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We describe recent progress on generation of gauge configurations using the Highly Improved Staggered Quark (HISQ) action that was designed by the HPQCD/UKQCD collaboration. The HISQ action requires two levels of smearing with a…

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

In this poster we present a few preliminary results obtained using our method to fix generic covariant gauges on the lattice. We have computed the gluon propagator and we have found a sensitive dependence on the gauge parameter.

High Energy Physics - Lattice · Physics 2007-05-23 L. Giusti , M. L. Paciello , S. Petrarca , B. Taglienti

We review the numerical analysis' understanding of Krylov subspace methods for solving (non-hermitian) systems of equations and discuss its implications for lattice gauge theory computations using the example of the Wilson fermion matrix.…

High Energy Physics - Lattice · Physics 2009-10-28 Andreas Frommer

We explore the phase diagram of a lattice fermion model that exhibits three distinct phases: a massless fermion (MF) phase; a massive fermion phase with spontaneous symmetry breaking (SSB) induced by a fermion bilinear condensate; and a…

High Energy Physics - Lattice · Physics 2026-01-01 Sandip Maiti , Debasish Banerjee , Shailesh Chandrasekharan , Marina K. Marinkovic

We consider fermionic systems in which fermion parity is conserved within rigid subsystems, and describe an explicit procedure for gauging such subsystem fermion parity symmetries to obtain bosonic spin Hamiltonians. We show that gauging…

Strongly Correlated Electrons · Physics 2020-09-01 Wilbur Shirley

Based upon the mathematical formulas of Lattice gauge theory and non-commutative geometry differential calculus, we developed an approach of generalized gauge theory on a product of the spacetime lattice and the two discrete points(or a…

High Energy Physics - Lattice · Physics 2007-05-23 Jianming Li , Xingchang Song , Ke Wu

In this paper, we investigate a digitised SU$(2)$ lattice gauge theory in the Hamiltonian formalism. We use partitionings to digitise the gauge degrees of freedom and show how to define a penalty term based on finite element methods to…

High Energy Physics - Lattice · Physics 2025-03-06 Timo Jakobs , Marco Garofalo , Tobias Hartung , Karl Jansen , Johann Ostmeyer , Simone Romiti , Carsten Urbach

We discuss the phase diagram of Wilson fermions in the $m_0$--$g^2$ plane for two-flavor QCD. We argue that, as originally suggested by Aoki, there is a phase in which flavor and parity are spontaneously broken. Recent numerical results on…

High Energy Physics - Lattice · Physics 2012-08-27 Stephen Sharpe , Robert Singleton,

The recently proposed worldsheet formulation of lattice fermions is tested for the first time carrying out a simulation for the simplest model: the one-flavor, strictly massless lattice Schwinger model. A main advantage of this alternative…

High Energy Physics - Lattice · Physics 2009-10-30 H. Fort

We analyze the Schwinger model on an infinite lattice using the continuum definition of the fermion determinant and a linear interpolation of the lattice gauge fields. The possible class of interpolations for the gauge fields, compatible…

High Energy Physics - Lattice · Physics 2009-10-28 Christof Gattringer

We show how a strongly coupled lattice theory consisting of just fermions and gauge fields can exhibit a dynamical Higgs mechanism through the formation of a gauge invariant four fermion condensate. Furthermore, we argue that this lattice…

High Energy Physics - Lattice · Physics 2015-06-16 Simon Catterall , Aarti Veernala

We report meson spectra obtained by using valence overlap fermion propagators generated on a background of 2+1 flavor domain wall fermion gauge configurations on 16^3 X 32, 24^3 X 64 and 32^3 X 64 lattices. We use many-to-all correlators…

High Energy Physics - Lattice · Physics 2011-07-08 N. Mathur , A. Alexandru , Y. Chen , T. Doi , S. J. Dong , T. Draper , M. Gong , F. X. Lee , A. Li , K. -F. Liu , T. Streuer , J. B. Zhang

We identify natural degrees of freedom of polycrystalline materials -- affine transformations of grains -- with those of a three-dimensional lattice theory for $(T\otimes\Omega)(\mathbb{R}^3)$. We define a lattice Dirac operator on this…

High Energy Physics - Theory · Physics 2007-05-23 I. Schmelzer

A new synthesis scheme is proposed to generate a random vector with prescribed joint density that induces a (latent) Gaussian tree structure. The quality of synthesis is shown by vanishing total variation distance between the synthesized…

Information Theory · Computer Science 2017-05-09 Ali Moharrer , Shuangqing Wei , George T. Amariucai , Jing Deng

Emergence of fundamental forces from gauge symmetry is among our most profound insights about the physical universe. In nature, such symmetries remain hidden in the space of internal degrees of freedom of subatomic particles. Here we…

Quantum Gases · Physics 2019-12-19 Kunal K. Das , Miroslav Gajdacz

The propagator of the domain wall fermion is calculated from the gauge configurations of the RBC-UKQCD collaborations with 2+1 dynamical flavors of $16^3\times 32\times 16$ lattice. The ambiguity of the phase is adjusted such that the…

High Energy Physics - Lattice · Physics 2009-05-20 Sadataka Furui

The worldsheet formulation is introduced for lattice gauge theories with dynamical fermions. The partition function of lattice compact QED with staggered fermions is expressed as a sum over surfaces with border on self-avoiding fermionic…

High Energy Physics - Lattice · Physics 2008-02-03 J. M. Aroca , H. Fort , R. Gambini

We study the partition function of the model formulated with Wilson fermions with only one species, both analytically and numerically. At strong coupling we construct the solution for lattice size up to $8\times 8$, a polynomial in the…

High Energy Physics - Lattice · Physics 2009-10-22 H. Gausterer , C. B. Lang

We investigate the real-time dynamics of U(1) and SU(N) gauge theories coupled to fermions on a lattice. While real-time lattice gauge theory is not amenable to standard importance sampling techniques, for a large class of time-dependent…

High Energy Physics - Phenomenology · Physics 2014-08-12 Valentin Kasper , Florian Hebenstreit , Jürgen Berges