Nonperturbative regularization and renormalization : simple examples from nonrelativistic quantum mechanics
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TL;DR: In this paper, the authors compare the results obtained using dimensional regularization and cutoff regularization, and show that in certain cases, dimensional regularisation fails to reproduce the result obtained using cutoff regularisation.
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About: This article is published in Annals of Physics. The article was published on 01 Mar 1998. and is currently open access. The article focuses on the topics: Dimensional regularization & Zeta function regularization.
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Citations
Modern theory of nuclear forces
TL;DR: In this article, the nuclear forces can be derived using effective chiral Lagrangians consistent with the symmetries of QCD, and the status of the calculations for two and three nucleon forces and their applications in few-nucleon systems are reviewed.
Chiral effective field theory and nuclear forces
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Few-nucleon forces and systems in chiral effective field theory
Evgeny Epelbaum,Evgeny Epelbaum +1 more
TL;DR: In this paper, the structure of the nuclear force in the framework of chiral effective field theory of QCD and its applications to processes involving few nucleons are discussed. But they do not consider the nuclear forces in terms of the number of nucleons.
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Effective field theory of short-range forces
U. van Kolck,U. van Kolck +1 more
TL;DR: In this paper, the authors developed effective field theories (EFTs) for the scattering of two particles at wavelengths which are large compared to the range of their interaction, and showed that the renormalized EFT is equivalent to the effective range expansion, to a Schrodinger equation with a pseudo-potential, and to an energy expansion of a generic boundary condition at the origin.
473
References
Regularization and Renormalization of Gauge Fields
Gerard 't Hooft,M.J.G. Veltman +1 more
TL;DR: In this article, a new regularization and renormalization procedure for gauge theories is presented, which is particularly well suited for the treatment of gauge theories and is transparent when anomalies such as the Bell-Jackiw-Adler anomaly may occur.
5K
•Book
Solvable Models in Quantum Mechanics
Sergio Albeverio
- 01 Jan 1988
TL;DR: The one-center point interaction as discussed by the authors is a special case of the Coulomb point interaction, where Coulomb plus one center point interaction in three dimensions plus Coulomb and one center interaction in two dimensions.
2.1K
Lower Limit for the Energy Derivative of the Scattering Phase Shift
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Nuclear forces from chiral Lagrangians
TL;DR: In this paper, the consequences of spontaneously broken chiral symmetry for the forces among two or more nucleons were derived using phenomenological lagrangians, and the results were used to derive the consequences for the chiral forces among nucleons.
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Effective chiral lagrangians for nucleon-pion interactions and nuclear forces
TL;DR: In this paper, Weinberg et al. used the chiral invariant effective lagrangians to study the leading terms in powers of momenta in the S-matrix for a process involving arbitrary numbers of low-momentum pions and nucleons.
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