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Related papers: Simulating the All-Order Hopping Expansion II: Wil…

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We present a technique that enables the evaluation of perturbative expansions based on one-loop-renormalized vertices up to large expansion orders. Specifically, we show how to compute large-order corrections to the random phase…

Strongly Correlated Electrons · Physics 2020-11-19 Fedor Šimkovic , Riccardo Rossi , Michel Ferrero

Representing the time-evolution operator as a tensor network constitutes a key ingredient in several algorithms for studying quantum lattice systems at finite temperature or in a non-equilibrium setting. For a Hamiltonian composed of…

Strongly Correlated Electrons · Physics 2026-02-26 Sander De Meyer , Atsushi Ueda , Yuchi He , Nick Bultinck , Jutho Haegeman

We discuss algorithms for domain wall fermions focussing on accelerating Hybrid Monte Carlo sampling of gauge configurations. Firstly a new multigrid algorithm for domain wall solvers and secondly a domain decomposed hybrid monte carlo…

High Energy Physics - Lattice · Physics 2022-04-01 Peter A Boyle , Dennis Bollweg , Christopher Kelly , Azusa Yamaguchi

We use the complex $\phi^4$ field at finite density as a model system for developing further techniques based on worldline formulations of lattice field theories. More specifically we: 1) Discuss new variants of the worm algorithm for…

High Energy Physics - Lattice · Physics 2018-04-18 Mario Giuliani , Oliver Orasch , Christof Gattringer

After briefly reviewing the potential for the $N$-flavor Thirring model, formulated with reducible fermions in 2+1$d$, to exhibit a strongly-coupled UV-stable fixed point where U($2N$) symmetry is spontaneously broken by a fermion bilinear…

High Energy Physics - Lattice · Physics 2023-11-27 Simon Hands , Jude Worthy

By generalizing our automated algebra approach from homogeneous space to harmonically trapped systems, we have calculated the fourth- and fifth-order virial coefficients of universal spin-1/2 fermions in the unitary limit, confined in an…

Quantum Gases · Physics 2021-08-04 Y. Hou , K. J. Morrell , A. J. Czejdo , J. E. Drut

We present detailed Monte Carlo results for a two-dimensional grain boundary model on a lattice. The effective Hamiltonian of the system results from the microscopic interaction of grains with orientations described by spins of unit length,…

Condensed Matter · Physics 2015-06-25 A. Jaster , H. Hahn

We study the efficiency of an improved Multiboson algorithm with two flavours of Wilson fermions in a realistic physical situation ($\beta = 5.60$, $\kappa = 0.156$ on a $16^3 \times 24$ lattice). The performance of this exact algorithm is…

High Energy Physics - Lattice · Physics 2009-10-31 C. Alexandrou , Ph. de Forcrand , M. D'Elia , H. Panagopoulos

We present first results for Wilson coefficients of operators up to first order in the covariant derivatives for the case of Wilson fermions. They are derived from the off-shell Compton scattering amplitude $\mathcal{W}_{\mu\nu}(a,p,q)$ of…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

The self-organized Monte Carlo simulations of 2D Ising ferromagnet on the square lattice are performed. The essence of devised simulation method is the artificial dynamics consisting of the single-spin-flip algorithm of Metropolis…

Computational Physics · Physics 2009-11-10 Denis Horvath , Martin Gmitra

We present a set of related Hybrid Monte Carlo methods to simulate an arbitrary number of dynamical overlap fermions. Each fermion is represented by a chiral pseudo-fermion field. The new algorithm reduces critical slowing down in the…

High Energy Physics - Lattice · Physics 2009-11-11 Thomas DeGrand , Stefan Schaefer

Using first-principle Hybrid-Monte-Carlo (HMC) simulations, we carry out an unbiased study of the competition between spin-density wave (SDW) and charge-density wave (CDW) order in the extended Hubbard model on the two dimensional hexagonal…

Strongly Correlated Electrons · Physics 2018-12-19 Pavel Buividovich , Dominik Smith , Maksim Ulybyshev , Lorenz von Smekal

We study the magnetic ordering transition for a system of harmonically trapped ultracold fermions with repulsive interactions in a cubic optical lattice, within a real-space extension of dynamical mean-field theory (DMFT). Using a quantum…

Quantum Gases · Physics 2010-09-20 E. V. Gorelik , I. Titvinidze , W. Hofstetter , M. Snoek , N. Blümer

We discuss a mapping of lattice QED with two flavors and a chemical potential to dual variables, which are surfaces for the gauge fields and loops for the fermions. The gauge fields are completely dualized and the corresponding dual…

High Energy Physics - Lattice · Physics 2015-02-10 Michael Kniely , Christof Gattringer

Normalized hypercubic smearing improves the behavior of dynamical Wilson-clover fermions, but has the unwanted side effect that it can occasionally produce spikes in the fermion force. These spikes originate in the chain rule connecting the…

High Energy Physics - Lattice · Physics 2014-09-10 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

We use the single-cluster Monte Carlo update algorithm to simulate the Ising model on two-dimensional Poissonian random lattices with up to 80,000 sites which are linked together according to the Voronoi/Delaunay prescription. In one set of…

High Energy Physics - Lattice · Physics 2009-09-25 W. Janke , M. Katoot , R. Villanova

We report large scale determinant Quantum Monte Carlo calculations of the effective bandwidth, momentum distribution, and magnetic correlations of the square lattice fermion Hubbard Hamiltonian at half-filling. The sharp Fermi surface of…

Strongly Correlated Electrons · Physics 2010-04-07 C. N. Varney , C. -R. Lee , Z. J. Bai , S. Chiesa , M. Jarrell , R. T. Scalettar

In this work we investigate theoretical and computational aspects of novel lattice fermion formulations for the simulation of lattice gauge theories. The lattice approach to quantum gauge theories is an important tool for studying quantum…

High Energy Physics - Lattice · Physics 2017-03-21 Christian Zielinski

We present results from simulations of lattice QCD using two flavors of dynamical Wilson fermions at a lattice coupling $\beta=5.3$ on $16^3 \times 32$ lattices at two hopping parameters, $\kappa=0.1670$ and $0.1675$, leading to $m_\pi…

High Energy Physics - Lattice · Physics 2009-10-22 K. M. Bitar

We give some new performance results for the Hybrid Monte Carlo (HMC) simulation of dynamical clover-improved Wilson fermions using an improved pseudo-fermion action. The generalisation of even-odd preconditioning for the standard Wilson…

High Energy Physics - Lattice · Physics 2009-04-25 Martin Hasenbusch
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