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We study the zeros of the $q$-state Potts model partition function $Z(\Lambda,q,v)$ for large $q$, where $v$ is the temperature variable and $\Lambda$ is a section of a regular $d$-dimensional lattice with coordination number…

Statistical Mechanics · Physics 2015-06-25 Shu-Chiuan Chang , Robert Shrock

Lattice QCD at non-vanishing chemical potential is studied using the complex Langevin equation (CLE). One of the conditions for the correctness of the results of the CLE is that the zeroes of the measure coming from the fermionic…

High Energy Physics - Lattice · Physics 2016-11-10 G. Aarts , E. Seiler , D. Sexty , I. -O. Stamatescu

The WHOT-QCD Collaboration is pushing forward lattice studies of QCD at finite temperatures and densities using improved Wilson quarks. We first present results on QCD at zero and finite densities with two flavors of degenerate quarks…

High Energy Physics - Lattice · Physics 2011-03-10 K. Kanaya , S. Aoki , S. Ejiri , T. Hatsuda , N. Ishii , Y. Maezawa , H. Ohno , H. Saito , N. Ukita , T. Umeda

We study the linear response to an external electric field of a system of fermions in a lattice at zero temperature. This allows to measure numerically the Euclidean conductivity which turns out to be compatible with an analytical…

Condensed Matter · Physics 2009-10-31 J. L. Alonso , L. A. Fernandez , V. Martin-Mayor

A recently developed technique to determine the order and strength of phase transitions by extracting the density of partition function zeroes (a continuous function) from finite-size systems (a discrete data set) is generalized to systems…

High Energy Physics - Lattice · Physics 2009-11-07 Wolfhard Janke , Des Johnston , Ralph Kenna

We simulate lattice QCD with an irrelevant chiral 4-fermion interaction which allows us to simulate at zero quark mass. This enables us to study the finite-temperature chiral-symmetry-restoring phase transition for 2 massless quark…

High Energy Physics - Lattice · Physics 2007-05-23 J. B. Kogut , D. K. Sinclair

The behaviour of the chiral condensate in QCD is investigated by means of a study of the distribution of the zeros of the partition function in the complex quark mass plane. Simulations are performed at fixed temperature on three different…

High Energy Physics - Lattice · Physics 2009-10-22 I. M. Barbour , A. J. Bell , E. G. Klepfish

We study the Roberge-Weiss phase transition numerically. The phase transition is associated with the discontinuities in the quark-number density at specific values of imaginary quark chemical potential. We parameterize the quark number…

High Energy Physics - Lattice · Physics 2023-01-25 V. G. Bornyakov , N. V. Gerasimeniuk , V. A. Goy , A. A. Korneev , A. V. Molochkov , A. Nakamura , R. N. Rogalyov

We study the zeros of the partition function in the complex temperature plane (Fisher zeros) and in the complex external field plane (Lee-Yang zeros) of a frustrated Ising model with competing nearest-neighbor ($J_1 > 0$) and…

Statistical Mechanics · Physics 2024-10-16 Denis Gessert , Martin Weigel , Wolfhard Janke

We estimate the effects of dynamical fermions by extrapolating to positive flavour numbers the results from negative values obtained by adding to the pure gauge sector a fermion action where the fields obey a Bose statistics: the bermions.

High Energy Physics - Lattice · Physics 2015-06-25 G. M. de Divitiis , R. Frezzotti , M. Guagnelli , M. Masetti , R. Petronzio

We study the nature of the finite temperature phase transition for three-flavor QCD. In particular we investigate the location of the critical endpoint along the three flavor symmetric line in the light quark mass region of the Columbia…

High Energy Physics - Lattice · Physics 2020-03-25 Yoshinobu Kuramashi , Yoshifumi Nakamura , Hiroshi Ohno , Shinji Takeda

A study of QCD at non-zero chemical potential, mu, and temperature, T, is performed using the lattice technique. The transition temperature (between the confined and deconfined phases) is determined as a function of mu and is found to be in…

High Energy Physics - Phenomenology · Physics 2017-08-23 C. R. Allton , S. Ejiri , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , Ch. Schmidt , L. Scorzato

The phase diagram and the location of the critical endpoint (CEP) of lattice QCD with unimproved staggered fermions on a $N_t=4$ lattice was determined fifteen years ago with the multiparameter reweighting method by studying Fisher zeros.…

High Energy Physics - Lattice · Physics 2020-08-12 Matteo Giordano , Kornel Kapas , Sandor D. Katz , Daniel Nogradi , Attila Pasztor

We have investigated QCD with two flavors of degenerate fermions using a Symanzik-improved lattice action for both the gauge and fermion actions. Our study focuses on the deconfinement transition on an $N_t=4$ lattice. Having located the…

All approaches currently used to study finite baryon density lattice QCD suffer from uncontrolled systematic uncertainties in addition to the well-known sign problem. We formulate and test an algorithm, sign reweighting, that works directly…

High Energy Physics - Lattice · Physics 2020-06-24 Matteo Giordano , Kornel Kapas , Sandor D. Katz , Daniel Nogradi , Attila Pasztor

Lattice formulation of Finite Baryon Density QCD is problematic from computer simulation point of view; it is well known that for light quark masses the reconstructed partition function fails to be positive in a wide region of parameter…

High Energy Physics - Lattice · Physics 2009-12-30 R. Aloisio , V. Azcoiti , G. Di Carlo , A. Galante , A. F. Grillo

We study the finite temperature phase structure for three-flavor QCD with a focus on locating the critical point which separates crossover and first order phase transition region in the chiral regime of the Columbia plot. In this study, we…

High Energy Physics - Lattice · Physics 2017-10-20 Xiao-Yong Jin , Yoshinobu Kuramashi , Yoshifumi Nakamura , Shinji Takeda , Akira Ukawa

We calculate the vacuum polarization functions on the lattice using the overlap fermion formulation.By matching the lattice data at large momentum scales with the perturbative expansion supplemented by Operator Product Expansion (OPE), we…

High Energy Physics - Lattice · Physics 2019-08-13 E. Shintani , S. Aoki , T. W. Chiu , S. Hashimoto , T. H. Hsieh , T. Kaneko , H. Matsufuru , J. Noaki , T. Onogi , N. Yamada

We simulate two-flavour lattice QCD with at a finite chemical potential $\mu_I$ for isospin, and finite temperature. At small $\mu_I$, we determine the position of the crossover from hadronic matter to a quark-gluon plasma as a function of…

High Energy Physics - Lattice · Physics 2014-11-17 J. B. Kogut , D. K. Sinclair

We investigate the phase structure of 3-flavor QCD in the presence of finite quark chemical potential by using Wilson-Clover fermions. To deal with the complex action with finite density, we adopt the phase reweighting method. In order to…

High Energy Physics - Lattice · Physics 2015-10-28 Shinji Takeda , Xiao-Yong Jin , Yoshinobu Kuramashi , Yoshifumi Nakamura , Akira Ukawa
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