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We present a pseudoclassical mechanics model which exhibits gauge symmetry and time-reparametrization invariance. As such, first- and second-class constraints restrict the phase space, and the Hamiltonian weakly vanishes. We show that the…

High Energy Physics - Theory · Physics 2023-04-07 Mauricio Valenzuela

Gluon field configurations with non-trivial topology like instantons, magnetic monopoles and center vortices play a crucial role in QCD and, in particular, for the spontaneous breaking of chiral symmetry. Moreover, center vortices are…

High Energy Physics - Lattice · Physics 2007-05-23 Stefan Solbrig , Jochen Gattnar , Christof Gattringer , Kurt Langfeld , Hugo Reinhardt , Andreas Schäfer , Torsten Tok

We investigate the QCD phase diagram based on the strong coupling expansion of the lattice QCD with one species of the staggered fermions at finite temperature (T) and chemical potential (mu). We analytically derive an effective potential…

High Energy Physics - Lattice · Physics 2011-09-29 Kohtaroh Miura , Takashi Z. Nakano , Akira Ohnishi , Noboru Kawamoto

We discuss the proximate phases of a three-dimensional system with Dirac-like dispersion. Using the cubic lattice with plaquette $\pi$-flux as a model, we find, among others phases, a chiral topological insulator and singlet topological…

Materials Science · Physics 2010-03-11 Pavan Hosur , Shinsei Ryu , Ashvin Vishwanath

The coupling between fermionic matter and gauge fields plays a fundamental role in our understanding of nature, while at the same time posing a challenging problem for theoretical modeling. In this situation, controlled information can be…

Strongly Correlated Electrons · Physics 2020-06-05 Lukas Janssen , Wei Wang , Michael M. Scherer , Zi Yang Meng , Xiao Yan Xu

Dirac spectrum representations of the Polyakov loop fluctuations are derived on the temporally odd-number lattice, where the temporal length is odd with the periodic boundary condition. We investigate the Polyakov loop fluctuations based on…

High Energy Physics - Lattice · Physics 2015-11-17 Takahiro M. Doi , Krzysztof Redlich , Chihiro Sasaki , Hideo Suganuma

We report preliminary results on the chiral and deconfinement aspects of the QCD transition at finite temperature using the Highly Improved Staggered Quark (HISQ) action on lattices with temporal extent of N_{\tau}=6 and 8. The chiral…

High Energy Physics - Lattice · Physics 2015-05-20 A. Bazavov , P. Petreczky

QCD with 2 flavours of massless colour-sextet quarks is studied as a theory which might exhibit a range of scales over which the running coupling constant evolves very slowly (walks). We simulate lattice QCD with 2 flavours of sextet…

High Energy Physics - Lattice · Physics 2017-08-23 D. K. Sinclair , J. B. Kogut

We study the axial U(1) symmetry at finite temperature in two-flavor lattice QCD. Employing the Mobius domain-wall fermions, we generate gauge configurations slightly above the critical temperature Tc with different lattice sizes L = 2-4…

High Energy Physics - Lattice · Physics 2017-10-30 A. Tomiya , G. Cossu , S. Aoki , H. Fukaya , S. Hashimoto , T. Kaneko , J. Noaki

We study the global symmetries of naive lattices Dirac operators in QCD-like theories in any dimension larger than two. In particular we investigate how the chosen number of lattice sites in each direction affects the global symmetries of…

High Energy Physics - Lattice · Physics 2017-08-09 Mario Kieburg , Tim R. Würfel

The confinement-deconfinement transition is discussed from topological viewpoints. The topological change of the system is achieved by introducing the dimensionless imaginary chemical potential ($\theta$). Then, the non-trivial free-energy…

High Energy Physics - Phenomenology · Physics 2017-08-17 Kouji Kashiwa , Akira Ohnishi

It was established that distribution of the near-zero modes of the Dirac operator is consistent with the Chiral Random Matrix Theory (CRMT) and can be considered as a consequence of spontaneous breaking of chiral symmetry (SBCS) in QCD. The…

High Energy Physics - Lattice · Physics 2018-04-18 M. Catillo , L. Ya. Glozman

We study the QCD phase diagram, in particular we study the critical points of the two main QCD phase transitions, confinement and chiral symmetry breaking. Confinement drives chiral symmetry breaking, and, due to the finite quark mass, at…

High Energy Physics - Phenomenology · Physics 2010-04-20 Pedro Bicudo

We investigate the influence of spin polarization in strongly interacting matter by introducing a finite spin potential, $\mu_\Sigma$, which effectively controls the spin density of the system without requiring rotation or specific boundary…

High Energy Physics - Phenomenology · Physics 2025-09-17 Ricardo L. S. Farias , William R. Tavares

We discuss the confining and chiral-symmetry breaking properties of QCD with a large number of flavors $N_f$. In a Monte Carlo simulation of QCD with $N_f =16$ staggered fermions, we find clear evidence of a first order bulk phase…

High Energy Physics - Lattice · Physics 2009-10-30 P. H. Damgaard , U. M. Heller , A. Krasnitz , P. Olesen

In-medium chiral symmetry breaking in confining potential models of QCD is examined. Past attempts to analyse these models have been hampered by infrared divergences that appear at non-zero temperature. We argue that previous attempts to…

High Energy Physics - Phenomenology · Physics 2010-04-06 Pok Man Lo , Eric S. Swanson

We study the chiral phase transition with staggered fermions on the lattice at finite temperature in the strong coupling limit. The thermodynamic potential is derived in the large $d$ approximation where $d+1$ is the dimension of space…

High Energy Physics - Lattice · Physics 2007-05-23 Dong Chen

The quantum phase diagram and critical behavior of two-dimensional Dirac fermions coupled to two compatible order-parameter fields with $O(N_1)\oplus O(N_2)$ symmetry is investigated. Recent numerical studies of such systems have reported…

Strongly Correlated Electrons · Physics 2020-04-15 Emilio Torres , Lukas Weber , Lukas Janssen , Stefan Wessel , Michael M. Scherer

We perform a model study of deconfinement and chiral symmetry restoration in a strong magnetic background. We use a Nambu-Jona Lasinio model with the Polyakov loop, taking into account a possible dependence of the coupling on the Polyakov…

High Energy Physics - Phenomenology · Physics 2015-03-17 Raoul Gatto , Marco Ruggieri

We analyze the localization properties for eigenvectors of the Dirac operator in quenched lattice QCD in the vicinity of the deconfinement phase transition. Studying the characteristic differences between the Z_3 sectors above the critical…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , P. E. L. Rakow , A. Schäfer , W. Söldner , T. Wettig