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In magnetized plasma, the magnetic field confines the particles around the field lines. The anisotropy intensity in the viscosity and heat conduction may reach the order of $10^{12}$. When the boundary conditions are periodic or Neumann,…

Numerical Analysis · Mathematics 2017-01-04 Min Tang , Yihong Wang

Spin ice systems represent a prime example of constrained spin systems and exhibit rich low-energy physics. In this study, we explore how introducing a tunable anisotropic spin coupling to the conventional Ising spin ice Hamiltonian on the…

Strongly Correlated Electrons · Physics 2025-10-28 Gloria Isbrandt , Frank Pollmann , Michael Knap

We present and compare new types of algorithms for lattice QCD with staggered fermions in the limit of infinite gauge coupling. These algorithms are formulated on a discrete spatial lattice but with continuous Euclidean time. They make use…

High Energy Physics - Lattice · Physics 2012-12-03 Wolfgang Unger , Philippe de Forcrand

We investigate the high-temperature phase of QCD using lattice QCD simulations with $N_f = 2$ dynamical M\"obius domain-wall fermions. On generated configurations, we study the axial $U(1)$ symmetry, overlap-Dirac spectra, screening masses…

High Energy Physics - Lattice · Physics 2020-01-23 Kei Suzuki , Sinya Aoki , Yasumichi Aoki , Guido Cossu , Hidenori Fukaya , Shoji Hashimoto , Christian Rohrhofer

The ${\rm SU}(3)$ pure gauge theory exhibits a first-order thermal deconfinement transition due to spontaneous breaking of its global $Z_3$ center symmetry. When heavy dynamical quarks are added, this symmetry is broken explicitly and the…

High Energy Physics - Lattice · Physics 2021-01-25 Francesca Cuteri , Owe Philipsen , Alena Schön , Alessandro Sciarra

We study QCD with 2 colour-sextet quarks as a model for walking Technicolor, using lattice gauge theory simulations (RHMC) at finite temperature. Our goal is to determine if the massless theory is QCD-like (confining, with…

High Energy Physics - Lattice · Physics 2012-11-06 D. K. Sinclair , J. B. Kogut

We analyze chiral restoration within the $O(N+1)/O(N)$ Non-Linear Sigma Model for large $N$ as an effective theory for low-energy QCD at finite temperature $T$. The free energy is constructed diagramatically to ${\cal O}(TM^3)$ in the pion…

High Energy Physics - Phenomenology · Physics 2016-12-28 Santiago Cortés , Angel Gómez Nicola , John Morales

We investigate the chiral phase transition in the strong coupling lattice QCD (SC-LQCD) at finite temperature and density with finite coupling effects. We adopt one species of staggered fermion, and develop an analytic formulation based on…

High Energy Physics - Lattice · Physics 2010-11-05 Akira Ohnishi , Kohtaroh Miura , Takashi Z. Nakano , Noboru Kawamoto

We use two non-perturbative methods to obtain the anisotropy derivatives of the coupling constants (the anisotropy coefficients) of SU(3) lattice gauge theory. These coefficients appear in the derivative formulae for the energy density and…

High Energy Physics - Lattice · Physics 2009-10-31 J. Engels , F. Karsch , T. Scheideler

We present a recently introduced strategy to study non-perturbatively thermal QCD up to temperatures of the order of the electro-weak scale, combining step scaling techniques and shifted boundary conditions. The former allow to renormalize…

High Energy Physics - Lattice · Physics 2024-10-17 Leonardo Giusti , Matteo Bresciani , Mattia Dalla Brida , Tim Harris , Davide Laudicina , Michele Pepe , Pietro Rescigno

We study the phase diagram of quark matter and nuclear properties based on the strong coupling expansion of lattice QCD. Both of baryon and finite coupling correction are found to have effects to extend the hadron phase to a larger mu…

Nuclear Theory · Physics 2008-11-26 A. Ohnishi , N. Kawamoto , K. Miura , K. Tsubakihara , H. Maekawa

We provide evidence for partial deconfinement -- the deconfinement of a SU($M$) subgroup of the SU($N$) gauge group -- by using lattice Monte Carlo simulations. We take matrix models as concrete examples. By appropriately fixing the gauge,…

To date numerical simulations of lattice QCD have not found a chiral phase transition of first order which is expected to occur for sufficiently light pions. We show how the restoration of an exact global chiral symmetry can strongly…

High Energy Physics - Phenomenology · Physics 2024-07-25 Robert D. Pisarski , Fabian Rennecke

The nature of chiral phase transition for two flavor QCD is an interesting but unresolved problem. One of the most intriguing issues is whether or not the anomalous U(1) symmetry in the flavor sector is effectively restored along with the…

High Energy Physics - Lattice · Physics 2016-11-23 Sayantan Sharma , Viktor Dick , Frithjof Karsch , Edwin Laermann , Swagato Mukherjee

In this talk I will discuss a number of approaches designed to deal with the problem of setting up a fully non-perturbative renormalization procedure in lattice QCD. Methods based on Ward-Takahashi identities on hadronic states, on imposing…

High Energy Physics - Lattice · Physics 2009-10-28 G. C. Rossi

An extensive study of the compact $U(1)$ lattice gauge theory with a higher derivative gauge-fixing term and a suitable counter-term has been undertaken to determine the nature of the possible continuum limits for a wide range of the…

High Energy Physics - Lattice · Physics 2017-11-22 Asit K. De , Mugdha Sarkar

As a nonperturbative check on the Q-exact lattice formulation, we demonstrate that the continuum R-symmetries are recovered. We locate the critical domain of the lattice theory. Aspects of the continuum nonrenormalization theorems are found…

High Energy Physics - Lattice · Physics 2007-05-23 Joel Giedt

Results of our autocorrelation measurement performed on Fujitsu AP1000 are reported. We analyze (i) typical autocorrelation time, (ii) optimal mixing ratio between overrelaxation and pseudo-heatbath and (iii) critical behavior of…

High Energy Physics - Lattice · Physics 2009-10-22 K. Akemi , Ph. deForcrand , M. Fujisaki , T. Hashimoto , S. Hioki , O. Miyamura , A. Nakamura , M. Okuda , I. O. Stamatescu , Y. Tago , T. Takaishi

The critical sector of strong interactions at high temperatures is explored in the frame of two complementary approaches: Statistical Bootstrap for the hadronic phase and Lattice QCD for the Quark-Gluon partition function. A region of…

High Energy Physics - Phenomenology · Physics 2010-04-05 N. G. Antoniou , F. K. Diakonos , A. S. Kapoyannis

Finite cut-off effects strongly influence the thermodynamics of lattice regularized QCD at high temperature in the standard Wilson formulation. We analyze the reduction of finite cut-off effects in formulations of the thermodynamics of…

High Energy Physics - Lattice · Physics 2009-10-28 B. Beinlich , F. Karsch , E. Laermann
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