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Continuing our previous QCD Hamiltonian studies in the gluonic and quark sectors, we describe a new renormalization procedure which generates an effective Hamiltonian. The formulation, which is in the Coulomb gauge, provides an improved…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. G. Robertson , E. S. Swanson , A. P. Szczepaniak , C. -R. Ji , S. R. Cotanch

We develop a formalism with two different UV cutoff scales, one for space and one for time, appropriate for the richer structure of non-Lorentz invariant quantum field theories. In this formalism there are two different beta-functions for…

High Energy Physics - Theory · Physics 2019-02-27 Georgios M. Koutentakis

The QCD coupling, $\alpha_s$, is not a physical observable since it depends on conventions related to the renormalization procedure. Here we discuss a redefinition of the coupling where changes of scheme are parametrised by a single…

High Energy Physics - Phenomenology · Physics 2016-12-19 Diogo Boito , Matthias Jamin , Ramon Miravitllas

This paper presents a generalized circuit framework for constructing Shih-type fractionalizations of unitary operators of dyadic order, i.e., operators $U$ satisfying $U^{2^n}=I$. Building upon the architecture of the quantum fractional…

In our recent work [1] on lattice QCD calculation of the baryon leading-twist LCDAs within the framework of LaMET, a novel hybrid renormalization scheme is implemented for octet baryon quasi-DAs, yielding reliable results across both…

High Energy Physics - Lattice · Physics 2026-05-15 Mu-Hua Zhang

Conventional renormalization methods in statistical physics and lattice quantum field theory assume a flat metric background. We outline here a generalization of such methods to models on discretized spaces without metric background.…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Robert Oeckl

We introduce tile codes, a simple yet powerful way of constructing quantum codes that are local on a planar 2D-lattice. Tile codes generalize the usual surface code by allowing for a bit more flexibility in terms of locality and stabilizer…

We bring evidence that the recently discovered property of natural stability of the high-energy resummation is directly connected to the fragmentation mechanism of heavy hadrons. As a phenomenological support, we provide predictions for…

High Energy Physics - Phenomenology · Physics 2022-11-23 Francesco Giovanni Celiberto

We continue the study of the ultraviolet problem for QED in d=3 using Balaban's formulation of the renormalization group. The model is defined on a fine toroidal lattice and we seek control as the lattice spacing goes to zero. Drawing on…

Mathematical Physics · Physics 2021-07-29 J. Dimock

We consider the double-scaling limit in matrix models for two-dimensional quantum gravity, and establish the nonperturbative functional Renormalization Group as a novel technique to compute the corresponding interacting fixed point of the…

General Relativity and Quantum Cosmology · Physics 2013-10-30 Astrid Eichhorn , Tim Koslowski

Renormalization group limit cycles may be a commonplace for quantum Hamiltonians requiring renormalization, in contrast to experience to date with classical models of critical points, where fixed points are far more common. We discuss the…

High Energy Physics - Theory · Physics 2008-11-26 Stanislaw D. Glazek , Kenneth G. Wilson

We study the renormalization group flow of higher derivative gravity, utilizing the functional renormalization group equation for the average action. Employing a recently proposed algorithm, termed the universal renormalization group…

High Energy Physics - Theory · Physics 2012-02-29 F. Saueressig , K. Groh , S. Rechenberger , O. Zanusso

The effective field theory of large-scale structure allows for a consistent perturbative bias expansion of the rest-frame galaxy density field. In this work, we present a systematic approach to renormalize galaxy bias and stochastic…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-11 Henrique Rubira , Fabian Schmidt

In the context of real-space renormalization group methods, we propose a novel scheme for quantum systems defined on a D-dimensional lattice. It is based on a coarse-graining transformation that attempts to reduce the amount of entanglement…

Strongly Correlated Electrons · Physics 2015-06-25 Guifre Vidal

We explore a simple parameterization of new physics that results in an ultraviolet complete gauge-quark sector of the Standard Model. Specifically, we add an antiscreening contribution to the beta functions of the gauge couplings and a…

High Energy Physics - Phenomenology · Physics 2020-03-20 Reinhard Alkofer , Astrid Eichhorn , Aaron Held , Carlos M. Nieto , Roberto Percacci , Markus Schröfl

In quantum networks, eliminating connections between nodes is crucial to mitigate the effects of decoherence, often achieved by performing measurements on nodes that are idle, or vulnerable to noise. To characterize the entanglement content…

Quantum Physics · Physics 2025-08-08 Jithin G. Krishnan , Aditi Sen De , Amit Kumar Pal

We study the phase diagram of the half-filled one-dimensional extended Hubbard model at weak coupling using a novel functional renormalization group (FRG) approach. The FRG method includes in a systematic manner the effects of the…

Strongly Correlated Electrons · Physics 2007-05-23 Ka-Ming Tam , Shan-Wen Tsai , David K. Campbell

The generalized Hamming weight of linear codes is a natural generalization of the minimum Hamming distance. They convey the structural information of a linear code and determine its performance in various applications, and have become one…

Information Theory · Computer Science 2022-12-08 Chao Liu , Dabin Zheng , Xiaoqiang Wang

We showed in part I (hep-th/9912092) that the Hopf algebra ${\cal H}$ of Feynman graphs in a given QFT is the algebra of coordinates on a complex infinite dimensional Lie group $G$ and that the renormalized theory is obtained from the…

High Energy Physics - Theory · Physics 2009-10-31 Alain Connes , Dirk Kreimer

We apply the functional renormalisation group to few-nucleon systems. Our starting point is a local effective action that includes three- and four-nucleon interactions, expressed in terms of nucleon and two-nucleon boson fields. The…

Nuclear Theory · Physics 2015-03-20 Michael C. Birse , Boris Krippa , Niels R. Walet
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