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We non-perturbatively calculate the scale dependence of the static axial current in the Schroedinger functional scheme by means of a recursive finite-size scaling technique, taking the continuum limit in each step. The bare current in the…

高能物理 - 格点 · 物理学 2008-11-26 Jochen Heitger , Martin Kurth , Rainer Sommer

The renormalization group plays an essential role in many areas of physics, both conceptually and as a practical tool to determine the long-distance low-energy properties of many systems on the one hand and on the other hand search for…

统计力学 · 物理学 2021-05-10 N. Dupuis , L. Canet , A. Eichhorn , W. Metzner , J. M. Pawlowski , M. Tissier , N. Wschebor

We analyze quantum mechanical systems using the non-perturbative renormalization group (NPRG). The NPRG method enables us to calculate quantum corrections systematically and is very effective for studying non-perturbative dynamics. We start…

量子物理 · 物理学 2009-11-07 Ken-Ichi Aoki , Atsushi Horikoshi , Masaki Taniguchi , Haruhiko Terao

We present renormalization factors for the bilinear operators obtained using the non-perturbative renormalization method (NPR) in the RI-MOM scheme with improved staggered fermions on the MILC asqtad lattices ($N_f = 2+1$). We use the MILC…

高能物理 - 格点 · 物理学 2013-10-17 Jangho Kim , Jongjeong Kim , Weonjong Lee , Boram Yoon

Recently, the Fermilab heavy-quark action was extended to include dimension-six and -seven operators in order to reduce the discretization errors. In this talk, we present results of the first numerical simulations with this action (the OK…

高能物理 - 格点 · 物理学 2011-07-15 C. Detar , A. S. Kronfeld , M. B. Oktay

The renormalization of the most general dimension-six four-fermion operators without power subtractions is studied at one loop in lattice perturbation theory using overlap fermions. As expected, operators with different chirality do not mix…

高能物理 - 格点 · 物理学 2009-10-31 S. Capitani , L. Giusti

For the first time, we compute non-perturbatively, i.e. without lattice perturbation theory, the renormalization constants of two-fermion operators in the quenched approximation at $\beta=6.0$, 6.2 and 6.4 using the Wilson and the…

高能物理 - 唯象学 · 物理学 2009-10-31 V. Gimenez

Recently a block spin renormalization group approach was proposed for the dynamical triangulation formulation of two-dimensional quantum gravity. We use this approach to examine non-perturbatively a particular class of higher derivative…

高能物理 - 格点 · 物理学 2009-10-22 Ray L. Renken , Simon M. Catterall , John B. Kogut

A short-distance heavy quark mass depends on two parameters, the renormalization scale mu controlling the absorption of ultraviolet fluctuations into the mass, and a scale R controlling the absorption of infrared fluctuations. 1/R can be…

高能物理 - 唯象学 · 物理学 2008-11-26 Andre H. Hoang , Ambar Jain , Ignazio Scimemi , Iain W. Stewart

A new renormalization scheme for theories with nontrivial internal symmetry is proposed. The scheme is regularization independent and respects the symmetry requirements.

高能物理 - 理论 · 物理学 2016-11-23 A. A. Slavnov

Our recent method to calculate renormalized functional determinants, the partial wave cutoff method, is extended for the evaluation of 4-D fermion one-loop effective action with arbitrary mass in certain types of radially symmetric,…

高能物理 - 理论 · 物理学 2013-05-29 Jin Hur , Choonkyu Lee , Hyunsoo Min

We calculate one-loop renormalization factors for heavy-light bilinears as well as four-fermion operators relevant for $B^{0} - \bar{B}^{0}$ mixing calculations on the lattice. We use the static approximation for heavy quarks and the…

高能物理 - 格点 · 物理学 2008-11-26 Oleg Loktik , Taku Izubuchi

A renormalization group (RG) analysis of the superconductive instability of an anisotropic fermionic system is developed at a finite temperature. The method appears a natural generalization of Shankar's approach to interacting fermions and…

凝聚态物理 · 物理学 2009-10-28 Fabio Siringo , Giuseppe G. N. Angilella , Renato Pucci

Within the framework of the Covariant formulation of Light-Front Dynamics, we develop a general non-perturbative renormalization scheme, based on the Fock decomposition of the state vector and its truncation. The explicit dependence of our…

高能物理 - 理论 · 物理学 2007-05-23 J. F. Mathiot

We present preliminary results of the non-perturbative computation of the RI-MOM renormalisation constants in a mass-independent scheme for the action with Iwasaki glue and four dynamical Wilson quarks employed by ETMC. Our project requires…

We discuss the status and the problems related to the application of the off-shell non-perturbative renormalization method in a fixed gauge to operators relevant to weak decays. In particular, we critically reappraise the method recently…

高能物理 - 格点 · 物理学 2009-10-30 M. Talevi

The treatment of hypercubic lattice artifacts is essential for the calculation of non-perturbative renormalization constants of RI-MOM schemes. It has been shown that for the RI'-MOM scheme a large part of these artifacts can be calculated…

高能物理 - 格点 · 物理学 2015-01-27 Jakob Simeth , Andre Sternbeck , Meinulf Gockeler , Holger Perlt , Arwed Schiller

We renormalize to three loops a version of the Thirring model where the fermion fields not only lie in the fundamental representation of a non-abelian colour group SU(N_c) but also depend on the number of flavours, N_f. The model is not…

高能物理 - 理论 · 物理学 2009-10-31 J. F. Bennett , J. A. Gracey

We compute non-perturbatively the B-parameters of the complete basis of four-fermion operators needed to study the Kaon oscillations in the SM and in its supersymmetric extension. We perform numerical simulations with two dynamical…

高能物理 - 格点 · 物理学 2010-02-10 V. Bertone , P. Dimopoulos , R. Frezzotti , V. Gimenez , V. Lubicz , F. Mescia , D. Palao , M. Papinutto , G. C. Rossi , S. Simula , A. Vladikas

Reparameterization invariance, a symmetry of heavy quark effective theory, appears in different forms in the literature. The most commonly cited forms of the reparameterization transformation are shown to induce the same constraints on…

高能物理 - 唯象学 · 物理学 2009-09-11 Markus Finkemeier , Howard Georgi , Matt McIrvin