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The effective field theory of NN interactions in nuclear matter is considered. Due to the Pauli principle the effective NN amplitude is not affected by the shallow bound states. We show that the next-to-leading order terms in the chiral…

Nuclear Theory · Physics 2007-05-23 B. Krippa

During the past two decades, chiral effective field theory has evolved into a powerful tool to derive nuclear forces from first principles. Nearly all two-nucleon interactions have been worked out up to sixth order of chiral perturbation…

Nuclear Theory · Physics 2024-02-23 Ruprecht Machleidt , Francesca Sammarruca

We derive the renormalization group equations for a generic nonrenormalizable theory. We show that the equations allow one to derive the structure of the leading divergences at any loop order in terms of one-loop diagrams only. In chiral…

High Energy Physics - Phenomenology · Physics 2009-11-10 Matthias Buchler , Gilberto Colangelo

In this lecture series, I present the recent progress in our understanding of nuclear forces in terms of chiral effective field theory.

Nuclear Theory · Physics 2007-05-23 R. Machleidt

Results of an exploratory study of the antinucleon-nucleon interaction within chiral effective field theory are reported. The antinucleon-nucleon potential is derived up to next-to-next-to-leading order, based on a modified Weinberg power…

High Energy Physics - Phenomenology · Physics 2015-06-17 Xian-Wei Kang , Johann Haidenbauer , Ulf-G. Meißner

Chiral perturbation theory (ChPT) is the effective field theory of the strong interactions at low energies. We will address the issue of a consistent power counting scheme in a manifestly Lorentz-invariant formulation of baryon ChPT. As…

High Energy Physics - Phenomenology · Physics 2009-01-08 Stefan Scherer

A new four-dimensional $N=1$ superfield model is suggested. The model is induced by supertrace anomaly of matter superfields in curved superspace and leads to effective theory of supergravity chiral compensator. A renormalization structure…

High Energy Physics - Theory · Physics 2009-10-28 I. L. Buchbinder , A. Yu. Petrov

We provide a short introduction to the one-nucleon sector of chiral perturbation theory and address the issue of power counting and renormalization. We discuss the infrared regularization and the extended on-mass-shell scheme. Both allow…

High Energy Physics - Phenomenology · Physics 2015-06-03 Stefan Scherer

Effective field theory is applied to finite-density systems with an unnaturally large scattering length, such as neutron matter. A new organizational scheme is identified and connected with an expansion in inverse powers of the number of…

Nuclear Theory · Physics 2007-05-23 James V. Steele

Two-nucleon axial charge and current operators are derived in chiral effective field theory up to one loop. The derivation is based on time-ordered perturbation theory, and accounts for cancellations between the contributions of irreducible…

Nuclear Theory · Physics 2016-03-21 A. Baroni , L. Girlanda , S. Pastore , R. Schiavilla , M. Viviani

We discuss in detail the derivation of the leading four-nucleon force in chiral effective field theory using the method of unitary transformation. The resulting four-nucleon force is given in both momentum and configuration space. It does…

Nuclear Theory · Physics 2008-11-26 E. Epelbaum

We review how nuclear forces emerge from low-energy QCD via chiral effective field theory. The presentation is accessible to the non-specialist. At the same time, we also provide considerable detailed information (mostly in appendices) for…

Nuclear Theory · Physics 2011-05-19 R. Machleidt , D. R. Entem

Global symmetries and symmetry breaking patterns of QCD with light quarks, in particular chiral symmetry, provide basic guidance not only for low-energy hadron physics but also for nuclear forces and the nuclear many-body problem. Recent…

Nuclear Theory · Physics 2019-04-17 Wolfram Weise

We consider the effective field theory of the NN system in a separable representation. The pionic part of the effective potential is included nonperturbatively and approximated by a separable potential. The use of a separable representation…

High Energy Physics - Phenomenology · Physics 2015-06-25 B. Krippa , B. L. G. Bakker

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

I propose a prescription for separating the high- and low-energy contributions in effective field theories. This prescription allows a relativistic treatment of matter fields in chiral perturbation theory while the power counting remains…

High Energy Physics - Phenomenology · Physics 2008-02-03 Hua-Bin Tang

We address the issue of a consistent power counting scheme in manifestly Lorentz-invariant baryon chiral perturbation theory. We discuss the inclusion of vector mesons in the calculation of the nucleon electromagnetic form factors. We…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Scherer

Recent progress towards an understanding of the piNN system within chiral perturbation theory is reported. The focus lies on an effective field theory calculation and its comparison to phenomenological calculations for the reaction NN->d…

Nuclear Theory · Physics 2007-05-23 C. Hanhart

Ever since quantum field theory was first applied to the derivation of nuclear forces in the mid-20th century, the renormalization of pion exchange with realistic couplings has presented a challenge. The implementation of effective field…

Nuclear Theory · Physics 2020-03-17 U. van Kolck

Chiral effective field theory has established itself as the method of choice to study nuclear forces and low-energy nuclear dynamics. I review the status and prospects of this approach and discuss ongoing efforts to advance the precision…

Nuclear Theory · Physics 2015-10-27 Evgeny Epelbaum