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The ratio of the sigma mass to the pion mass at finite temperatures and densities provides for a quantitative signal of chiral symmetry breaking. We calculate this ratio by using an extension to finite chemical potential of the field…

高能物理 - 唯象学 · 物理学 2009-10-31 A. Barducci , R. Casalbuoni , R. Gatto , G. Pettini

This thesis is dedicated to explore the feasibility of numerical calculations in the $\epsilon$--regime of QCD for the extraction of physical information. We apply two formulations of the Ginsparg-Wilson fermions the Neuberger operator and…

高能物理 - 格点 · 物理学 2007-05-23 S. Shcheredin

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 present a lattice QCD based determination of the chiral phase transition temperature in QCD with two degenerate, massless quarks and a physical strange quark mass. We propose and calculate two novel estimators for the chiral transition…

We analyze lattice data for octet baryon masses from the QCDSF collaboration employing manifestly covariant Baryon Chiral Perturbation Theory. It is shown that certain combinations of low-energy constants can be fixed more accurately than…

高能物理 - 唯象学 · 物理学 2013-03-27 P. C. Bruns , L. Greil , A. Schäfer

We study the thermal transition of QCD with two degenerate light flavours by lattice simulations using $\mathcal{O}(a)$-improved Wilson quarks. Particular emphasis lies on the pattern of chiral symmetry restoration, which we probe via the…

高能物理 - 格点 · 物理学 2019-04-05 Bastian B. Brandt , Marco Cè , Anthony Francis , Tim Harris , Harvey B. Meyer , Owe Philipsen , Hartmut Wittig

We provide first-principles non-perturbative determinations of the low-lying meson mass spectrum of large-$N$ QCD in the 't Hooft limit $N_{\scriptscriptstyle{\rm f}}/N\to 0$, as well as of three low-energy constants appearing in the QCD…

We consider chiral perturbation theory for SU(2) at finite temperature $T$ in a constant magnetic background $B$. We compute the thermal mass of the pions and the pion decay constant to leading order in chiral perturbation theory in the…

高能物理 - 唯象学 · 物理学 2015-06-05 Jens O. Andersen

In this talk, I address the comparison between results from lattice QCD computations and Chiral Perturbation Theory (ChPT). I briefly discuss how ChPT can be adapted to the much-used quenched approximation and what it tells us about the…

高能物理 - 唯象学 · 物理学 2009-10-30 Maarten Golterman

We calculate chiral susceptibilities in (2+1)-flavour QCD for different masses of the light quarks using the functional renormalisation group (fRG) approach to first-principles QCD. We follow the evolution of the chiral susceptibilities…

高能物理 - 唯象学 · 物理学 2020-09-16 Jens Braun , Wei-jie Fu , Jan M. Pawlowski , Fabian Rennecke , Daniel Rosenblüh , Shi Yin

The conventional view is that a solution of the strong CP problem lies beyond QCD. A strong argument supporting this view is that the chiral expansion shows that observables depend on theta (unless a quark mass is zero); this eliminates the…

高能物理 - 唯象学 · 物理学 2019-05-15 Thomas D. Cohen

We have been studying QCD with 2 flavours of colour-sextet quarks as a candidate walking-Technicolor theory using lattice-QCD simulations. The evolution of the coupling constant with lattice spacing is measured at the finite-temperature…

高能物理 - 格点 · 物理学 2014-07-23 J. B. Kogut , D. K. Sinclair

I present higher loop order results for several calculations in Chiral perturbation Theory. 1) Two-loop results at finite volume for hadronic vacuum polarization. 2) A three-loop calculation of the pion mass and decay constant in…

高能物理 - 格点 · 物理学 2018-04-18 Johan Bijnens

The properties of matter at finite baryon densities play an important role for the astrophysics of compact stars as well as for heavy ion collisions or the description of nuclear matter. Because of the sign problem of the quark determinant,…

高能物理 - 格点 · 物理学 2017-04-05 Owe Philipsen

Chiral symmetry is an essential concept in understanding QCD at low energy. We treat the chiral condensate, which measures the spontaneous breaking of chiral symmetry, as a free parameter to investigate the effect of partially restored…

高能物理 - 唯象学 · 物理学 2008-11-26 Youngman Kim , Hyun Kyu Lee

We formulate lattice theories in which chiral symmetry is realized nonlinearly on the fermion fields. In this framework the fermion mass term does not break chiral symmetry. This property allows us to use the Wilson term to remove the…

高能物理 - 格点 · 物理学 2014-11-17 S. Chandrasekharan , M. Pepe , F. D. Steffen , U. -J. Wiese

We study lattice QCD in the limit that the quark mass and chemical potential are simultaneously made large, resulting in a controllable density of quarks which do not move; this is similar in spirit to the quenched approximation for zero…

高能物理 - 格点 · 物理学 2007-05-23 T. Blum , J. E. Hetrick , D. Toussaint

The temperature dependence of the sum of the QCD up- and down-quark masses, $(m_u + m_d)$ and the pion decay constant, $f_\pi$, are determined from two thermal finite energy QCD sum rules for the pseudoscalar-current correlator. This…

高能物理 - 唯象学 · 物理学 2016-12-21 C. A. Dominguez , L. A. Hernandez

We determine the low-energy constants (LECs) $f_0$, $L_4^r$ and $L_5^r$ of SU(3) Chiral Perturbation Theory ($\chi$PT) from a lattice QCD calculation of the scalar form factors of the pion with fully controlled systematics. Lattice results…

高能物理 - 格点 · 物理学 2025-03-27 Georg von Hippel , Konstantin Ottnad

We show on the basis of an effective theory of QCD that a wide variety of observables in the hadron world is governed by the chiral symmetry together with an interplay between the axial anomaly and the explicit symmetry breaking due to the…

高能物理 - 唯象学 · 物理学 2016-11-03 Teiji Kunihiro