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We present recent results on thermodynamics of QCD with almost physical light quark masses and a physical strange quark mass value. These calculations have been performed with an improved staggerd action especially designed for finite…

High Energy Physics - Lattice · Physics 2008-11-26 Christian Schmidt

We investigate the phase of the quark determinant with finite chemical potential in lattice QCD using both analytic and numerical methods. Applying the winding number expansion and the hopping parameter expansion to the logarithm of the…

High Energy Physics - Lattice · Physics 2013-05-30 Shinji Takeda , Yoshinobu Kuramashi , Akira Ukawa

We utilize lattice simulations of the dimensionally reduced effective field theory (EQCD) to determine the quark number susceptibility of QCD at high temperature ($T>2T_c$). We also use analytic continuation to obtain results at finite…

High Energy Physics - Lattice · Physics 2008-11-26 Ari Hietanen , Kari Rummukainen

We derive a general effective action for quark matter at nonzero temperature and/or nonzero density. For this purpose, we distinguish irrelevant from relevant quark modes, as well as hard from soft gluon modes by introducing two separate…

Nuclear Theory · Physics 2014-11-18 Philipp T. Reuter , Qun Wang , Dirk H. Rischke

We present results of a first study of equation of state in finite-temperature QCD with two flavors of Wilson-type quarks. Simulations are made on lattices with temporal size $N_t=4$ and 6, using an RG-improved action for the gluon sector…

We present a construction of an effective Yang-Mills action for QCD, from the expansion of the fermionic determinant in terms of powers of the chemical potential at high temperature, for the case of massless quarks. We analyze this…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Villavicencio , E. S. Fraga

The equation of state of QCD at vanishing chemical potential as a function of temperature is determined for two sets of lattice spacings. Coarser lattices with temporal extension of N_t=4 and finer lattices of N_t=6 are used. Symanzik…

High Energy Physics - Lattice · Physics 2009-11-11 Y. Aoki , Z. Fodor , S. D. Katz , K. K. Szabo

We propose a method to probe the nature of phase transitions in lattice QCD at finite temperature and density, which is based on the investigation of an effective potential as a function of the average plaquette. We analyze data obtained in…

High Energy Physics - Lattice · Physics 2008-11-26 Shinji Ejiri

We review recent work by the ALPHA and UKQCD Collaborations where masses and matrix elements were computed in lattice QCD using Schr\"odinger functional boundary conditions and where the strange quark mass was determined in the quenched…

High Energy Physics - Lattice · Physics 2015-06-25 Joyce Garden , Marco Guagnelli , Jochen Heitger , Rainer Sommer , Hartmut Wittig

We present recent results in unquenched lattice QCD with two degenerate light sea quarks using the truncated determinant approximation (TDA). In the TDA the infrared modes contributing to the quark determinant are computed exactly up to…

High Energy Physics - Lattice · Physics 2009-11-07 A. Duncan , E. Eichten , J. Yoo

We consider continuum-formulation QCD in four dimensions with twelve massless fundamental quark flavors. Splitting the SU(\(N\)) gauge field into background and fluctuation parts, we use well-developed techniques to calculate the one-loop…

High Energy Physics - Theory · Physics 2025-03-05 Seth Grable , Paul Romatschke

The quark determinant in the presence of a background gluon field is calculated in a large quark mass approach within a derivative expansion by considering quark sources. The resulting low-energy QCD Effective Field Theory (EFT) is valid…

High Energy Physics - Phenomenology · Physics 2025-09-03 Igor de M. Froldi , Fabio L. Braghin

We describe the application of Dyson-Schwinger equations to the calculation of hadron observables. The studies at zero temperature (T) and quark chemical potential (mu) provide a springboard for the extension to finite-(T,mu). Our exemplars…

Nuclear Theory · Physics 2007-05-23 Pieter Maris , Craig D. Roberts

Chiral effective field theory complements numerical simulations of quantum chromodynamics (QCD) on a space-time lattice. It provides a model-independent formalism for connecting lattice simulation results at finite volume and a variety of…

High Energy Physics - Lattice · Physics 2015-03-13 J. M. M. Hall , R. D. Young , D. B. Leinweber

The free energy for QCD at high temperature $T$ is calculated to order $g^5$ using effective-field-theory methods to separate the contributions from the momentum scales $T$ and $gT$. The effects of the scale $T$ enter through the…

High Energy Physics - Phenomenology · Physics 2016-08-24 Eric Braaten , Agustin Nieto

These lecture notes illustrate the application of Dyson-Schwinger equations in QCD. The extensive body of work at zero temperature and chemical potential is represented by a selection of contemporary studies that focus on solving the…

Nuclear Theory · Physics 2010-03-04 Craig D. Roberts

I report on a study of finite temperature QCD by the CP-PACS Collaboration toward a precise determination of the equation of state with dynamical u,d quarks. Based on a systematic simulation using improved Wilson-type quarks on lattices…

High Energy Physics - Lattice · Physics 2008-11-26 Kazuyuki Kanaya , CP-PACS Collaboration

We derive and analyze the perturbation series for the classical effective action in quantum statistical mechanics, treated as a toy model for the dimensionally reduced effective action in quantum field theory at finite temperature. The…

High Energy Physics - Theory · Physics 2007-05-23 C. A. A. de Carvalho , R. M. Cavalcanti

We explore the phase space spanned by the temperature and the chemical potential for 4-flavor lattice QCD using the Wilson-clover quark action. In order to determine the order of the phase transition, we apply finite size scaling analyses…

High Energy Physics - Lattice · Physics 2013-11-27 Xiao-Yong Jin , Yoshinobu Kuramashi , Yoshifumi Nakamura , Shinji Takeda , Akira Ukawa

We propose a method to find the QCD critical point at finite density calculating the canonical partition function ${\cal Z}_{\rm C} (T,N)$ by Monte-Carlo simulations of lattice QCD, and analyze data obtained by a simulation with two-flavor…

High Energy Physics - Lattice · Physics 2009-11-18 Shinji Ejiri
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