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We study topology in Quantum Chromodynamics at high temperatures by means of lattice calculations. Simulations are performed with $N_f=2+1+1$ Wilson twisted mass fermions at maximal twist with physical quark masses, and temperatures…

High Energy Physics - Lattice · Physics 2025-09-08 A. Yu. Kotov , M. P. Lombardo , A. Trunin

Effective coupling constant in quantum electrodynamics is investigated. A pole appears in the effective coupling constant for the space-like momentum if it is calculated by perturbation. The pole can be eliminated by the analytic…

High Energy Physics - Phenomenology · Physics 2007-10-09 Hirohisa Ishikawa , Keiji Watanabe

In this Letter, we provide a determination of the coupling constant in three-flavor quantum chromodynamics (QCD), $\alpha^{\overline{\mathrm{MS}}}_s(\mu)$, for $\overline{\mathrm{MS}}$ renormalization scales $\mu \in (1,\,2)$ GeV. The…

High Energy Physics - Lattice · Physics 2021-01-04 Salvatore Cali , Krzysztof Cichy , Piotr Korcyl , Jakob Simeth

Using recently developed Lanczos technique we study finite-temperature properties of the 2D Kondo lattice model at various fillings of the conduction band. At half filling the quasiparticle gap governs physical properties of the chemical…

Strongly Correlated Electrons · Physics 2009-10-31 K. Haule , J. Bonca , P. Prelovsek

The phase diagram and critical behavior of scalar quantum electrodynamics are investigated using lattice gauge theory techniques. The lattice action fixes the length of the scalar (``Higgs'') field and treats the gauge field as non-compact.…

High Energy Physics - Lattice · Physics 2019-08-17 M. Baig , H. Fort , JB Kogut , S. Kim

We present the equation of state (pressure, trace anomaly, energy density and entropy density) of the SU(3) gauge theory from lattice field theory in an unprecedented precision and temperature range. We control both finite size and cut-off…

High Energy Physics - Phenomenology · Physics 2011-04-04 Sz. Borsanyi , G. Endrodi , Z. Fodor , S. D. Katz , K. K. Szabo

The values of the presently available truncated perturbative expressions for the pressure of the quark-gluon plasma at finite temperatures and finite chemical potential are trustworthy only at very large energies. When used down to…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. Cvetic , R. Koegerler

The critical temperature for the attractive Hubbard model on a square lattice is determined from the analysis of two independent quantities, the helicity modulus, $\rho_s$, and the pairing correlation function, $P_s$. These quantities have…

Strongly Correlated Electrons · Physics 2009-11-10 Thereza Paiva , Raimundo R. dos Santos , R. T. Scalettar , P. J. H. Denteneer

We present a lattice determination of the $\Lambda$ parameter in three-flavor QCD and the strong coupling at the Z pole mass. Computing the nonperturbative running of the coupling in the range from $0.2\,$GeV to $70\,$GeV, and using…

High Energy Physics - Lattice · Physics 2017-09-13 M. Bruno , M. Dalla Brida , P. Fritzsch , T. Korzec , A. Ramos , S. Schaefer , H. Simma , S. Sint , R. Sommer

We consider a phenomenologycal parametrization of the QCD running coupling which arises from the dispersion relation respecting the holomorphic properties of the physical QCD observables in the complex momentum plane. The parameters are…

High Energy Physics - Phenomenology · Physics 2017-10-03 Cesar Ayala

Using lattice simulations, we show that there is a phase of thermal QCD, where the spectral density $\rho(\lambda)$ of Dirac operator changes as $1/\lambda$ for the infrared eigenvalues $\lambda<T$. This behavior persists over the entire…

High Energy Physics - Lattice · Physics 2019-11-27 Andrei Alexandru , Ivan Horváth

We compute the ratio $\Lambda_L/\Lambda_{\bar{MS}}$ between the scale parameter $\Lambda_L$, associated with a lattice formulation of QCD using the overlap-Dirac operator, and $\Lambda_{\bar{MS}}$ of the $\bar{\rm MS}$ renormalization…

High Energy Physics - Lattice · Physics 2009-10-31 C. Alexandrou , H. Panagopoulos , E. Vicari

The pressure and the energy density of the $SU(3)$ gauge theory are calculated on lattices with temporal extent $N_\tau = 4$, 6 and 8 and spatial extent $N_\sigma =16$ and 32. The results are then extrapolated to the continuum limit. In the…

High Energy Physics - Lattice · Physics 2009-10-28 G. Boyd , J. Engels , F. Karsch , E. Laermann , C. Legeland , M. Luetgemeier , B. Petersson

Based on universal arguments it is believed that there is a critical point (E) in QCD on the temperature (T) versus chemical potential (\mu) plane, which is of extreme importance for heavy-ion experiments. Using finite size scaling and a…

High Energy Physics - Lattice · Physics 2009-11-07 Z. Fodor , S. D. Katz

The chiral phase transition of the quark sector of QCD is investigated within the Hamiltonian approach in Coulomb gauge. Finite temperature T is introduced by compactifying one spatial dimension, which makes all thermodynamical quantities…

High Energy Physics - Lattice · Physics 2018-08-29 Markus Quandt , Ehsan Ebadati , Hugo Reinhardt , Peter Vastag

The superconducting transition temperatures of high-Tc compounds based on copper, iron, ruthenium and certain organic molecules are discovered to be dependent on bond lengths, ionic valences, and Coulomb coupling between electronic bands in…

Superconductivity · Physics 2012-07-03 Dale R. Harshman , Anthony T. Fiory

We show how the functional renormalization group can be applied to a study of chiral symmetry breaking in QCD. We discuss the running gauge coupling at finite temperature for QCD. For scales smaller than the corresponding temperature, the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jens Braun

QCD with 2 flavours of massless colour-sextet quarks is studied as a theory which might exhibit a range of scales over which the running coupling constant evolves very slowly (walks). We simulate lattice QCD with 2 flavours of sextet…

High Energy Physics - Lattice · Physics 2017-08-23 D. K. Sinclair , J. B. Kogut

QCD topological susceptibility at high temperature, $\chi_t(T)$, provides an important input for the estimate of the axion abundance in the present Universe. While the model independent determination of $\chi_t(T)$ should be possible from…

High Energy Physics - Lattice · Physics 2016-09-21 J. Frison , R. Kitano , H. Matsufuru , S. Mori , N. Yamada

Broken gauge symmetries are typically restored at high temperature, and the leading-order result for the critical temperature $T_c$ was found many years ago by Weinberg and by Dolan and Jackiw. I find a simple expression for the…

High Energy Physics - Phenomenology · Physics 2010-02-16 Peter Arnold