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We present a detailed account of the theoretical progress and the computational strategy that led to the non-perturbative determination of the QCD Equation of State at temperatures up to the electroweak scale reported in [Phys. Rev. Lett.…

High Energy Physics - Lattice · Physics 2026-02-20 Matteo Bresciani , Mattia Dalla Brida , Leonardo Giusti , Michele Pepe

We study the nuclear modification of the scalar QCD susceptibility, calculated as the derivative of the quark condensate with respect to the quark mass. We show that it has two origins. One is the low lying nuclear excitations. At normal…

Nuclear Theory · Physics 2008-11-26 G. Chanfray , M. Ericson , P. A. M. Guichon

We determine the topological susceptibility $ \chi_t $ in the trivial topological sector generated by lattice simulations of two-flavor QCD with overlap Dirac fermion, on a $16^3 \times 32$ lattice with lattice spacing $\sim$ 0.12 fm, at…

High Energy Physics - Lattice · Physics 2011-02-16 T. W. Chiu , S. Aoki , H. Fukaya , S. Hashimoto , T. H. Hsieh , T. Kaneko , H. Matsufuru , J. Noaki , K. Ogawa , T. Onogi , N. Yamada

We derive the formal Ward identities relating pseudoscalar susceptibilities and quark condensates in three-flavor QCD, including consistently the $\eta$-$\eta'$ sector and the $U_A(1)$ anomaly. These identities are verified in the…

High Energy Physics - Phenomenology · Physics 2017-10-24 A. Gomez Nicola , J. Ruiz de Elvira

We determine the topological susceptibility $\chi_t$ in two-flavor QCD using the lattice simulations at a fixed topological sector. The topological charge density is unambiguously defined on the lattice using the overlap-Dirac operator…

High Energy Physics - Lattice · Physics 2008-11-26 S. Aoki , T. W. Chiu , H. Fukaya , S. Hashimoto , T. H. Hsieh , T. Kaneko , H. Matsufuru , J. Noaki , K. Ogawa , T. Onogi , N. Yamada

We argue that the $t \bar t$ production asymmetry observed at the tevatron might be simply explained if the standard $SU(3)_c$ QCD theory is extended to $SU(N_c)$ which is spontaneously broken at a scale just above the weak scale. The…

High Energy Physics - Phenomenology · Physics 2013-02-14 R. Foot

We use three dimensional reduced effective field theory (EQCD) and lattice calculations to determine the quark number susceptibility of QCD at high temperature. We find our results to agree well with known perturbative expansion as well as…

High Energy Physics - Lattice · Physics 2008-11-26 A. Hietanen , K. Rummukainen

We discuss the phase structure and the equation of state for QCD at non-zero temperature and density. Derivatives of $\ln Z$ with respect to quark chemical potential $\mu_q$ up to fourth order are calculated for 2-flavor QCD, enabling…

High Energy Physics - Lattice · Physics 2008-11-26 Shinji Ejiri , Chris R. Allton , Simon J. Hands , Olaf Kaczmarek , Frithjof Karsch , Edwin Laermann , Christian Schmidt

It is shown that three series of diagrams entering the calculation of some hot $QCD$ process, are mass (or collinear) singularity free, indeed. This generalizes a result which was recently established up to the third non trivial order of…

High Energy Physics - Theory · Physics 2015-06-26 Thierry Grandou

Advances in high-precision dielectric spectroscopy has enabled access to non-linear susceptibilities of polar molecular liquids. The observed non-monotonic behavior has been claimed to provide strong support for theories of dynamic arrest…

Soft Condensed Matter · Physics 2021-07-07 Thomas Speck

Magnetic susceptibility of the quark matter in QCD is calculated in a closed form for an arbitrary chemical potential \mu. For small \mu, \mu<<T, eB << T^2, a strong dependence on temperature T is found due to Polyakov line factors. In the…

High Energy Physics - Phenomenology · Physics 2015-05-20 V. D. Orlovsky , Yu. A. Simonov

We have been studying QCD with 2 flavours of colour-sextet quarks to distinguish whether it is QCD-like or conformal. For comparison we are now studying QCD with 3 flavours of colour-sextet quarks, which is believed to be conformal in the…

High Energy Physics - Lattice · Physics 2013-05-30 J. B. Kogut , D. K. Sinclair

We study QCD thermodynamics in presence of two independent imaginary chemical potentials coupled to two degenerate flavors of staggered quarks. Analytic continuation is used to determine non-linear susceptibilities, to test the Hadron…

High Energy Physics - Lattice · Physics 2010-04-15 Massimo D'Elia , Francesco Sanfilippo

The quark number susceptibility near the QCD critical end-point (CEP), the tricritical point (TCP) and the O(4) critical line at finite temperature and quark chemical potential is investigated. Based on the universality argument and…

High Energy Physics - Phenomenology · Physics 2009-11-07 Yoshitaka Hatta , Takashi Ikeda

The finite temperature QCD phase transition is studied on the lattice with degenerate two flavors of Wilson quarks. Motivated by reported strange behaviors with the standard action on lattices with the temporal extention $N_t=4$ and 6, a…

High Energy Physics - Lattice · Physics 2008-11-26 K. Kanaya

By taking advantage of a stability criterion established recently, the critical temperature $T_c$ is reckoned with help of the microscopic parameters, characterising the normal and superconducting electrons, namely the independent-electron…

General Physics · Physics 2021-08-11 Jacob Szeftel , Nicolas Sandeau , Michel Abou Ghantous , Muhammad El-Saba

The topological susceptibility is computed in the SU(3) gauge theory at temperatures $T$ above the critical temperature $T_{\rm c}$ using master-field simulations of very large lattices, where the infamous topology-freezing issue is…

High Energy Physics - Lattice · Physics 2019-11-26 Leonardo Giusti , Martin Lüscher

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

We study the topological susceptibility and the fourth cumulant of the QCD vacuum in the presence of a uniform, background magnetic field in two-and-three flavor QCD finding novel, model-independent sum rules relating the shift in the…

High Energy Physics - Phenomenology · Physics 2021-12-15 Prabal Adhikari

We extend the previously obtained results for the thermodynamic potential of hot QCD in the limit of large number of fermions to non-vanishing chemical potential. We give exact results for the thermal pressure in the entire range of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Andreas Ipp , Anton Rebhan
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