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We propose a new framework for investigating two-flavor lattice QCD with finite temperature and density by applying the Karsten-Wilczek lattice fermion, in which a species-dependent imaginary chemical potential can reduce the number of…

High Energy Physics - Lattice · Physics 2012-12-21 Taro Kimura , Tatsuhiro Misumi , Akira Ohnishi

We consider two-flavor QCD in the lattice regularization with improved Wilson fermions. In this formulation chiral symmetry is explicitly broken at order a and hence the isovector axial currents require improvement as well as a finite…

High Energy Physics - Lattice · Physics 2007-05-23 Roland Hoffmann

We investigate a way of circumventing the sign problem in lattice QCD simulations with a theta-vacuum term, using the PNJL model. We consider the reweighting method for the QCD Lagrangian after the U_A(1) transformation. In the Lagrangian,…

High Energy Physics - Phenomenology · Physics 2013-03-22 Takahiro Sasaki , Hiroaki Kouno , Masanobu Yahiro

The status of the transverse lattice formulation of light-front QCD is reviewed. It is explained how confinement arises in this formulation for large lattice spacing. The nonperturbative renormalization procedure is outlined in general and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Matthias Burkardt

This work develops a framework to apply normalizing-flow transformations of field configurations for all-orders Quantum Electrodynamics (QED) corrections in lattice field theory. This opens a new possibility to determine all-order…

High Energy Physics - Lattice · Physics 2026-05-22 Nils Hermansson-Truedsson , Gurtej Kanwar

We discuss the confining and chiral-symmetry breaking properties of QCD with a large number of flavors $N_f$. In a Monte Carlo simulation of QCD with $N_f =16$ staggered fermions, we find clear evidence of a first order bulk phase…

High Energy Physics - Lattice · Physics 2009-10-30 P. H. Damgaard , U. M. Heller , A. Krasnitz , P. Olesen

For moments of leptoproduction structure functions we show that all dependence on the renormalization and factorization scales disappears, provided that all the ultraviolet logarithms involving the physical energy scale Q are completely…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. J. Maxwell , A. Mirjalili

The construction of multigrid operators for disordered linear lattice operators, in particular the fermion matrix in lattice gauge theories, by means of algebraic multigrid and block LU decomposition is discussed. In this formalism, the…

High Energy Physics - Lattice · Physics 2016-09-01 Christoph Best

We show how to perform a resummation, to all orders in perturbation theory, of a certain class of gauge invariant tadpole-like diagrams in Lattice QCD. These diagrams are often largely responsible for lattice artifacts. Our resummation…

High Energy Physics - Lattice · Physics 2015-06-25 H. Panagopoulos , E. Vicari

We report on progress to renormalize non-pertubatively the static heavy quark theory on the lattice. In particular, we present first results for position-space renormalization scheme for heavy-light bilinears. We test our approach on RBC's…

High Energy Physics - Lattice · Physics 2015-12-02 Piotr Korcyl , Christoph Lehner , Tomomi Ishikawa

We explain the recent numerical successes obtained by Tao Xiang's group, who developed and applied Tensor Renormalization Group methods for the Ising model on square and cubic lattices, by the fact that their new truncation method sharply…

High Energy Physics - Lattice · Physics 2013-03-14 Y. Meurice

We present a new theoretical and practical strategy to renormalize non-perturbatively the energy-momentum tensor in lattice QCD based on the framework of shifted boundary conditions. As a preparatory step for the fully non-perturbative…

High Energy Physics - Lattice · Physics 2019-12-02 Mattia Dalla Brida , Leonardo Giusti , Michele Pepe

We compute the running QCD coupling on the lattice by evaluating two-point and three-point off-shell gluon Green's functions in a fixed gauge and imposing non-perturbative renormalisation conditions on them. Our exploratory study is…

High Energy Physics - Lattice · Physics 2009-03-09 B. Alles , D. S. Henty , H. Panagopoulos , C. Parrinello , C. Pittori , D. G. Richards

A simple phenomenological real-space renormalization group method for quantum Heisenberg spins with nearest and next nearest neighbour interactions on a pyrochlore lattice is presented. Assuming a scaling law for the order parameter of two…

Statistical Mechanics · Physics 2013-09-18 Angel J. Garcia-Adeva

We propose a novel coarse graining tensor renormalization group method based on the higher-order singular value decomposition. This method provides an accurate but low computational cost technique for studying both classical and quantum…

Statistical Mechanics · Physics 2015-03-19 Z. Y. Xie , J. Chen , M. P. Qin , J. W. Zhu , L. P. Yang , T. Xiang

We compute the partition function of a massive free boson in a square lattice using a tensor network algorithm. We introduce a singular value decomposition (SVD) of continuous matrices that leads to very accurate numerical results. It is…

Statistical Mechanics · Physics 2019-11-13 Manuel Campos , German Sierra , Esperanza Lopez

During recent years there has been an increasing interest in the application of matrix product states, and more generally tensor networks, to lattice gauge theories. This non-perturbative method is sign problem free and has already been…

High Energy Physics - Lattice · Physics 2016-11-07 Mari Carmen Bañuls , Krzysztof Cichy , J. Ignacio Cirac , Karl Jansen , Stefan Kühn , Hana Saito

We review a method for numerical simulations of lattice gauge theories at non-zero baryonic chemical potential we recently proposed. We first report on a test of the method using a solvable model and then present results for the phase…

High Energy Physics - Lattice · Physics 2007-05-23 Vicente Azcoiti , Giuseppe Di Carlo , Angelo Galante , Victor Laliena

The higher-order tensor renormalization group is a tensor-network method providing estimates for the partition function and thermodynamical observables of classical and quantum systems in thermal equilibrium. At every step of the iterative…

High Energy Physics - Lattice · Physics 2023-02-22 Jacques Bloch , Robert Lohmayer , Maximilian Meister , Michael Nunhofer

A lattice regularization procedure for gauge theories is proposed in which fermions are given a special treatment such that all chiral flavor symmetries that are free of Adler-Bell-Jackiw anomalies are kept intact. There is no doubling of…

High Energy Physics - Theory · Physics 2009-10-28 G. 't Hooft