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We present our investigations of SU($N$) adjoint QCD in two dimensions with one Majorana fermion on the lattice. We determine the relevant parameter range for the simulations with Wilson fermions and present results for Polyakov loop,…

高能物理 - 格点 · 物理学 2024-04-08 Georg Bergner , Stefano Piemonte , Mithat Ünsal

We report on lattice QCD results for the thermodynamic equation of state of quark-gluon matter obtained with Nf=2 degenerate quark flavors. For the fermion field discretization we are using the Wilson-twisted mass prescription. Simulations…

高能物理 - 格点 · 物理学 2015-06-23 F. Burger , E. -M. Ilgenfritz , M. P. Lombardo , M. Muller-Preussker

We show how to construct lattice sigma models in one, two and four dimensions which exhibit an exact fermionic symmetry. These models are discretized and {\it twisted} versions of conventional supersymmetric sigma models with N=2…

高能物理 - 格点 · 物理学 2009-11-10 Simon Catterall , Sofiane Ghadab

Master-field simulations offer an approach to lattice QCD in which calculations are performed on a small number of large-volume gauge-field configurations. The latter is advantageous for simulations in which the global topological charge is…

高能物理 - 格点 · 物理学 2022-12-20 Mattia Bruno , Marco Cè , Anthony Francis , Jeremy R. Green , Max Hansen , Savvas Zafeiropoulos

In this paper we present our results concerning the dependence of Wilson loop expectation values on the size of the lattice and the rank of the SU(N) gauge group. This allows to test the claims about volume independence in the large N…

高能物理 - 格点 · 物理学 2015-06-23 Antonio Gonzalez-Arroyo , Masanori Okawa

The effective potential for the Wilson loop in the SU(2) gauge theory with N_f massive fundamental and N_a massive adjoint fermions on S^1 x M^4 is computed at the one-loop level, assuming periodic boundary conditions for the gauge field…

高能物理 - 唯象学 · 物理学 2009-11-10 Muge Boz , Namik K. Pak

Large-N volume independence in circle-compactified QCD with N_f \geq 1 adjoint Weyl fermions implies the absence of any phase transitions as the radius is dialed to arbitrarily small values. This class of theories are believed to possess a…

高能物理 - 理论 · 物理学 2014-01-22 Gokce Basar , Aleksey Cherman , Daniele Dorigoni , Mithat Unsal

The phase structure of QCD-like gauge theories with fermions in various representations is an interesting but generally analytically intractable problem. One way to ensure weak coupling is to define the theory in a small finite volume, in…

高能物理 - 理论 · 物理学 2009-11-13 Timothy J. Hollowood , Joyce C. Myers

We study aspects of the large-N volume independence on R**3 x L**G, where L**G is a G-site lattice for Yang-Mills theory with adjoint Wilson-fermions. We find the critical number of lattice sites above which the center-symmetry analysis on…

高能物理 - 理论 · 物理学 2011-03-17 Erich Poppitz , Mithat Unsal

We study the effective Hamiltonian for strong-coupling lattice QCD in the case of non-zero baryon density. In leading order the effective Hamiltonian is a generalized antiferromagnet. For naive fermions, the symmetry is U(4N_f) and the…

高能物理 - 格点 · 物理学 2009-11-07 Barak Bringoltz , Benjamin Svetitsky

Because the time needed for a simulation in lattice QCD varies at a rate exceeding the fourth power of the lattice size, it is important to understand how small one can make a lattice without altering the physics beyond recognition. It is…

高能物理 - 格点 · 物理学 2010-02-17 A. W. Thomas , J. D. Ashley , D. B. Leinweber , R. D. Young

Lattice QCD simulations at small lattice spacings and quark masses close to their physical values are technically challenging. In particular, the simulations can get trapped in the topological charge sectors of field space or may run into…

高能物理 - 格点 · 物理学 2015-06-05 Martin Lüscher , Stefan Schaefer

We present results from a numerical simulation of the two-dimensional Euclidean Wess-Zumino model. In the continuum the theory possesses N=1 supersymmetry. The lattice model we employ was analyzed by Golterman and Petcher in \cite{susy}…

高能物理 - 格点 · 物理学 2009-11-10 Simon Catterall , Sergey Karamov

We present selected results obtained by RQCD from simulations of $N_f=2+1$ flavours of non-perturbatively $\mathcal{O}(a)$ improved Wilson fermions, employing open boundary conditions in time. The ensembles were created within the CLS…

Lattice simulations of Yang-Mills theories coupled with $N_f$ flavours of fermions in the adjoint representation provide a way to probe the non-perturbative regime of a plethora of different physical scenarios, such as Supersymmetric…

高能物理 - 格点 · 物理学 2022-12-06 P. Butti , M. García Pérez , A. González-Arroyo , K. I. Ishikawa

We consider the possibility of using reweighting techniques in order to correct for the breaking of unitarity when twisted boundary conditions are imposed on valence fermions in simulations of lattice gauge theories. We start by studying…

高能物理 - 格点 · 物理学 2017-09-13 Andrea Bussone , Michele Della Morte , Martin Hansen , Claudio Pica

We investigate the leading lattice spacing effects in mesonic two-point correlators computed with twisted mass Wilson fermions in the epsilon-regime. By generalizing the procedure already introduced for the untwisted Wilson chiral effective…

高能物理 - 格点 · 物理学 2014-11-20 O. Bar , S. Necco , A. Shindler

We present a comprehensive tensor network study of staggered, Wilson, and twisted mass fermions in the Hamiltonian formulation, using the massive two-flavor Schwinger model as a benchmark. Particular emphasis is placed on twisted mass…

高能物理 - 格点 · 物理学 2026-04-14 Tim Schwägerl , Karl Jansen , Stefan Kühn

It is believed that fermions in adjoint representation on single site lattice will restore the center symmetry, which is a crucial requirement for the volume independence of large-N lattice gauge theories. We present a perturbative analysis…

高能物理 - 格点 · 物理学 2010-01-19 A. Hietanen , R. Narayanan

We investigate SU(3) gauge theories in four dimensions with Nf fundamental fermions, on a lattice using the Wilson fermion. Clarifying the vacuum structure in terms of Polyakov loops in spatial directions and properties of temporal…

高能物理 - 格点 · 物理学 2014-06-18 K. -I. Ishikawa , Y. Iwasaki , Yu Nakayama , T. Yoshie