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We investigate the extension of the Prokof'ev-Svistunov worm algorithm to Wilson lattice fermions in an external scalar field. We effectively simulate by Monte Carlo the graphs contributing to the hopping expansion of the two-point function…

High Energy Physics - Lattice · Physics 2009-04-02 Ulli Wolff

For a long time, strong coupling expansions have not been applied systematically in lattice QCD thermodynamics, in view of the succes of numerical Monte Carlo studies. The persistent sign problem at finite baryo-chemical potential, however,…

High Energy Physics - Lattice · Physics 2021-08-18 Owe Philipsen

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 present our results obtained from gauge cooled complex Langevin simulations in 1+1d QCD at non-zero densities in the strong coupling regime with unrooted staggered fermions. For small quark masses there are regions of the chemical…

High Energy Physics - Lattice · Physics 2016-11-03 Sebastian Schmalzbauer , Jacques Bloch

This paper is devoted to the study of QCD equation of state in external magnetic field and nonzero baryon density. Our study is carried out by means of lattice simulation with 2+1 dynamical staggered quarks at the physical masses. The…

High Energy Physics - Lattice · Physics 2024-05-28 N. Astrakhantsev , V. V. Braguta , A. Yu. Kotov , A. A. Roenko

QCD at non-zero chemical potential ($\mu$) for quark number has a complex fermion determinant and thus standard simulation methods for lattice QCD cannot be applied. We therefore simulate this theory using the Complex-Langevin algorithm…

High Energy Physics - Lattice · Physics 2015-10-22 D. K. Sinclair , J. B. Kogut

We employ the Complex Langevin method for simulation of complex-valued actions. First, we show how to test for convergence of the method by explicitely computing boundary terms and demonstrate this in a model. Then we investigate the…

High Energy Physics - Lattice · Physics 2018-10-30 Manuel Scherzer , Erhard Seiler , Dénes Sexty , Ion-Olimpiu Stamatescu

As a computationally less costly test case for full QCD, we investigate an SU(3) Yang-Mills theory coupled to a bosonic spinor field. This theory corresponds to QCD with minus two quark flavors and is known as the bermion model. Our central…

High Energy Physics - Lattice · Physics 2007-05-23 Bernd Gehrmann

Combining strong coupling and hopping expansion one can derive a dimensionally reduced effective theory of lattice QCD. This theory has a reduced sign problem, is amenable to analytic evaluation and was successfully used to study the cold…

High Energy Physics - Lattice · Physics 2019-12-05 Owe Philipsen , Jonas Scheunert

We present results on the QCD equation of state, obtained with two different improved dynamical staggered fermion actions and almost physical quark masses. Lattice cut-off effects are discussed in detail as results for three different…

High Energy Physics - Lattice · Physics 2015-05-13 Christian Schmidt , for RBC-Bielefeld , HotQCD Collaborations

We simulate lattice QCD with two flavors of Wilson fermions at imaginary baryon chemical potential. Results for the baryon number density computed in the confining and deconfining phases at imaginary baryon chemical potential are used to…

High Energy Physics - Lattice · Physics 2018-08-29 V. G. Bornyakov , D. L. Boyda , V. A. Goy , H. Iida , A. V. Molochkov , Atsushi Nakamura , A. A. Nikolaev , V. I. Zakharov , M. Wakayama

Charting the phase diagram of Quantum Chromodynamics (QCD) at large density is a challenging task due to the complex action problem in lattice simulations. Through simulations at imaginary baryon chemical potential $\mu_B$ we observe that,…

High Energy Physics - Lattice · Physics 2025-11-03 Szabolcs Borsányi , Zoltán Fodor , Jana N. Guenther , Piyush Kumar , Paolo Parotto , Attila Pásztor , Chik Him Wong

In the complex Langevin approach to lattice simulations at nonzero density, zeroes of the fermion determinant lead to a meromorphic drift and hence a need to revisit the theoretical derivation. We discuss how poles in the drift affect the…

High Energy Physics - Lattice · Physics 2016-11-10 Gert Aarts , Erhard Seiler , Denes Sexty , Ion-Olimpiu Stamatescu

The QCD-motivated constituent string model is extended to consider the baryon. The system of three quarks propagating in the confining background field is studied in the Wilson loop approach, and the effective action is obtained. The…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yu. S. Kalashnikova , A. V. Nefediev

Complex Langevin simulations provide an alternative to sample path integrals with complex weights and therefore are suited to determine the phase diagram of QCD from first principles. Adaptive step-size scaling and gauge cooling are used to…

High Energy Physics - Lattice · Physics 2015-11-02 Gert Aarts , Felipe Attanasio , Benjamin Jäger , Erhard Seiler , Dénes Sexty , Ion-Olimpiu Stamatescu

We extend the dual algorithm recently described for pure, non-abelian Yang-Mills on the lattice to the case of lattice fermions coupled to Yang-Mills, by constructing an ergodic Metropolis algorithm for dynamic fermions that is local,…

High Energy Physics - Lattice · Physics 2008-11-26 J. Wade Cherrington

We study lattice QCD at non-vanishing chemical potential using the complex Langevin equation. We compare the results with multi-parameter reweighting both from $\mu=0$ and phase quenched ensembles. We find a good agreement for lattice…

High Energy Physics - Lattice · Physics 2015-12-02 Z. Fodor , S. D. Katz , D. Sexty , C. Török

We explore the QCD equation of state at finite baryon density through an expansion in baryon number fugacity, making use of the recent lattice data on the four leading Fourier coefficients of the expansion. A state-of-the-art description of…

High Energy Physics - Phenomenology · Physics 2019-05-06 Volodymyr Vovchenko , Jan Steinheimer , Owe Philipsen , Horst Stoecker

Finite density lattice QCD usually relies on extrapolations in baryon chemical potential ($\mu_B$), be it Taylor expansion, T' expansion (\cite{Borsanyi:2021sxv}) or analytical continuation. However, their range of validity is difficult to…

We introduce a new non-Hermitian random matrix model for QCD with a baryon chemical potential. This model is a direct chiral extension of a previously studied model that interpolates between the Wigner-Dyson and Ginibre ensembles. We…

High Energy Physics - Theory · Physics 2009-11-10 James C. Osborn