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The sign problem in numerical calculations of the QCD Euclidean space path integral of QCD with a chemical potential vanishes if the chemical potential is imaginary. Moreover, calculations of the partition function with imaginary chemical…

Nuclear Theory · Physics 2026-02-02 Thomas D. Cohen

The nature of the finite temperature phase transition of QCD depends on the particle density and the mass of the dynamical quarks. We discuss the properties of the phase transition at high density, considering an effective theory describing…

High Energy Physics - Lattice · Physics 2026-04-23 Shinji Ejiri , Masanari Koiida

We discuss the interplay between chiral and center sector phase transitions that occur in QCD with an imaginary quark chemical potential $\mu=i(2n+1) \pi T/3$. Based on a finite size scaling analysis in (2+1)-flavor QCD using HISQ fermions…

High Energy Physics - Lattice · Physics 2022-08-17 F. Cuteri , J. Goswami , F. Karsch , Anirban Lahiri , M. Neumann , O. Philipsen , Christian Schmidt , A. Sciarra

We study the free energy of a static quark in QCD with 2+1 flavors in a wide temperature region, 116 MeV $< T < $ 5814 MeV, using the highly improved staggered quark (HISQ) action. We analyze the transition region in detail, obtain the…

High Energy Physics - Lattice · Physics 2016-06-21 A. Bazavov , N. Brambilla , H. -T. Ding , P. Petreczky , H. -P. Schadler , A. Vairo , J. H. Weber

We determine the quark condensate and the dressed Polyakov loop from the finite temperature Landau gauge quark propagator evaluated with U(1)-valued boundary conditions in an approximation to quenched QCD. These gauge invariant quantities…

High Energy Physics - Phenomenology · Physics 2009-11-05 Christian S. Fischer , Jens A. Mueller

Finite temperature auxiliary field-based Quantum Monte Carlo methods, including Determinant Quantum Monte Carlo (DQMC) and Auxiliary Field Quantum Monte Carlo (AFQMC), have historically assumed pivotal roles in the investigation of the…

Quantum Physics · Physics 2021-02-03 Tong Shen , Yuan Liu , Yang Yu , Brenda Rubenstein

We discuss divergences of loop functions in thermal QCD and compute perturbatively the Polyakov loop, the Polyakov loop correlator and the cyclic Wilson loop. We show how these functions get mixed under renormalization.

High Energy Physics - Phenomenology · Physics 2015-06-23 Antonio Vairo

We argue that the domain structure of deconfined QCD matter, which can be inferred from the properties of the Polyakov loop, can simultaneously explain the two most prominent experimentally verified features of the quark-gluon plasma,…

Nuclear Theory · Physics 2015-03-20 Masayuki Asakawa , Steffen A. Bass , Berndt Müller

The phase space of quantum mechanics can be viewed as the complex projective space endowed with a Kaehlerian structure given by the Fubini-Study metric and an associated symplectic form. We can then interpret the Schrodinger equation as…

Quantum Physics · Physics 2009-10-30 D. C. Brody , L. P. Hughston

We study the thermodynamics of QCD system under external magnetic field via the 2+1 flavor Polyakov-loop quark-meson model. To incorporate quantum and thermal fluctuations, the functional renormalization group approach is implemented in our…

High Energy Physics - Phenomenology · Physics 2019-05-02 Xiang Li , Wei-jie Fu , Yu-xin Liu

The method of analytical continuation from imaginary to real chemical potential is tested in 2-color QCD. In comparison to previous studies in the same theory, an exact updating algorithm is used and simulations are performed closer to the…

High Energy Physics - Lattice · Physics 2009-09-29 P. Cea , L. Cosmai , M. D'Elia , A. Papa

Recent consensus on the $N_f=2+1$ equation of state at vanishing chemical potential from different lattice-QCD groups has spoiled the previous agreement with the outcome from the mean-field Polyakov-Nambu-Jona-Lasinio model. In this letter…

Nuclear Theory · Physics 2017-04-28 Juan M. Torres-Rincon , Joerg Aichelin

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

We summarize recent results on the hadron resonance gas description of QCD. In particular, we apply this approach to describe the equation of state and the vacuum expectation value of the Polyakov loop in several representations.…

High Energy Physics - Phenomenology · Physics 2015-06-17 E. Megias , E. Ruiz Arriola , L. L. Salcedo

The Polyakov loop has been used repeatedly as an order parameter in the deconfinement phase transition in QCD. We argue that, in the confined phase, its expectation value can be represented in terms of hadronic states, similarly to the…

High Energy Physics - Phenomenology · Physics 2012-10-11 E. Megias , E. Ruiz Arriola , L. L. Salcedo

We compute the two-loop mixed QCD-Electroweak corrections to $q \overline{q} \to H g$ and its crossed channels $q g \to H q$, $\overline{q} g \to H \overline{q}$, limiting ourselves to the contribution of light virtual quarks. We compute…

High Energy Physics - Phenomenology · Physics 2022-07-18 Marco Bonetti , Erik Panzer , Lorenzo Tancredi

Augmenting the improved chiral effective potential of the on-shell renormalized 2+1 flavour quark-meson (RQM) model with the Polyakov-loop potential that accounts for the deconfinement transition,~we get the Quantum Chromodynamics (QCD)…

High Energy Physics - Phenomenology · Physics 2023-06-22 Suraj Kumar Rai , Vivek Kumar Tiwari

We continue our investigation of 2+1 flavor QCD thermodynamics using dynamical Wilson fermions in the fixed scale approach. Two additional pion masses, approximately 440 MeV and 285 MeV, are added to our previous work at 545 MeV. The…

We study the nature of the phase transition of lattice gauge theories at high temperature and high density by focusing on the probability distribution function, which represents the probability that a certain density will be realized in a…

High Energy Physics - Lattice · Physics 2023-01-04 Shinji Ejiri

We discuss the quenched limit of lattice QCD at non-zero baryon number density. We find evidence for a mixed phase that becomes broader with increasing baryon number. Although the action is explicitly Z(3) symmetric the Polyakov loop…

High Energy Physics - Lattice · Physics 2007-05-23 O. Kaczmarek , with J. Engels , F. Karsch , E. Laermann
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