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The functional renormalization group method is used to take into account the vacuum polarization around localized bound states generated by external potential. The application to Atomic Physics leads to improved Hartree-Fock and Kohn-Sham…

Strongly Correlated Electrons · Physics 2007-05-23 Janos Polonyi

A one-loop renormalization group analysis of the order v^2 relativistic corrections to the static QCD potential is presented. The velocity renormalization group is used to simultaneously sum ln(m/mv) and ln(m/mv^2) terms. The results are…

High Energy Physics - Phenomenology · Physics 2008-11-26 Aneesh V. Manohar , Iain W. Stewart

This is the third of a series of papers on three-loop computation of renormalization constants for Lattice QCD. Our main point of interest are results for the regularization defined by Iwasaki gauge action and n_f=4 Wilson fermions. Our…

High Energy Physics - Lattice · Physics 2015-06-18 M. Brambilla , F. Di Renzo , M. Hasegawa

Simulating strongly correlated systems in two dimensions is notoriously challenging due to rapid entanglement growth and frustration. Here, we introduce the adaptive projected-purified pseudoboson density-matrix renormalization group…

Strongly Correlated Electrons · Physics 2026-02-17 Fabian J. Pauw , Thomas Köhler , Ulrich Schollwöck , Sebastian Paeckel

We perform a pilot study of the perturbative renormalization of a Supersymmetric gauge theory with matter fields on the lattice. As a specific example, we consider Supersymmetric ${\cal N}{=}1$ QCD (SQCD). We study the self-energies of all…

High Energy Physics - Lattice · Physics 2017-08-16 M. Costa , H. Panagopoulos

The QED renormalization is restudied by using a mass-dependent subtraction which is performed at a time-like renormalization point. The subtraction exactly respects necessary physical and mathematical requirements such as the gauge…

High Energy Physics - Theory · Physics 2008-11-26 Jun-Chen Su , Xue-Xi Yi , Ying-Hui Cao

We discuss the two-loop evolution of the flavor-nonsinglet meson distribution amplitude in perturbative QCD. After reviewing previous two-loop computations, we outline the incompatibility of these solutions with the group property of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alexander P. Bakulev , N. G. Stefanis

We propose a modification of the non-perturbative renormalization-group (NPRG) which applies to lattice models. Contrary to the usual NPRG approach where the initial condition of the RG flow is the mean-field solution, the lattice NPRG uses…

Statistical Mechanics · Physics 2010-11-16 T. Machado , N. Dupuis

We give an introduction to three topics in lattice gauge theory: I. The Schroedinger Functional and O(a) improvement. O(a) improvement has been reviewed several times. Here we focus on explaining the basic ideas in detail and then proceed…

High Energy Physics - Lattice · Physics 2007-05-23 Rainer Sommer

A self-consistent renormalization scheme suitable for the calculation of non-universal quantities in $n$-vector models with pair spin interactions of arbitrary extent has been suggested. The method has been based on the elimination of the…

Statistical Mechanics · Physics 2019-04-24 V. I. Tokar

A renormalization group transformation suitable for spin glass models and, more generally, for disordered models, is presented. The procedure is non-standard in both the nature of the additional interactions and the coarse graining…

Disordered Systems and Neural Networks · Physics 2009-11-07 G. Parisi , R. Petronzio , F. Rosati

We report on a study of QCD thermodynamics with three flavors of quarks, using a Symanzik improved gauge action and the Asqtad O(a^2) improved staggered quark action. Simulations were carried out with lattice spacings 1/4T, 1/6T and 1/8T…

High Energy Physics - Lattice · Physics 2008-11-26 The MILC Collaboration , C. Bernard , T. Burch , C. DeTar , Steven Gottlieb , E. B. Gregory , U. M. Heller , J. Osborn , R. Sugar , D. Toussaint

We study the critical behavior and phase diagram of the $d$-dimensional random field O(N) model by means of the nonperturbative functional renormalization group approach presented in the preceding paper. We show that the dimensional…

Statistical Mechanics · Physics 2011-07-20 Matthieu Tissier , Gilles Tarjus

We discuss the resummation approach in QCD Analytic Perturbation Theory (APT). We start with a simple example of asymptotic power series for a zero-dimensional analog of the scalar $g\,\phi^4$ model. Then we give a short historic preamble…

High Energy Physics - Phenomenology · Physics 2012-01-10 Alexander P. Bakulev , Irina V. Potapova

We present new results on the summation of nonpower-series expansions in QCD Analytic Perturbation Theory (APT) in the one-loop approximation. We show how to generalize the approach suggested by one of us earlier to the cases of APT and…

High Energy Physics - Phenomenology · Physics 2008-03-27 A. P. Bakulev , S. V. Mikhailov

We present our progresses in the use of the non-perturbative renormalization framework based on considering QCD at finite temperature with shifted and twisted (for quarks only) boundary conditions in the compact direction. We report our…

High Energy Physics - Lattice · Physics 2022-11-28 Matteo Bresciani , Mattia Dalla Brida , Leonardo Giusti , Michele Pepe

Renormalization Group (RG) techniques have been successfully employed in quantum field theory and statistical physics. Here we apply RG methods to study the non-linear stages of structure formation in the Universe. Exact equations for the…

Astrophysics · Physics 2010-10-27 Sabino Matarrese , Massimo Pietroni

We study the effect of resumming large logarithms in the determination of the bottom quark mass through a non-relativistic sum rule analysis. Our result is complete at next-to-leading-logarithmic accuracy and includes some known…

High Energy Physics - Phenomenology · Physics 2008-11-26 Antonio Pineda , Adrian Signer

We describe a low cost alternative to the standard variational DMRG (density matrix renormalization group) algorithm that is analogous to the combination of selected configuration interaction plus perturbation theory (SCI+PT). We denote the…

Chemical Physics · Physics 2018-03-28 Sheng Guo , Zhendong Li , Garnet Kin-Lic Chan

We present a fully non-perturbative computation of the mass of the b-quark in the quenched approximation. Our strategy starts from the matching of HQET to QCD in a finite volume and finally relates the quark mass to the spin averaged mass…

High Energy Physics - Phenomenology · Physics 2009-11-11 Michele Della Morte , Nicolas Garron , Mauro Papinutto , Rainer Sommer