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Theoretical understanding of experimental results from relativistic heavy-ion collisions requires a microscopic approach to the behavior of QCD n-point functions at finite temperatures, as given by the hierarchy of Dyson-Schwinger…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Blaschke , D. Horvatic , D. Klabucar , A. E. Radzhabov

Thermodynamic properties of the QCD nonperturbative vacuum with two light quarks are studied. It is shown that at low temperatures T<M_\pi relativistic massive pions can be treated within the dilute gas approximation. Analytic temperature…

High Energy Physics - Phenomenology · Physics 2014-11-17 N. O. Agasian

As a precursor to work on QCD, we study the dressed electron in QED nonperturbatively. The calculational scheme uses an invariant mass cutoff, discretized light-cone quantization, a Tamm--Dancoff truncation of the Fock space, and a small…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. R. Hiller , S. J. Brodsky

Non-perturbative studies of the thermodynamics of strongly interacting elementary particles within the context of lattice regularized QCD are being reviewed. After a short introduction into thermal QCD on the lattice we report on the…

High Energy Physics - Lattice · Physics 2007-05-23 F. Karsch , E. Laermann

We present preliminary results for meson spectral functions at nonzero momentum, obtained from quenched lattice QCD simulations at finite temperature using the Maximal Entropy Method. Twisted boundary conditions are used to have access to…

High Energy Physics - Lattice · Physics 2008-11-26 Gert Aarts , Chris Allton , Justin Foley , Simon Hands , Seyong Kim

The idea of the functional renormalization group and one-loop improved renormalization group flows are reviewed. The associated flow equations and nonperturbative approximations schemes for its solutions are discussed. These techniques are…

High Energy Physics - Phenomenology · Physics 2008-12-18 Bernd-Jochen Schaefer , Jochen Wambach

We determine the equation of state of 2+1-flavor QCD with physical quark masses, in the presence of a constant (electro)magnetic background field on the lattice. To determine the free energy at nonzero magnetic fields we develop a new…

High Energy Physics - Lattice · Physics 2015-06-19 G. S. Bali , F. Bruckmann , G. Endrodi , S. D. Katz , A. Schafer

We present the non-perturbative computation of the entropy density in QCD for temperatures ranging from 3 GeV up to the electro-weak scale, using $N_f=3$ flavours of massless O$(a)$-improved Wilson fermions. We adopt a new strategy designed…

High Energy Physics - Lattice · Physics 2025-02-07 Matteo Bresciani , Mattia Dalla Brida , Leonardo Giusti , Michele Pepe

We examine the renormalisation of flavour-diagonal vector currents in lattice QCD with the aim of understanding and quantifying the systematic errors from nonperturbative artefacts associated with the use of intermediate…

High Energy Physics - Lattice · Physics 2019-12-25 D. Hatton , C. T. H. Davies , G. P. Lepage , A. T. Lytle

Renormalization constants ($Z$-factors) of vector and axial-vector currents are determined non-perturbatively in quenched QCD for a renormalization group improved gauge action and a tadpole improved clover quark action using the…

We work out the method for evaluating the QCD coupling constant at finite temperature ($T$) by making use of the finite $T$ renormalization group equation up to the one-loop order on the basis of the background field method with the…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Chaichian , M. Hayashi

The QCD Equation of State with $N_f=3$ massless quark flavours is determined non-perturbatively over a broad range of temperatures, extending from the electroweak scale down to 3 GeV, and smoothly connecting to the low-temperature regime.…

High Energy Physics - Lattice · Physics 2026-03-11 Michele Pepe

The past few years have seen many interesting theoretical developments in lattice QCD. This talk (which is intended for non-experts) focuses on the problem of non-perturbative renormalization and the question of how precisely the continuum…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Lüscher

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 calculate the second order corrections to vacuum polarization tensor of photons at low temperatures, i.e; T $\le 10^{10}$ K ($T << m_e$). The thermal contributions to the QED coupling constant are evaluated at temperatures below the…

High Energy Physics - Phenomenology · Physics 2009-09-29 Samina S. Masood , Mahnaz Q. Haseeb

We formulate and numerically test the Schr\"odinger functional scheme for domain-wall QCD. We then apply it to a non-perturbative calculation of the renormalization factors for vector and axial-vector currents in quenched domain-wall QCD…

We report the current status of our systematic studies of the QCD thermodynamics by lattice QCD simulations with two flavors of improved Wilson quarks. We evaluate the critical temperature of two flavor QCD in the chiral limit at zero…

High Energy Physics - Lattice · Physics 2008-11-26 Y. Maezawa , S. Aoki , S. Ejiri , T. Hatsuda , N. Ishii , K. Kanaya , N. Ukita

We expand upon on an earlier renormalization group analysis of a non-Fermi liquid fixed point that plausibly govers the two dimensional electron liquid in a magnetic field near filling fraction $\nu=1/2$. We give a more complete description…

Condensed Matter · Physics 2009-10-22 Chetan Nayak , Frank Wilczek

We present the first numerical implementation of a non-perturbative renormalization method for lattice operators, based on the study of correlation functions in coordinate space at short Euclidean distance. The method is applied to compute…

High Energy Physics - Lattice · Physics 2009-11-10 V. Gimenez , L. Giusti , S. Guerriero , V. Lubicz , G. Martinelli , S. Petrarca , J. Reyes , B. Taglienti , E. Trevigne

We report on a non-perturbative evaluation of the renormalization factors for the vector and axial-vector currents, $Z_V$ and $Z_A$, in the quenched domain-wall QCD (DWQCD) with plaquette and renormalization group improved gauge actions. We…

High Energy Physics - Lattice · Physics 2012-08-27 PACS Collaboration , S. Aoki , M. Fukugita , N. Ishizuka , Y. Iwasaki , K. Kanaya , T. Kaneko , Y. Kuramashi , M. Okawa , Y. Taniguchi , A. Ukawa , T. Yoshie
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