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We propose a QCD-like theory with the ZNc symmetry. The flavor-dependent twisted boundary condition (TBC) is imposed on Nc degenerate flavor quarksin the SU(Nc) gauge theory. The QCD-like theory is useful to understand the mechanism of…

High Energy Physics - Phenomenology · Physics 2012-04-13 Hiroaki Kouno , Yuji Sakai , Takahiro Makiyama , Kouhei Tokunaga , Takahiro Sasaki , Masanobu Yahiro

We study the dynamics of SU(2) gauge theory with NF=6 Dirac fermions by means of lattice simulation to investigate if they are appropriate to realization of electroweak symmetry breaking. The discrete analogue of beta function for the…

High Energy Physics - Lattice · Physics 2012-10-19 M. Hayakawa , K. -I. Ishikawa , Y. Osaki , S. Takeda , N. Yamada

We investigated the gauge (in)dependence of the confinement mechanism due to monopole condensation in SU(2) lattice QCD by various abelian projections. We found (1) the string tension can be reproduced by monopoles alone also in Polyakov…

High Energy Physics - Lattice · Physics 2009-10-28 Shinji Ejiri , Shun-ichi Kitahara , Yoshimi Matsubara , Tsuyoshi Okude , Tsuneo Suzuki , Koji Yasuta

We investigate three-colour QCD thermodynamics at finite quark chemical potential. Lattice QCD results are compared with a generalized Nambu Jona-Lasinio model in which quarks couple simultaneously to the chiral condensate and to a…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Ratti , M. A. Thaler , W. Weise

Quantum Chromodynamics exhibits a hadronic confined phase at low to moderate temperatures and, at a critical temperature $T_C$, undergoes a transition to a deconfined phase known as the quark-gluon plasma. The nature of this deconfinement…

High Energy Physics - Lattice · Physics 2014-06-13 Finn M. Stokes , Waseem Kamleh , Derek B. Leinweber

We investigate QCD with adjoint Dirac fermions on $\mathbb{R}^3\times S^1$ with generic boundary conditions for fermions along $S^1$. By means of perturbation theory, semiclassical methods and a chiral effective model, we elucidate a rich…

High Energy Physics - Phenomenology · Physics 2015-02-19 Tatsuhiro Misumi , Takuya Kanazawa

The dual superconductivity is a promising mechanism for quark confinement. We have presented a new formulation of the Yang-Mills theory on the lattice that enables us to change the original non-Abelian gauge field into the new field…

High Energy Physics - Lattice · Physics 2017-01-16 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

We present a renormalization procedure for Polyakov loops which explicitly implements the fact that the renormalization constant depends only on the ultraviolet cutoff. Using this we study the renormalized Polyakov loops in all…

High Energy Physics - Lattice · Physics 2008-11-26 Sourendu Gupta , Kay Hubner , Olaf Kaczmarek

An investigation of the center symmetric phase of SU(2) QCD is presented. The role of the center-symmetry, the dynamics of Polyakov loops and the structure of Abelian monopoles are studied within the axial gauge representation of QCD.…

High Energy Physics - Theory · Physics 2010-12-13 F. Lenz

The crossover from hadronic to quark matter is understood to be both a deconfinement as well as a chiral symmetry restoring transition. Here, we study observables related to both aspects using lattice simulations: the Polyakov loop and its…

High Energy Physics - Lattice · Physics 2024-05-22 Szabolcs Borsanyi , Zoltan Fodor , Jana N. Guenther , Ruben Kara , Paolo Parotto , Attila Pasztor , Ludovica Pirelli , Chik Him Wong

We study the properties of low-lying Dirac modes in quenched compact QED at $\beta$=0.99, 1.01 and 1.03, employing $12^3\times 12$ lattices and the overlap formalism for the fermion action. We pay special attention to the spatial…

High Energy Physics - Lattice · Physics 2008-11-26 Toru T. Takahashi

We report the nonperturbative behavior of the twisted Polyakov loop (TPL) coupling constant for the SU(3) gauge theories defined by the ratio of Polyakov loop correlators in finite volume with twisted boundary condition. We reveal the…

High Energy Physics - Lattice · Physics 2016-06-21 Etsuko Itou

It was recently observed in a lattice QCD measurement that the chiral condensate in the quenched approximation shows dramatically different behavior in the three $Z_3$-equivalent de-confined phases. We argue that this phenomenon can be…

High Energy Physics - Phenomenology · Physics 2009-10-28 Shailesh Chandrasekharan , Suzhou Huang

A phenomenological expression for the thermodynamic potential of gluons and quarks is constructed which incorporates the features of deconfinement and chiral symmetry restoration known from lattice simulations. The thermodynamic potential…

High Energy Physics - Lattice · Physics 2009-11-07 Peter N. Meisinger , Travis R. Miller , Michael C. Ogilvie

We study the implications of the spontaneous and explicit Z(3) center symmetry breaking for the Polyakov loop susceptibilities. To this end, ratios of the susceptibilities of the real and imaginary parts, as well as of the modulus of the…

High Energy Physics - Phenomenology · Physics 2018-06-13 Pok Man Lo , Michał Szymański , Krzysztof Redlich , Chihiro Sasaki

We study the interplay between Dirac eigenmodes and center vortices in SU(2) lattice gauge theory. In particular we focus on vortex-removed configurations and compare them to an ensemble of configurations with random changes of the link…

High Energy Physics - Lattice · Physics 2009-11-10 Jochen Gattnar , Christof Gattringer , Kurt Langfeld , Hugo Reinhardt , Andreas Schafer , Stefan Solbrig , T. Tok

The chirally symmetric overlap quark propagator is explored in Coulomb gauge for the first time. This gauge is especially well suited for studying the interrelation between confinement and chiral symmetry breaking, since confinement can be…

High Energy Physics - Lattice · Physics 2015-04-27 M. Pak , M. Schröck

Using lattice QCD, we reveal a fundamental connection between centre vortices and several key features associated with dynamical chiral symmetry breaking and quark confinement. Calculations are performed in pure SU(3) gauge theory using the…

High Energy Physics - Lattice · Physics 2021-04-08 Waseem Kamleh , Derek B. Leinweber , Amalie Trewartha

We calculate the chiral condensate of QCD with 2, 2+1 and 3 flavors of sea quarks. Lattice QCD simulations are performed employing dynamical overlap fermions with up and down quark masses covering a range between 3 and 100 MeV. On L ~…

High Energy Physics - Lattice · Physics 2015-03-17 H. Fukaya , S. Aoki , T. W. Chiu , S. Hashimoto , T. Kaneko , J. Noaki , T. Onogi , N. Yamada

Multiple lattice evidences support the existence of a confining but chirally symmetric regime of QCD above the chiral symmetry restoration crossover at Tch ~ 155 MeV. This regime is characterised by an approximate chiral spin symmetry of…

High Energy Physics - Phenomenology · Physics 2024-05-08 L. Ya. Glozman , A. V. Nefediev , R. Wagenbrunn