Auxiliary counterterms provide exact cutoff independence in EFTs but encode no new physics and aid renormalization consistency and convergence.
Effective Field Theory for Few-Nucleon Systems
5 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We review the effective field theories (EFTs) developed for few-nucleon systems. These EFTs are controlled expansions in momenta, where certain (leading-order) interactions are summed to all orders. At low energies, an EFT with only contact interactions allows a detailed analysis of renormalization in a non-perturbative context and uncovers novel asymptotic behavior. Manifestly model-independent calculations can be carried out to high orders, leading to high precision. At higher energies, an EFT that includes pion fields justifies and extends the traditional framework of phenomenological potentials. The correct treatment of QCD symmetries ensures a connection with lattice QCD. Several tests and prospects of these EFTs are discussed.
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The manifestly Lorentz-invariant chiral EFT potential at NLO, treated non-perturbatively, yields a reasonable description of low-energy NN phase shifts and deuteron properties.
Hartree-Fock upper bounds on lattice Hamiltonians show two-nucleon potentials do not yield accurate nuclear binding, while three-nucleon potentials saturate binding energy per nucleon through dense lattice packing rather than repulsion.
Pionless EFT calculations find unexpectedly small O(alpha) Coulomb corrections to three-nucleon magnetic moments and GT matrix elements, yielding a fitted prediction for the proton-proton fusion reduced matrix element of 2.776(331).
Review of confining dark sectors summarizing dark matter candidates, abundance mechanisms, discovery channels, and applications to the abundance similarity puzzle.
citing papers explorer
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Auxiliary counterterms and their role in effective field theory
Auxiliary counterterms provide exact cutoff independence in EFTs but encode no new physics and aid renormalization consistency and convergence.
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Nucleon-nucleon scattering up to next-to-leading order in manifestly Lorentz-invariant chiral effective field theory: low phases and the deuteron
The manifestly Lorentz-invariant chiral EFT potential at NLO, treated non-perturbatively, yields a reasonable description of low-energy NN phase shifts and deuteron properties.
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Saturation of Nuclear Binding from Lattice Hamiltonians
Hartree-Fock upper bounds on lattice Hamiltonians show two-nucleon potentials do not yield accurate nuclear binding, while three-nucleon potentials saturate binding energy per nucleon through dense lattice packing rather than repulsion.
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Coulomb Corrections to Three-Nucleon Moments
Pionless EFT calculations find unexpectedly small O(alpha) Coulomb corrections to three-nucleon magnetic moments and GT matrix elements, yielding a fitted prediction for the proton-proton fusion reduced matrix element of 2.776(331).
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Rich Phenomenology from Simple Ingredients: A Review of Confining Dark Sectors
Review of confining dark sectors summarizing dark matter candidates, abundance mechanisms, discovery channels, and applications to the abundance similarity puzzle.