 F. Di Renzo , D. A. Clarke , P. Dimopoulos , J. Goswami , C. Schmidt , S. Singh , K. Zambello

Aiming at evading the notorious sign problem in classical Monte-Carlo approaches to lattice quantum chromodynamics, we present an approach for quantum computing finite-temperature lattice gauge theories at non-zero density. Based on the…

High Energy Physics - Lattice · Physics 2022-12-23 Zohreh Davoudi , Niklas Mueller , Connor Powers

We study spin-glass systems characterized by continuous occurrence of singularities. The theory of Lee-Yang zeros is used to find the singularities. By using the replica method in mean-field systems, we show that two-dimensional…

Statistical Mechanics · Physics 2013-12-18 Kazutaka Takahashi , Tomoyuki Obuchi

We investigate the impact of finite volume and the corresponding restrictions on long-range correlations on the location of the critical endpoint in the QCD phase diagram. To this end, we employ a sophisticated combination of lattice…

High Energy Physics - Phenomenology · Physics 2021-11-01 Julian Bernhardt , Christian S. Fischer , Philipp Isserstedt , Bernd-Jochen Schaefer

We investigate the deconfining phase transition in SU(3) pure gauge theory and in full QCD with two flavors of staggered fermions by means of a gauge invariant thermal partition functional. In the pure gauge case our finite size scaling…

High Energy Physics - Lattice · Physics 2008-11-26 P. Cea , L. Cosmai , M. D'Elia

QCD at non-zero baryon density is expected to have a critical point where the zero-density cross-over turns into a first order phase transition. To identify this point we scan the density-temperature space using a canonical ensemble method.…

High Energy Physics - Lattice · Physics 2009-04-14 Anyi Li , Xiangfei Meng , Andrei Alexandru , Keh-Fei Liu

Yang-Lee edge singularities are the branch point of the free energy on the complex plane of physical parameters and were shown to be the simplest universality class of phase transitions. However, the Yang-Lee edge singularities have not…

Statistical Mechanics · Physics 2017-08-10 Bo-Bo Wei

We study the distribution of partition function zeroes for the $XY$--model in two dimensions. In particular we find the scaling behaviour of the end of the distribution of zeroes in the complex external magnetic field plane in the…

High Energy Physics - Lattice · Physics 2009-10-22 R. Kenna , A. C. Irving

We present a numerical calculation of the Lee-Yang and Fisher zeros of the 2D Ising model using multi-point Pad\'{e} approximants. We perform simulations for the 2D Ising model with ferromagnetic couplings both in the absence and in the…

High Energy Physics - Lattice · Physics 2024-04-16 Simran Singh , Massimo Cipressi , Francesco Di Renzo

We present results of the location of the closest singularities in the complex chemical potential plane using a novel method. These results are obtained with (2+1)-flavor of highly improved staggered quarks (HISQ) on lattices with temporal…

We study the phase diagram of quantum chromodynamics (QCD). For this purpose we employ the Schwinger-Dyson equations (SDEs) technique and construct a truncation of the infinite tower of equations by demanding a matching with the lattice…

High Energy Physics - Phenomenology · Physics 2015-06-15 Enif Gutierrez , Aftab Ahmad , Alejandro Ayala , Adnan Bashir , Alfredo Raya
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