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A dynamical investigation of the nucleon-nucleon (NN) interaction by using the resonating group method (RGM) in a chiral SU(3) quark model has been revisited. The considered quark-quark interaction includes, besides the one-gluon exchange…

Nuclear Theory · Physics 2018-10-22 F. Huang , W. L. Wang

Model-space effective interactions $V_{eff}$ derived from free-space nucleon-nucleon interactions $V_{NN}$ are reviewed. We employ a double decimation approach: first we extract a low-momentum interaction $V_{low-k}$ from $V_{NN}$ using a…

Nuclear Theory · Physics 2016-03-23 T. T. S. Kuo , J. W. Holt , E. Osnes

We consider the application of the two-loop functional renormalization-group (fRG) approach to study the low-dimensional Hubbard model. This approach accounts for both, the universal and non-universal contributions to the RG flow. While the…

Strongly Correlated Electrons · Physics 2009-09-01 A. A. Katanin

A simple effective model for the intermediate-density regime is constructed from the high-density effective theory of quantum chromodynamics (QCD). In the effective model, under a renormalization-group (RG) scaling towards low momenta, the…

Nuclear Theory · Physics 2024-07-19 Kie Sang Jeong , Fabrizio Murgana , Ashutosh Dash , Dirk H. Rischke

We apply the renormalization group (RG) method to examine the observable scaling properties in Newtonian cosmology. The original scaling properties of the equations of motion in our model are modified for averaged observables on constant…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Y. Sota , T. Kobayashi , K. Maeda , T. Kurokawa , M. Morikawa , A. Nakamichi

We show that renormalization group(RG) theory can be used to give an analytic description of the evolution of a perturbed KdV equation. The equations describing the deformation of its shape as the effect of perturbation are RG equations.…

Statistical Mechanics · Physics 2009-11-07 Tao Tu , Hua Sheng

We develop a renormalization group (RG)-based perturbation scheme for a class of ordinary differential equations, including first-order systems with semisimple or nilpotent linear parts, as well as scalar higher-order equations. The key…

Mathematical Physics · Physics 2026-04-03 Atsuo Kuniba , Rurika Motohashi

Motivated by a recent experimental observation of a nodal liquid on both single crystals and thin films of Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$ by Chatterjee \emph{et al.} [Nature Physics \textbf{6}, 99 (2010)], we perform a field-theoretical…

Strongly Correlated Electrons · Physics 2015-06-15 Vanuildo S. de Carvalho , Hermann Freire

The functional renormalization group (fRG) approach has the property that, in general, the flow equation for the two-particle vertex generates $\mathcal{O}(N^4)$ independent variables, where $N$ is the number of interacting states (e.g.…

Strongly Correlated Electrons · Physics 2014-01-24 Florian Bauer , Jan Heyder , Jan von Delft

Renormalisation group approaches are tailor made for resolving the scale-dependence of quantum and statistical systems, and hence their phase structure and critical physics. Usually this advantage comes at the price of having to truncate…

High Energy Physics - Theory · Physics 2023-11-28 Friederike Ihssen , Jan M. Pawlowski

We show how Fermi liquid theory results can be systematically recovered using a renormalization group (RG) approach. Considering a two-dimensional system with a circular Fermi surface, we derive RG equations at one-loop order for the…

Condensed Matter · Physics 2024-09-12 N. Dupuis

In this letter we study renormalization group (RG) flows between 2d conformal field theories enjoying extended higher-spin $\mathcal{W}$-symmetry. We propose a new class of RG flows between the diagonal minimal models of…

High Energy Physics - Theory · Physics 2026-01-27 Federico Ambrosino , Tomáš Procházka

Regularization and renormalization is discussed in the context of low-energy effective field theory treatments of two or more heavy particles (such as nucleons). It is desirable to regulate the contact interactions from the outset by…

Nuclear Theory · Physics 2008-11-26 Thomas D. Cohen

Similarity Renormalization Group (SRG) flow equations can be used to unitarily soften nuclear Hamiltonians by decoupling high-energy intermediate state contributions to low-energy observables while maintaining the natural hierarchy of…

Nuclear Theory · Physics 2011-04-06 E. R. Anderson , S. K. Bogner , R. J. Furnstahl , R. J. Perry

The renormalization group (RG) approach is largely responsible for the considerable success that has been achieved in developing a quantitative theory of phase transitions. Physical properties emerge from spectral properties of the…

Mathematical Physics · Physics 2015-05-14 Mei Yin

We suggest a new, renormalization group (RG) based, nonperturbative method for treating the intermittency problem of fully developed turbulence which also includes the effects of a finite boundary of the turbulent flow. The key idea is not…

chao-dyn · Physics 2007-05-23 Alexander Esser , Siegfried Grossmann

It is demonstrated that the renormalization group (RG) flows of depinning transitions do not depend on whether the driving force or the system velocity is kept constant. This allows for a comparison between RG results and corresponding…

Condensed Matter · Physics 2009-10-31 Onuttom Narayan

The renormalization group (RG) properties of quantum gravity are explored, using the vielbein and the spin connection as the fundamental field variables. The scale dependent effective action is required to be invariant both under space time…

High Energy Physics - Theory · Physics 2015-05-20 J. -E. Daum , M. Reuter

Low momentum two-nucleon interactions obtained with the renormalization group method and the similarity renormalization group method are used to study the cutoff dependence of low energy 3N and 4N scattering observables. The residual cutoff…

Nuclear Theory · Physics 2008-11-26 A. Deltuva , A. C. Fonseca , S. K. Bogner

The nonrelativistic full-folding optical model approach for nucleon-nucleus scattering is extended into the relativistic regime. In doing so, kinematical issues involving the off-shell Lorentz boost of the colliding particles between the…

Nuclear Theory · Physics 2009-11-07 H. F. Arellano , H. V. von Geramb
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