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In this proceedings article we present a selected set of our lattice results regarding the effect that background electromagnetic fields have on the topology of QCD. In particular, we report on the lattice spacing-dependence of the…

High Energy Physics - Lattice · Physics 2023-12-25 Bastian B. Brandt , Gergely Endrődi , José Javier Hernández Hernández , Gergely Markó , Laurin Pannullo

We derive a novel model-independent result for the pion susceptibility in QCD via the isovector-pseudoscalar vacuum polarisation. In the neighbourhood of the chiral-limit, the pion susceptibility can be expressed as a sum of two independent…

Nuclear Theory · Physics 2014-11-20 Lei Chang , Yu-Xin Liu , Craig D. Roberts , Yuan-Mei Shi , Wei-Min Sun , Hong-Shi Zong

We investigate the topological susceptibility of the QCD vacuum with two flavours of dynamical staggered fermions on the lattice both at zero and finite temperature. At zero temperature we study the dependence of the signal on the fermion…

High Energy Physics - Lattice · Physics 2015-06-25 B. Alles , M. D'Elia , A. Di Giacomo

A linear magnetic topological defect (cosmic string) is modeled as a magnetic flux-carrying tube that is impenetrable to external spinor matter. The matter field is quantized in the background of this tube, with the most general set of…

High Energy Physics - Theory · Physics 2025-12-09 Yu. I. Pylypchuk , P. O. Nakaznyi , O. V. Barabash , A. O. Zaporozhchenko , V. M. Gorkavenko

A disorder parameter is constructed which signals the condensation of vortices. The construction is tested by numerical simulations. Advances in the understanding of the basic properties of QCD vacuum will be reported. Three main subjects…

High Energy Physics - Lattice · Physics 2007-05-23 A. Di Giacomo

We study the formation of vacuum condensates in $2+1$ dimensional QED in the presence of inhomogeneous background magnetic fields. For a large class of magnetic fields, the condensate is shown to be proportional to the inhomogeneous…

High Energy Physics - Theory · Physics 2009-10-28 Gerald Dunne , Theodore Hall

Overlap fermions preserve a remnant of chiral symmetry on the lattice. They are a powerful tool to investigate the topological structure of the vacuum of Yang-Mills theory and full QCD. Recent results concerning the localization of…

High Energy Physics - Lattice · Physics 2011-04-01 E. -M. Ilgenfritz , K. Koller , Y. Koma , G. Schierholz , V. Weinberg

Magnetic susceptibility in the deconfined phase of QCD is calculated in a closed form using a recent general expression for the quark gas pressure in magnetic field. Quark selfenergies are entering the result via Polyakov line factors and…

High Energy Physics - Phenomenology · Physics 2014-05-13 V. D. Orlovsky , Yu. A. Simonov

We show how the topological susceptibility in the Minkowskian theory of QCD is related to the corresponding quantity in the Euclidean theory, which is measured on the lattice. We discuss both the zero-temperature case (T = 0) and the…

High Energy Physics - Theory · Physics 2009-10-31 Enrico Meggiolaro

The values of quark condensate and tensor susceptibility of QCD vacuum are calculated with different number of flavors. It is shown that, the values of tensor susceptibility are obviously dependent on the flavor numbers while the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hongting Yang

We investigate topology in lattice simulations of QCD with two flavours of dynamical Wilson fermions. At various sea quark masses we find reasonable agreement between results for the topological charge from fermionic and gluonic…

High Energy Physics - Lattice · Physics 2008-11-26 Gunnar S. Bali , Norbert Eicker , Thomas Lippert , Hartmut Neff , Boris Orth , Klaus Schilling , Thorsten Struckmann , Jochen Viehoff

Topology enters in quantum field theory (qft) in multiple forms: one of the most important, in non-abelian gauge theories, being in the identification of the $\theta$ vacuum in QCD. A very relevant aspect of this connection is through the…

High Energy Physics - Theory · Physics 2022-11-30 Claudio Corianò , Mario Cretì , Stefania D'Agostino

The low-energy QCD theorems are generalized in the presence of a constant magnetic field H. Two-loop approximation for the vacuum energy density in the framework of the chiral perturbation theory was obtained and the quark and gluon…

High Energy Physics - Phenomenology · Physics 2009-10-31 N. O. Agasian , I. A. Shushpanov

Using a recently developed three-point formalism within the method of QCD Sum Rules we determine the vacuum susceptibilities needed in the two-point formalism for the coupling of axial, vector, tensor and pseudoscalar currents to hadrons.…

High Energy Physics - Phenomenology · Physics 2009-10-31 Leonard S. Kisslinger

We study the QCD topology and axion properties at finite temperature and chemical potential in the framework of the two-flavor Nambu$-$Jona-Lasinio model. We find that the behaviors of the two lowest cumulants of the QCD topological charge…

High Energy Physics - Phenomenology · Physics 2024-11-27 Hong-Fang Gong , Qi Lu , Zhen-Yan Lu , Lu-Meng Liu , Xun Chen , Shu-Peng Wang

We consider the simulation of finite temperature QCD with two flavors of dynamical overlap fermions in order to study the suppression of the axial U(1) symmetry breaking at the chiral phase transition point. As a preliminary study, pure…

High Energy Physics - Lattice · Physics 2012-04-23 Guido Cossu , Sinya Aoki , Shoji Hashimoto , Takashi Kaneko , Hideo Matsufuru , Jun-ichi Noaki , Eigo Shintani

We investigate the magnetic susceptibility of the QCD vacuum, based on the instanton vacuum. Starting from the instanton liquid model for the instanton vacuum, we derive the light-quark partition function $Z[V,T,\hat{m}]$ in the presence of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hyun-Chul Kim , M. Musakhanov , M. Siddikov

The impact of dynamical fermions on the vacuum structure of QCD is explored. Of particular interest is the topological charge correlator, $<q(x) q(0) >$, where negative values at small $x$ reveal a sign-alternating layered structure to the…

High Energy Physics - Lattice · Physics 2008-11-26 Peter J. Moran , Derek B. Leinweber

We promote the usual QCD $\theta$-parameter to a field and interpret it as the phase of the quark condensate, which becomes nontrivial when topological defects, vortices in our formulation, are induced in the quark condensate by the QCD…

High Energy Physics - Phenomenology · Physics 2019-05-22 Chi Xiong

We determine the magnetic susceptibility of thermal QCD matter by means of first principles lattice simulations using staggered quarks with physical masses. A novel method is employed that only requires simulations at zero background field,…

High Energy Physics - Lattice · Physics 2020-07-29 Gunnar S. Bali , Gergely Endrődi , Stefano Piemonte