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Related papers: Power counting for nuclear forces in chiral effect…

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We briefly outline the so-called extended on-mass-shell renormalization scheme for manifestly Lorentz-invariant baryon chiral perturbation theory which provides a simple and consistent power counting for renormalized diagrams. We comment on…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Fuchs , M. R. Schindler , J. Gegelia , S. Scherer

We present the complete derivation of the nuclear axial charge and current operators as well as the pseudoscalar operators to fourth order in the chiral expansion relative to the dominant one-body contribution using the method of unitary…

Nuclear Theory · Physics 2017-04-05 H. Krebs , E. Epelbaum , U. -G. Meißner

A chiral model based on nucleons interacting via boson exchange is investigated. Fluctuation effects are included consistently beyond the mean-field approximation in the framework of the functional renormalization group. The liquid-gas…

Nuclear Theory · Physics 2014-11-03 Matthias Drews , Wolfram Weise

We consider the relationship between renormalizability and unitarity at a Lifshitz point in d dimensions. We test tree unitarity for theories containing only scalars and fermions, and for pure gauge theory. In both cases, we find the…

High Energy Physics - Theory · Physics 2011-03-23 Dylan Albrecht

We predict ground-state energies of $^3$H, $^4$He, and $^6$Li in chiral effective field theory up to next-to-next-to-next-to-leading-order (N$^3$LO) using a power counting guided by renormalization-group invariance. Subleading two-nucleon…

Nuclear Theory · Physics 2026-04-30 Oliver Thim , Andreas Ekström , Christian Forssén

We consider separable toy models of the nucleon-nucleon interaction inspired by chiral effective field theory. We show that nonlocality of the long-range forces causes the need for nonlocal counter terms, or even makes the whole approach…

Nuclear Theory · Physics 2025-09-11 N. Jacobi , A. M. Gasparyan , E. Epelbaum

Effective field theory is considered to provide a highly useful framework for connecting nuclear physics with the symmetries and dynamics of the underlying theory of strong interactions, QCD. Of many issues that are of great current…

Nuclear Theory · Physics 2009-10-31 Kuniharu Kubodera

A new power-counting scheme for a chiral effective field theory that includes Delta degrees of freedom is briefly described and applied to the nucleon Compton scattering.

Nuclear Theory · Physics 2007-05-23 V. Pascalutsa , D. R. Phillips

The renormalization of the effective field theories (EFTs) in many-body systems is the most pressing and challenging problem in modern nuclear ab initio calculation. For general non-relativistic EFTs, we prove that the renormalization group…

Nuclear Theory · Physics 2023-08-29 Bing-Nan Lu , Bao-Ge Deng

We discuss some higher-loop studies of renormalization-group flows and fixed points in various quantum field theories.

High Energy Physics - Theory · Physics 2022-07-05 Robert Shrock

I review the chiral dynamics of nuclear physics. In the first part, I discuss the new developments in the construction of the forces between two, three and four nucleons which have been partly carried out to fifth order in the chiral…

Nuclear Theory · Physics 2016-03-23 Ulf-G Meißner

We derive the short-range contributions and the leading relativistic corrections to the three-nucleon force at next-to-next-to-next-to-leading order in the chiral expansion.

Nuclear Theory · Physics 2013-05-29 V. Bernard , E. Epelbaum , H. Krebs , U. -G. Meißner

Chiral effective field theory ($\chi$EFT) is a powerful tool for studying electroweak processes in nuclei. I discuss $\chi$EFT calculations of three key nuclear electroweak processes: primordial deuterium production, proton-proton fusion,…

Nuclear Theory · Physics 2024-04-18 Bijaya Acharya

Recently, a new generation of nuclear forces has been developed in the framework of chiral EFT. An important feature of these potentials is a novel semi-local regularization approach that combines the advantages of a local regulator for…

Nuclear Theory · Physics 2022-06-16 E. Epelbaum , H. Krebs , P. Reinert

We study the quark mass expansion of the magnetic moments of the nucleon in a chiral effective field theory including nucleons, pions and delta resonances as explicit degrees of freedom. We point out that the usual powercounting applied so…

High Energy Physics - Lattice · Physics 2007-05-23 Thomas R. Hemmert , Wolfram Weise

It is argued that Weinberg's approach to the nucleon-nucleon (NN) interaction problem within effective field theory provides a consistent power counting for renormalized diagrams. Within this scheme the NN potential is organized as an…

Nuclear Theory · Physics 2009-11-10 J. Gegelia , S. Scherer

Finite-range regularised (FRR) chiral effective field theory is presented in the context of approximation schemes ubiquitous in modern lattice QCD calculations. Using FRR techniques, the power-counting regime (PCR) of chiral perturbation…

High Energy Physics - Lattice · Physics 2010-02-17 Derek B. Leinweber , Anthony W. Thomas , Ross D. Young

We investigate asymmetric nuclear matter with two- and three-nucleon interactions based on chiral effective field theory, where three-body forces are fit only to light nuclei. Focusing on neutron-rich matter, we calculate the energy for…

Nuclear Theory · Physics 2015-06-17 C. Drischler , V. Soma , A. Schwenk

Chiral perturbation theory has to be substantially modified for the problem of nuclear forces. Loop effects dominate over tree level effects. The dominant behaviours in the scalar isoscalar channel and multi-nucleon forces are obtained in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ramesh Anishetty , N. D. Hari Dass , H. S. Sharatchandra

We estimate four-nucleon force effects between different 4He wave functions by calculating the expectation values of four-nucleon potentials which were recently derived within the framework of chiral effective field theory. We find that the…

Nuclear Theory · Physics 2007-05-23 D. Rozpedzik , J. Golak , R. Skibinski , H. Witala , W. Gloeckle , E. Epelbaum , A. Nogga , H. Kamada