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Related papers: Chiral Transition via Strong Coupling Expansion

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We study lattice QCD with four flavors of staggered quarks. In the limit of infinite gauge coupling, "dual" variables can be introduced, which render the finite-density sign problem mild and allow a full determination of the $\mu-T$ phase…

High Energy Physics - Lattice · Physics 2014-10-15 Philippe de Forcrand , Jens Langelage , Owe Philipsen , Wolfgang Unger

Lattice QCD with staggered fermions at strong coupling has long been studied in a dual representation to circumvent the finite baryon density sign problem. Monte Carlo simulations at finite temperature and density require anisotropic…

High Energy Physics - Lattice · Physics 2018-11-09 Dennis Bollweg , Marc Klegrewe , Wolfgang Unger

We investigate the axial U(1) anomaly of two-flavor QCD at temperatures 190--330 MeV. In order to preserve precise chiral symmetry on the lattice, we employ the Mobius domain-wall fermion action as well as overlap fermion action implemented…

High Energy Physics - Lattice · Physics 2021-04-28 S. Aoki , Y. Aoki , G. Cossu , H. Fukaya , S. Hashimoto , T. Kaneko , C. Rohrhofer , K. Suzuki

We study the continuous phase transition and thermodynamic observables in the three-dimensional Euclidean $SU(2)$ principal chiral field model with the triad tensor renormalization group (tTRG) and the anisotropic tensor renormalization…

High Energy Physics - Lattice · Physics 2024-09-04 Shinichiro Akiyama , Raghav G. Jha , Judah Unmuth-Yockey

We examine the axial U(1) symmetry near and above the finite temperature phase transition in two-flavor QCD using lattice QCD simulations. Although the axial U(1) symmetry is always violated by quantization, (i.e.) the chiral anomaly, the…

High Energy Physics - Lattice · Physics 2013-08-09 Guido Cossu , Sinya Aoki , Hidenori Fukaya , Shoji Hashimoto , Takashi Kaneko , Hideo Matsufuru , Jun-Ichi Noaki

I review some recent lattice results on studying chiral and deconfinement transition in QCD at finite temperature and density, as well as properties of strongly interacting matter at high temperatures. I discuss lattice results on the…

High Energy Physics - Lattice · Physics 2013-01-29 P. Petreczky

QCD with 2 flavours of massless colour-sextet quarks is studied as a possible walking-Technicolor candidate. We simulate the lattice version of this model at finite temperatures near to the chiral-symmetry restoration transition, to…

High Energy Physics - Lattice · Physics 2015-09-30 J. B. Kogut , D. K. Sinclair

Adopting the cooling technique to smooth the discontinuous Z(2) lattice gauge field, we found that on SU(2) gauge configurations obtained by this smoothing there exists clear discontinuity of the topological property at almost the same…

High Energy Physics - Lattice · Physics 2008-11-26 Shinji Hioki

We continue our lattice simulations of QCD with 2 flavours of colour-sextet quarks as a model for conformal or walking technicolor. A 2-loop perturbative calculation of the $\beta$-function which describes the evolution of this theory's…

High Energy Physics - Lattice · Physics 2013-05-29 J. B. Kogut , D. K. Sinclair

Anisotropic lattice spacings are mandatory to reach the high temperatures where chiral symmetry is restored in the strong coupling limit of lattice QCD. Here, we propose a simple criterion for the nonperturbative renormalisation of the…

High Energy Physics - Lattice · Physics 2018-03-09 Philippe de Forcrand , Wolfgang Unger , Helvio Vairinhos

We investigate relations between the chiral susceptibility and axial $U(1)$ anomaly in lattice QCD at high temperatures. Employing the exactly chiral symmetric Dirac operator, we separate the purely axial $U(1)$ breaking effect in the…

High Energy Physics - Lattice · Physics 2024-03-27 S. Aoki , Y. Aoki , H. Fukaya , S. Hashimoto , I. Kanamori , T. Kaneko , Y. Nakamura , K. Suzuki , D. Ward

We study analytically the phase diagram of the pure $SU(N)$ lattice gauge theory at finite temperature, and we attempt to estimate the critical deconfinement temperature. We apply large $N$ techniques to the Wilson and to the Heat Kernel…

High Energy Physics - Lattice · Physics 2009-10-22 M. Billo' , M. Caselle , A. D'Adda , L. Magnea , S. Panzeri

We explore the compact U(1) lattice gauge theory with staggered fermions and gauge field action -\sum_P [\beta \cos(\Theta_P) + \gamma \cos(2\Theta_P)], both for dynamical fermions and in the quenched approximation. (\Theta_P denotes the…

High Energy Physics - Lattice · Physics 2009-10-30 J. Cox , W. Franzki , J. Jersák , C. B. Lang , T. Neuhaus

We re-analyze data from available finite-temperature QCD simulations near the chiral transition, with the help of Chiral Random Matrix Theory (chRMT). Statistical properties of the lowest-lying eigenvalues of the staggered Dirac operator…

High Energy Physics - Lattice · Physics 2009-10-31 F. Farchioni , Ph. de Forcrand , I. Hip , C. B. Lang , K. Splittorff

A systematic method to obtain strong coupling expansions for scattering quantities in Hamiltonian lattice field theories is presented. I develop the conceptual ideas by means of the Hamiltonian field theory analogue of the Ising model, in…

High Energy Physics - Lattice · Physics 2009-10-22 Bernd Dahmen

We study the thermal phase diagram of pure SU(3) lattice gauge theory with fundamental and adjoint couplings. We improve previous estimates of the position of the bulk transition line and determine the thermal deconfinement transition lines…

High Energy Physics - Lattice · Physics 2008-11-26 T. Blum , C. DeTar , Urs M. Heller , Leo Karkkainen , K. Rummukainen , D. Toussaint

The SU(2) and SU(3) chiral phase transitions in a hot gas made of pions, kaons and etas are studied within the framework of Chiral Perturbation Theory. By using the meson meson scattering phase shifts in a second order virial expansion, we…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. R. Pelaez

We study the relation of confinement and chiral symmetry breaking in gauge theories with non-trivial center, such as SU(N) gauge theories. To this end, we deform these gauge theories by introducing an additional control parameter into the…

High Energy Physics - Phenomenology · Physics 2012-05-08 Jens Braun , Tina K. Herbst

Chiral perturbation theory gives direct and unambiguous predictions for the form of various two-point hadronic correlators at low momentum in terms of a finite set of couplings in a chiral Lagrangian. In this paper we study the feasibility…

High Energy Physics - Lattice · Physics 2016-09-01 A. Duncan , S. Pernice , J. Yoo

The strong coupling expansion for staggered fermions allows for Monte Carlo simulations using a dual representation. It has a mild sign problem for low values of the inverse gauge coupling $\beta$, hence the phase diagram in the full $\mu_B…

High Energy Physics - Lattice · Physics 2025-02-11 Jangho Kim , Pratitee Pattanaik , Wolfgang Unger
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