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We put forward the first analysis of renormalization group flows in an area-metric theory, motivated by spin-foam quantum gravity. Area-metric gravity contains the well-known length-metric degrees of freedom of standard gravity as well as…

General Relativity and Quantum Cosmology · Physics 2025-07-04 Johanna Borissova , Bianca Dittrich , Astrid Eichhorn , Marc Schiffer

Using the recently developed density matrix renormalization group approach, we study the correlation function of the spin-1 chain with quadratic and biquadratic interactions. This allows us to define and calculate the periodicity of the…

Condensed Matter · Physics 2009-10-22 R. J. Bursill , T. Xiang , G. A. Gehring

We explore the properties of a simple renormalizable shift symmetric model with a higher derivative kinetic energy and quartic derivative coupling, that can serve as a toy model for higher derivative theories of gravity. The scattering…

High Energy Physics - Theory · Physics 2024-11-05 Diego Buccio , John F. Donoghue , Roberto Percacci

We discuss conceptual aspects of renormalization in the context of effective field theories for the two-nucleon system. It is shown that, contrary to widespread belief, renormalization scheme dependence of the scattering amplitude can only…

Nuclear Theory · Physics 2015-05-13 E. Epelbaum , J. Gegelia

Phase equations describing the evolution of large scale modulation of spatially periodic patterns in two dimensional systems are derived by employing the renormalization group method. A general formula for phase diffusion coefficients is…

patt-sol · Physics 2009-10-30 Shin-ichi Sasa

Renormalization schemes and cutoff schemes allow for the introduction of various distinct renormalization scales for distinct couplings. We consider the coupled renormalization group flow of several marginal couplings which depend on just…

High Energy Physics - Theory · Physics 2019-03-27 Ulrich Ellwanger

We discuss the perturbative running Yang-Mills coupling constant in the Wilsonian exact renormalization group approach, and compare it to the running coupling in the more conventional MS-bar scheme. The exact renormalization group approach…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ulrich Ellwanger

We report the detailed study of the influence of the spin and valley splittings on such physical observables of the two-dimensional disordered electron liquid as resistivity, spin and valley susceptibilities. We explain qualitatively the…

Mesoscale and Nanoscale Physics · Physics 2008-05-17 I. S. Burmistrov , N. M. Chtchelkatchev

We compare the subtractive renormalization and the Wilsonian renormalization group approaches in the context of an effective field theory for the two-nucleon system. Based on an exactly solvable model of contact interactions, we observe…

Nuclear Theory · Physics 2018-05-21 E. Epelbaum , J. Gegelia , Ulf-G. Meißner

Metastable reverse-phase droplets are calculated by renormalization-group theory by evaluating the magnetization of a droplet under magnetic field, matching the boundary condition with the reverse phase and noting whether the reverse-phase…

Statistical Mechanics · Physics 2021-06-22 Ege Eren , A. Nihat Berker

The quantum renormalization group method is applied to study the quantum criticality and entanglement entropy of the ground state of the Ising chain in the presence of antisymmetric anisotropic couplings and alternating exchange…

Strongly Correlated Electrons · Physics 2012-08-09 Xiang Hao

The requirement that duality and renormalization group transformations commute as motions in the space of a theory has recently been explored to extract information about the renormalization flows in different statistical and field…

High Energy Physics - Theory · Physics 2007-05-23 Peter E. Haagensen

We discuss the matching conditions and renormalization group evolution of non-relativistic QCD. A variant of the conventional MS-bar scheme is proposed in which a subtraction velocity nu is used rather than a subtraction scale mu. We derive…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael E. Luke , Aneesh V. Manohar , Ira Z. Rothstein

We extend to quenched disordered systems the variational scheme for real space renormalization group calculations that we recently introduced for homogeneous spin Hamiltonians. When disorder is present our approach gives access to the flow…

Statistical Mechanics · Physics 2020-11-11 Yantao Wu , Roberto Car

Large-$N$ renormalization group equations for one- and two-matrix models are derived. The exact renormalization group equation involving infinitely many induced interactions can be rewritten in a form that has a finite number of coupling…

High Energy Physics - Theory · Physics 2014-03-25 Saburo Higuchi , Chigak Itoi , Shinsuke Nishigaki , Norisuke Sakai

We demonstrate the effectiveness of a generalized renormalized perturbational approach to calculate the induced magnetization for the single impurity Anderson model with a strong on-site interaction, using flow equations for renormalized…

Strongly Correlated Electrons · Physics 2013-04-30 K. Edwards , A. C. Hewson , V. Pandis

We study single and double quantum dots defined electrostatically within silicene. The spin-valley structure of the confined single- and two-electron system is determined and the effects of the intervalley scattering induced by the crystal…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 B. Szafran , D. Zebrowski

Starting from a well defined local Lagrangian, we analyze the renormalization group equations in terms of the two different arbitrary scales associated with the regularization procedure and with the physical renormalization of the bare…

High Energy Physics - Theory · Physics 2018-10-12 Jean-François Mathiot

I discuss the renormalisation group approach to gravity, its link to Steven Weinberg's asymptotic safety scenario, and give an overview of results with applications to particle physics and cosmology.

High Energy Physics - Theory · Physics 2011-09-19 Daniel F. Litim

A Wilsonian renormalisation group is used to study nonrelativistic two-body scattering by a short-ranged potential. We identify two fixed points: a trivial one and one describing systems with a bound state at zero energy. The eigenvalues of…

Nuclear Theory · Physics 2009-12-04 Michael C. Birse , Judith A. McGovern , Keith G. Richardson