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This review gives a brief introduction to the chiral effective field theory of nuclear forces and atomic nuclei. We discuss the status of the nuclear Hamiltonian derived in this framework and some recent applications in few-nucleon systems.…

Nuclear Theory · Physics 2015-06-03 Evgeny Epelbaum , Ulf-G. Meißner

We consider nucleon-nucleon scattering using the formulation of chiral effective field theory which is claimed to be renormalization group invariant. The cornerstone of this framework is the existence of a well-defined infinite-cutoff limit…

Nuclear Theory · Physics 2022-10-31 A. M. Gasparyan , E. Epelbaum

The appropriate power counting for the effective field theory of NN interactions is reviewed. It is more subtle than in most effective field theories since in the limit that the S-wave NN scattering lengths go to infinity it is governed by…

High Energy Physics - Phenomenology · Physics 2007-05-23 Mark B. Wise

Although one-loop calculations provide a realistic description of bulk and single-particle nuclear properties, it is necessary to examine loop corrections to develop a systematic finite-density power-counting scheme for the nuclear…

Nuclear Theory · Physics 2008-11-26 Ying Hu , Jeff McIntire , Brian D. Serot

We derive the general counting rules for a quantum effective field theory (EFT) in $\mathsf{d}$ dimensions. The rules are valid for strongly and weakly coupled theories, and predict that all kinetic energy terms are canonically normalized.…

High Energy Physics - Phenomenology · Physics 2016-09-12 M. B. Gavela , E. E. Jenkins , A. V. Manohar , L. Merlo

In a recent publication, Cirigliano {\it et al.} [Phys. Rev. Lett. 135, 022501 (2025)] argue that three-nucleon forces (3NFs) involving short-range operators that couple two pions with two nucleons are enhanced beyond what is expected in…

Nuclear Theory · Physics 2026-04-28 E. Epelbaum , A. M. Gasparyan , J. Gegelia , D. Hog , H. Krebs

We summarize the current status of our understanding of nuclear forces based upon chiral symmetry--an idea that was advocated by Gerry Brown already several decades ago.

Nuclear Theory · Physics 2011-10-14 R. Machleidt , D. R. Entem

Renormalization of proton-proton fusion is studied in the framework of chiral effective field theory. Strict perturbative treatment of subleading corrections is applied in the analysis. Possible enhancement of two-nucleon contact axial…

Nuclear Theory · Physics 2022-12-08 Tai-Xing Liu , Rui Peng , Songlin Lyu , Bingwei Long

These are personal recollections of how Gerry Brown's work and thinking influenced the development of the chiral effective Lagrangian based theory of nuclear forces.

Nuclear Theory · Physics 2010-11-08 Ulf-G. Meißner

Recent developments of chiral effective field theory (ChEFT) applications to nuclear and neutron matter are summarized, with special emphasis on a (non-perturbative) extension using functional renormalisation group methods. Topics include:…

Nuclear Theory · Physics 2020-01-08 Wolfram Weise

Within the realm of contact potentials, the key structures intrinsic of nonperturbative renormalization of $T$-matrices are unraveled using rigorous solutions and an inverse form of algebraic Lippmann-schwinger equation. The intrinsic…

High Energy Physics - Theory · Physics 2009-08-12 J. -F. Yang

We derive the long-range contributions to the tree-nucleon force at next-to-next-to-next-to-leading order in the chiral expansion. We give both momentum and coordinate space representations.

Nuclear Theory · Physics 2008-11-26 V. Bernard , E. Epelbaum , H. Krebs , Ulf-G. Meißner

Low-energy nuclear structure and reactions can be described in a systematically improvable way using the framework of chiral effective field theory. This requires solving the quantum mechanical many-body problem with regularized nuclear…

Nuclear Theory · Physics 2023-12-22 Hermann Krebs , Evgeny Epelbaum

To obtain an understanding of the structure and reactions of nuclear systems from first principles has been a long-standing goal of nuclear physics. In this respect, few- and many-body systems provide a unique laboratory for studying…

Nuclear Theory · Physics 2020-02-27 Maria Piarulli , Ingo Tews

In this short review, I discuss the sensitivity of the generation of the light and the life-relevant elements like carbon and oxygen under changes of the parameters of the Standard Model pertinent to nuclear physics. Chiral effective field…

High Energy Physics - Theory · Physics 2015-05-05 Ulf-G. Meißner

We construct the leading order hyperon-nucleon potential in chiral effective field theory. We show that a good description of the available data is possible and discuss briefly further improvements of this scheme.

Nuclear Theory · Physics 2008-11-26 Henk Polinder , Johann Haidenbauer , Ulf-G. Meißner

The chiral effective field theory (ChEFT) is an extension of the chiral perturbation theory that includes the nuclear forces and weak currents at the hadronic and nuclear scales. We propose a systematic framework of parametrising the…

High Energy Physics - Phenomenology · Physics 2025-01-27 Hao Sun , Yi-Ning Wang , Jiang-Hao Yu

We investigate the parity-violating analyzing power in neutron capture on the proton at thermal energies in the framework of chiral effective field theory. By combining this analysis with a previous analysis of parity violation in…

Nuclear Theory · Physics 2015-06-15 J. de Vries , N. Li , Ulf-G. Meißner , A. Nogga , E. Epelbaum , N. Kaiser

The leading divergences of the generating functional for Green functions of quark currents between one--nucleon states are calculated with heat kernel techniques. The results allow for a chiral invariant renormalization of all two--nucleon…

High Energy Physics - Phenomenology · Physics 2009-10-28 G. Ecker

The desirability of evaluating the effective potential in field theories near a phase transition has been recognized in a number of different areas. We show that recent Monte Carlo simulations for the probability distribution for the order…

Statistical Mechanics · Physics 2011-05-12 Joseph Rudnick , William Lay , David Jasnow