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We develop a subtractive renormalization scheme to evaluate the P-wave NN scattering phase shifts using chiral effective theory potentials. This allows us to consider arbitrarily high cutoffs in the Lippmann-Schwinger equation (LSE). We…

Nuclear Theory · Physics 2013-05-29 C. -J. Yang , Ch. Elster , D. R. Phillips

By following the Foldy-Wouthuysen (FW) transformation of the Dirac equation, we work out the exact analytic expressions up to the $1/M^4$ order for the general cases in the covariant density functional theory. These results are further…

Nuclear Theory · Physics 2019-10-03 Yixin Guo , Haozhao Liang

We study a relation between nuclear forces based on phenomenological approach (V_ph) and nuclear effective field theory (V_EFT) from a viewpoint of renormalization group. We find the relation between these two types of nuclear force using…

Nuclear Theory · Physics 2008-11-26 Satoshi X. Nakamura

The family of Green's function methods based on the $GW$ approximation has gained popularity in the electronic structure theory thanks to its accuracy in weakly correlated systems combined with its cost-effectiveness. Despite this,…

Chemical Physics · Physics 2023-08-31 Antoine Marie , Pierre-François Loos

We review recent developments in the use of renormalization group (RG) methods in low-energy nuclear physics. These advances include enhanced RG technology, particularly for three-nucleon forces, which greatly extends the reach and accuracy…

Nuclear Theory · Physics 2013-11-14 R. J. Furnstahl , K. Hebeler

We use renormalization as a tool to extract universal features of the NN interaction in quark and soliton nucleon models, having the same long distance behaviour but different short distance components. While fine tuning conditions in the…

High Energy Physics - Phenomenology · Physics 2009-10-08 E. Ruiz Arriola , A. Calle Cordon

We consider two nonperturbative methods originally used to derive shell model effective interactions in nuclei. These methods have been applied to the two nucleon sector to obtain an energy independent effective interaction V_{low k}, which…

Nuclear Theory · Physics 2007-05-23 S. K. Bogner , A. Schwenk , T. T. S. Kuo , G. E. Brown

Results for the antinucleon-nucleon ($\bar NN$) interaction obtained at next-to-next-to-next-to-leading order in chiral effective field theory (EFT) are reported. A new local regularization scheme is used for the pion-exchange contributions…

Nuclear Theory · Physics 2017-08-02 Ling-Yun Dai , Johann Haidenbauer , Ulf-G. Meißner

We propose a new concept upon the renormalization group (RG) procedure for an interacting many-electron correlated system in the framework of natural orbitals, and formulate an algorithm for this RG approach. To demonstrate its…

Strongly Correlated Electrons · Physics 2014-02-17 Rong-Qiang He , Zhong-Yi Lu

Applications of the similarity renormalization group (SRG) approach [F. Wegner, Ann. Phys. 506, 77 (1994), S. D. G{\l}azek and K. G. Wilson, Phys. Rev. D 49, 4214 (1994)] to the formulation of useful many-body theories of electron…

Chemical Physics · Physics 2015-06-19 Francesco A. Evangelista

We investigate renormalization group limit cycles within the similarity renormalization group (SRG) and discuss their signatures in the evolved interaction. A quantitative method to detect limit cycles in the interaction and to extract…

Nuclear Theory · Physics 2015-04-20 P. Niemann , H. -W. Hammer

The numerical renormalization group (NRG) is rephrased as a variational method with the cost function given by the sum of all the energies of the effective low-energy Hamiltonian. This allows to systematically improve the spectrum obtained…

Quantum Physics · Physics 2013-05-23 Iztok Pizorn , Frank Verstraete

The convergence of no-core shell model (NCSM) calculations using renormalization group evolved low-momentum two-nucleon interactions is studied for light nuclei up to Li-7. Because no additional transformation was used in applying the NCSM…

Nuclear Theory · Physics 2008-11-26 S. K. Bogner , R. J. Furnstahl , P. Maris , R. J. Perry , A. Schwenk , J. P. Vary

Quantum field theories require a cutoff to regulate divergences that result from local interactions, and yet physical results can not depend on the value of this cutoff. The renormalization group employs a transformation that changes the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sergio Szpigel , Robert J. Perry

We describe the on-shell method to deriving the Renormalization Group (RG) evolution of Wilson coefficients of high dimensional operators at one loop, which is a necessary part in the on-shell construction of the Standard Model Effective…

High Energy Physics - Phenomenology · Physics 2021-02-03 Minyuan Jiang , Teng Ma , Jing Shu

We start with a simple introduction into the renormalization group (RG) in quantum field theory and give an overview of the renormalization group method. The third section is devoted to essential topics of the renorm-group use in the QFT.…

High Energy Physics - Theory · Physics 2007-05-23 D. V. Shirkov

We present a recently introduced real space renormalization group (RG) approach to the study of surface growth. The method permits us to obtain the properties of the KPZ strong coupling fixed point, which is not accessible to standard…

Condensed Matter · Physics 2016-08-17 M. A. Muñoz , G. Bianconi , C. Castellano , A. Gabrielli , M. Marsili , L. Pietronero

The renormalization of iterated one-pion exchange (OPE) is studied in Chiral Effective Field Theory ($\chi$EFT) for the antinucleon-nucleon ($\overline{N}\!N$) system. The OPE potential is cut off at a certain distance and contact…

Nuclear Theory · Physics 2022-05-31 Daren Zhou , Bingwei Long , R. G. E. Timmermans , U. van Kolck

We present an accurate nucleon-nucleon (NN) potential based upon chiral effective Lagrangians. The model includes one- and two-pion exchange contributions up to chiral order three and contact terms (which represent the short range force) up…

Nuclear Theory · Physics 2017-08-23 D. R. Entem , R. Machleidt

We obtain the renormalization group(RG) functions for the massless scalar field theory where symmetry breaking occurs radiatively. After obtaining the effective potential for the radiative symmetry breaking scheme from that of the minimal…

High Energy Physics - Theory · Physics 2009-09-28 Chungku Kim
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