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The application of Random Matrix Theory to the Dirac operator of QCD yields predictions for the probability distributions of the lowest eigenvalues. We measured Dirac operator spectra using massless overlap fermions in quenched QCD at…

High Energy Physics - Lattice · Physics 2009-11-10 S. Shcheredin , W. Bietenholz , T. Chiarappa , K. Jansen , K. -I. Nagai

We study the topological susceptibility, chi, in QCD with two quark flavours using the lattice field configurations recently produced by the UKQCD collaboration. We find clear evidence for the expected suppression at small quark mass, and…

High Energy Physics - Phenomenology · Physics 2007-05-23 UKQCD Collaboration , A. Hart , M. Teper

We present a study of the pseudoscalar propagator in the mixed chiral regime with valence quark masses in the \epsilon-regime and sea quark masses in the p-regime. We first show the NNLO prediction of this observable in the chiral…

High Energy Physics - Lattice · Physics 2014-04-02 Pilar Hernández , Silvia Necco , Carlos Pena , Grégory Vulvert

We compute the topological charge and its susceptibility in finite temperature (2+1)-flavor QCD on the lattice applying a gradient flow method. With the Iwasaki gauge action and nonperturbatively $O(a)$-improved Wilson quarks, we perform…

High Energy Physics - Lattice · Physics 2017-08-31 Yusuke Taniguchi , Kazuyuki Kanaya , Hiroshi Suzuki , Takashi Umeda

Topological invariance is a powerful concept in different branches of physics as they are particularly robust under perturbations. We generalize the ideas of computing the statistics of winding numbers for a specific parametric model of the…

Mathematical Physics · Physics 2023-02-13 Nico Hahn , Mario Kieburg , Omri Gat , Thomas Guhr

The chiral susceptibility is given by the scalar vacuum polarisation at zero total momentum. This follows directly from the expression for the vacuum quark condensate so long as a nonperturbative symmetry preserving truncation scheme is…

Nuclear Theory · Physics 2010-04-22 Lei Chang , Yu-xin Liu , Craig D. Roberts , Yuan-mei Shi , Wei-min Sun , Hong-shi Zong

I discuss the quark mass dependence of various baryon properties derived from chiral perturbation theory. Such representations can eventually be used as chiral extrapolation functions when lattice data at sufficiently small quark masses…

High Energy Physics - Lattice · Physics 2014-11-17 Ulf-G. Meißner

We investigate the spectral properties of a random matrix model, which in the large $N$ limit, embodies the essentials of the QCD partition function at low energy. The exact spectral density and its pair correlation function are derived for…

High Energy Physics - Theory · Physics 2011-04-20 Jacobus Verbaarschot

We study the topological susceptibility in 2+1 flavor QCD above the chiral crossover transition temperature using Highly Improved Staggered Quark action and several lattice spacings, corresponding to temporal extent of the lattice,…

High Energy Physics - Lattice · Physics 2016-11-29 Peter Petreczky , Hans-Peter Schadler , Sayantan Sharma

In quantum field theories with topological sectors, a non-perturbative quantity of interest is the topological susceptibility chi_t. In principle it seems straightforward to measure chi_t by means of Monte Carlo simulations. However, for…

High Energy Physics - Lattice · Physics 2016-01-27 Wolfgang Bietenholz , Philippe de Forcrand , Urs Gerber

We compute $t_0$, $w_0$ and the topological susceptibility, defined at finite gradient flow time for two-flavour QCD. The use of three lattice spacings and pion masses between 192 and 500 MeV together with a careful error analysis allow to…

High Energy Physics - Lattice · Physics 2014-04-18 Mattia Bruno , Rainer Sommer

The chiral phase dependence of fermion partition function in spherically symmetric U(1) gauge field background is analyzed in two dimensional space-time. A well-defined method to calculated the path integral which apply to the continuous…

High Energy Physics - Theory · Physics 2007-05-23 Hisashi Kikuchi

We utilize the eigenvalue filtering technique combined with the stochastic estimate of the mode number to determine the eigenvalue spectrum. Simulations of (2 + 1)-flavor QCD are performed using the Highly Improved Staggered Quarks…

High Energy Physics - Lattice · Physics 2020-01-16 Heng-Tong Ding , Olaf Kaczmarek , Frithjof Karsch , Sheng-Tai Li , Swagato Mukherjee , Akio Tomiya , Yu Zhang

We study the chiral condensate $<\bar{\psi} \psi>$ for an SU(3) gauge theory with $N_f$ massless Dirac fermions in the fundamental representation when $N_f$ is increased from 2 to 6. For $N_f=2$, our lattice simulations of $<\bar{\psi} \psi…

In a recent paper [hep-lat/0701012] we presented precise lattice QCD results of our European Twisted Mass Collaboration (ETMC). They were obtained by employing two mass-degenerate flavours of twisted mass fermions at maximal twist. In the…

The zero momentum sectors in effective theories of QCD coupled to pseudoreal (two colors) and real (adjoint) quarks have alternative descriptions in terms of chiral orthogonal and symplectic ensembles of random matrices. Using this…

High Energy Physics - Theory · Physics 2009-10-31 T. Nagao , S. M. Nishigaki

The temperature ($T$) dependence of the axion mass is predicted for $T$'s up to $\sim 2.3 \times$ the chiral restoration temperature of QCD. The axion is related to the $U_A(1)$ anomaly. The squared axion mass $m_a(T)^2$ is, modulo the…

High Energy Physics - Phenomenology · Physics 2019-10-30 Davor Horvatić , Dalibor Kekez , Dubravko Klabučar

In this work we probe the QCD Anderson transition by studying spectral distributions of the massless overlap operator on gauge configurations created by the twisted mass at finite temperature collaboration (tmfT) with 2+1+1 flavors of…

High Energy Physics - Lattice · Physics 2024-04-30 Robin Kehr , Dominik Smith , Lorenz von Smekal

We use both old and new theoretical developments in QCD dispersion relation constraints on the scalar form factor in the decay K --> \pi l \nu_l to obtain constraints on the strange quark mass. The perturbative QCD side of the calculation…

High Energy Physics - Phenomenology · Physics 2014-11-17 Richard F. Lebed , Karl Schilcher

Based on the proper-time renormalization group approach, the scalar and the quark number susceptibilities in the vicinity of possible critical end points of the hadronic phase diagram are investigated in the two-flavor quark-meson model.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Bernd-Jochen Schaefer , Jochen Wambach
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