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We extend the spectral projectors method to staggered fermions. Applying the index theorem to the staggered Dirac operator it is possible to work out an expression for the topological susceptibility which depends only on the orthogonal…

High Energy Physics - Lattice · Physics 2019-12-25 Claudio Bonanno , Giuseppe Clemente , Massimo D'Elia , Francesco Sanfilippo

We report first calculations of the topological susceptibility measured using the field theoretic method on SU(3) gauge configurations produced by the UKQCD collaboration with two flavours of dynamical, improved, Wilson fermions. Using…

High Energy Physics - Lattice · Physics 2015-06-25 A. Hart , M. Teper

We determine the topological susceptibility \chi_t in the topologically-trivial sector generated by lattice simulations of N_f = 2+1 QCD with overlap Dirac fermion, on a 16^3 x 48 lattice with lattice spacing ~ 0.11 fm, for five sea quark…

High Energy Physics - Lattice · Physics 2010-01-21 T. W. Chiu , S. Aoki , S. Hashimoto , T. H. Hsieh , T. Kaneko , H. Matsufuru , J. Noaki , T. Onogi , N. Yamada

The QCD topological observables are essential inputs to obtain theoretical predictions about axion phenomenology, which are of utmost importance for current and future experimental searches for this particle. Among them, we focus on the…

The chiral symmetry at finite lattice spacing of Ginsparg-Wilson fermionic actions constrains the renormalization of the lattice operators; in particular, the topological susceptibility does not require any renormalization, when using a…

High Energy Physics - Lattice · Physics 2009-11-10 Luigi Del Debbio , Claudio Pica

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 discuss properties of thermal Quantum Chromodynamics obtained by means of lattice simulations with overlap fermions. This fermion discretisation preserves chiral symmetry at finite lattice spacing. We present details of the formulation…

High Energy Physics - Lattice · Physics 2025-10-30 Z. Fodor , A. Yu. Kotov , T. G. Kovacs , K. K. Szabo

We present preliminary lattice results for the topological susceptibility in high-$T$ $N_f=2+1$ QCD obtained discretizing this observable via spectral projectors on eigenmodes of the staggered operator, and we compare them with those…

Recent lattice data from CP-PACS, UKQCD, SESAM/TXL and the Pisa group regarding the quark mass dependence of the topological susceptibility in 2-flavour QCD are compared to each other and to theoretical expectations. The latter get…

High Energy Physics - Lattice · Physics 2009-11-07 Stephan Dürr

One of the historical suggestions to tackle the strong CP problem is to take the up quark mass to zero while keeping $m_d$ finite. The $\theta$ angle is then supposed to become irrelevant, i.e. the topological susceptibility vanishes.…

High Energy Physics - Lattice · Physics 2018-04-18 Julien Frison , Ryuichiro Kitano , Norikazu Yamada

We show that, if the formula for the topological charge density operator suggested by fermions obeying the Ginsparg-Wilson relation is employed, it is possible to give a precise and unambiguous definition of the topological susceptibility…

High Energy Physics - Lattice · Physics 2009-11-10 L. Giusti , G. C. Rossi , M. Testa

The topological susceptibility is one of the few physical quantities that directly measure the properties of the QCD vacuum. Chiral perturbation theory predicts that in the small quark mass limit the topological susceptibility depends…

High Energy Physics - Lattice · Physics 2009-11-07 Anna Hasenfratz

We present the first determination of the topological susceptibility from lattice QCD in the presence of strong background magnetic fields. Our simulations employ 2+1 flavours of stout improved staggered quarks with physical masses and…

High Energy Physics - Lattice · Physics 2025-01-22 B. B. Brandt , G. Endrődi , J. J. Hernández Hernández , G. Markó

In this work we compute the axion mass and, from this (exploiting a well-known relation), we also derive an expression for the QCD topological susceptibility in the finite-temperature case, both below and above the chiral phase transition…

High Energy Physics - Phenomenology · Physics 2020-08-04 Salvatore Bottaro , Enrico Meggiolaro

We compute the chiral condensate of $2+1$ QCD from the mode number of the staggered Dirac operator, performing controlled extrapolations to both the continuum and the chiral limit. We consider also alternative strategies, based on the quark…

High Energy Physics - Lattice · Physics 2023-10-18 Claudio Bonanno , Francesco D'Angelo , Massimo D'Elia

We theoretically study the spin susceptibility of Dirac semimetals using the linear response theory. The spin susceptibility is decomposed into an intraband contribution and an interband contribution. We obtain analytical expressions for…

Mesoscale and Nanoscale Physics · Physics 2018-06-22 Yuya Ominato , Kentaro Nomura

We improve the precision of the topological susceptibility of QCD, and therefore of the QCD axion mass, by including $O(\alpha_{\rm em})$ and NNLO corrections in the chiral expansion, which amount to 0.65(21)% and -0.71(29)% respectively.…

High Energy Physics - Phenomenology · Physics 2025-12-09 Marco Gorghetto , Giovanni Villadoro

We determine the topological susceptibility of the gauge configurations generated by lattice simulations using two flavors of optimal domain-wall fermion on the $ 16^3 \times 32 $ lattice with length 16 in the fifth dimension, at the…

High Energy Physics - Lattice · Physics 2015-03-19 Ting-Wai Chiu , Tung-Han Hsieh , Yao-Yuan Mao

We measure the topological charge and its fluctuation for the gauge configurations generated by the RBC and UKQCD Collaborations using 2+1 flavors of domain-wall fermions on the 16^3 x 32 lattice (L \simeq 2 fm) with length 16 in the fifth…

High Energy Physics - Lattice · Physics 2019-08-13 Ting-Wai Chiu , Tung-Han Hsieh , Po-Kai Tseng

The topological susceptibility is an important quantity in QCD, which can be computed using lattice methods. However, at a fine lattice spacing, or when using high quality chirally symmetric quarks, algorithms which proceed in small update…

High Energy Physics - Lattice · Physics 2016-05-30 Arthur Dromard , Wolfgang Bietenholz , Krzysztof Cichy , Marc Wagner