Article
Physics, Multidisciplinary
Dimitrios Bachtis, Gert Aarts, Francesco Di Renzo, Biagio Lucini
Summary: In this paper, we propose a method of inverse renormalization group transformations within the context of quantum field theory. This method can produce the appropriate critical fixed point structure, avoid the critical slowing down effect, and extract critical exponents. We also discuss the general applicability of this method and its insights into the structure of the renormalization group.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Particles & Fields
Daisuke Kadoh, Hideaki Oba, Shinji Takeda
Summary: In this research, we propose a second renormalization group (SRG) method based on the triad representation of tensor networks. The SRG method improves the decomposition and isometric preparation of the triad tensor, taking into account the influence of environment tensors. Numerical results obtained in the classical Ising model on the two-dimensional square lattice show good accuracy with a fixed computational time.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Marco Finocchiaro, Daniele Oriti
Summary: The paper discusses the motivation and goals of renormalization analyses of group field theory models of simplicial 4d quantum gravity, reviews the current status of this research area, presents new computations of perturbative group field theories amplitudes, and suggests research directions for further progress.
FRONTIERS IN PHYSICS
(2021)
Article
Physics, Multidisciplinary
M. A. Green, J. W. Moffat
Summary: Renormalization group methods are used in a finite, nonlocal quantum field theory to address issues in scalar field theory. The triviality problem, Higgs boson mass hierarchy problem, and vacuum stability are not problems in this theory. The scalar Higgs field does not have a Landau pole.
EUROPEAN PHYSICAL JOURNAL PLUS
(2021)
Article
Physics, Particles & Fields
Daniel Nogradi
Summary: The study investigates the most general perturbatively renormalizable theory of vector fields in four dimensions with a global SU(N) symmetry and massless couplings. The calculation of the RG flow to 1-loop reveals a rich phase diagram, demonstrating the existence of a finite number of asymptotically free RG-flows with non-trivial fixed points. However, none of these fixed points correspond to gauge theories.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Computer Science, Interdisciplinary Applications
Thomas Deppisch, Florian Herren
Summary: RGE++ is a flexible, template-based C++ library for solving renormalisation group equations, with implementations available for the Standard Model, minimal supersymmetric extension of the Standard Model, two-Higgs-doublet models, and right-handed neutrino extensions. It provides numerical solutions using Eigen3 and odeint, as well as templates for additional models.
COMPUTER PHYSICS COMMUNICATIONS
(2022)
Review
Physics, Multidisciplinary
N. Dupuis, L. Canet, A. Eichhorn, W. Metzner, J. M. Pawlowski, M. Tissier, N. Wschebor
Summary: The renormalization group is crucial in physics for determining the low-energy properties of systems and searching for ultraviolet completions. The nonperturbative functional renormalization group (FRG) method is a modern implementation of Wilson's RG, providing a framework to study models with correlated degrees of freedom over long distances. It is based on an exact functional flow equation and has applications in various fields of physics.
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
(2021)
Review
Physics, Multidisciplinary
Luigi Del Debbio, Alberto Ramos
Summary: Lattice QCD has established itself as a mature field, providing precise descriptions of the standard model and determining essential quantities such as the strong coupling constant. In addition, lattice calculations will be crucial in future phenomenological studies.
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
(2021)
Article
Physics, Multidisciplinary
D. R. Grigore
Summary: A coordinate space version of the factorization formula for the connected tree part of chronological products was presented, with a general framework considered and applied specifically to the QCD case.
EUROPEAN PHYSICAL JOURNAL PLUS
(2021)
Article
Multidisciplinary Sciences
James D. Watson, Emilio Onorati, Toby S. Cubitt
Summary: Renormalisation group methods are important for analyzing many-body systems. Recent work has shown the impossibility of determining certain physical features. We constructed a rigorous renormalisation group map, revealing an unpredictable and complex flow.
NATURE COMMUNICATIONS
(2022)
Article
Astronomy & Astrophysics
Cristobal Laporte, Nora Locht, Antonio D. Pereira, Frank Saueressig
Summary: Wetterich's equation is a powerful tool for studying the existence and universality of renormalization group fixed points with quantum scale invariance. A new approximation scheme is developed by projecting the functional renormalization group equation onto functions of the kinetic term. This projection reveals a new universality class with a unique spectrum of stability coefficients for scalars and gauge fields. The implications of these findings for asymptotically safe gravity-matter systems are discussed.
Article
Astronomy & Astrophysics
Richard C. Brower, Cameron Cogburn, A. Liam Fitzpatrick, Dean Howarth, Chung- Tan
Summary: The study focused on constructing the discretized theory of a scalar field in AdS(2) and investigating its approach to the continuum limit in the free and perturbative regime. The effects of lattice spacing and boundary effects were quantified, showing accurate modeling within the framework of the continuum limit description. Refinements of the lattice were also demonstrated to shrink lattice spacing while breaking the triangle group symmetry of the maximally symmetric tilings.
Article
Physics, Multidisciplinary
Pablo Arnault, Christopher Cedzich
Summary: In this paper, we propose a real-time lattice gauge theory (LGT) for a spin-1/2 matter field of a single particle on a (1 + 1)-dimensional spacetime lattice. The framework is based on a discrete-time quantum walk, which ensures unitarity and locality, with transition amplitudes vanishing outside of a lightcone on the lattice. We also present a lattice Noether's theorem for internal symmetries of this action and couple it to an electromagnetic field. Furthermore, we suggest a real-time LGT-type action for the electromagnetic field in arbitrary spacetime dimensions, deriving its classical equations of motion as lattice versions of Maxwell's equations.
NEW JOURNAL OF PHYSICS
(2022)
Article
Physics, Particles & Fields
Joseph Karpie, Kostas Orginos, Anatoly Radyushkin, Savvas Zafeiropoulos
Summary: In this study, continuum limit results for the unpolarized parton distribution function of the nucleon in lattice QCD are presented. The pseudo-PDF approach with Short Distance Factorization was utilized for the first time, and findings were compared with phenomenological determinations. The sGEVP technique was employed to optimize control over excited state contamination in calculations.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Adrien Florio, Joao M. Viana P. Lopes, Jose Matos, Joao Penedones
Summary: The phase diagram of 5-dimensional SU(2) Yang-Mills theory was studied on the lattice by considering two extensions of the fundamental plaquette Wilson action. Although the existence of a second order phase transition was excluded in the parameter space sampled for model i), the data is inconclusive in some regions of the parameter space for model ii), warranting further investigation.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
