Complex-mass scheme and effective field theory

A momentum subtraction scheme for two–nucleon effective field theory

We introduce a momentum subtraction scheme which obeys the power counting of Kaplan, Savage, and Wise (KSW), developed for systems with large scattering lengths, a. Unlike the power divergence subtraction scheme, coupling constants in this scheme obey the KSW scaling for all μR > 1/a. We comment on the low-energy theorems derived by Cohen and Hansen. We conclude that there is no obstruction to ...

Renormalization and Effective Field Theory

Effective Field Theory

Attempts to apply effective field theory (EFT) methods to nonrelativistic nucleon-nucleon (N N) scattering have raised questions about the nature and limitations of an EFT expansion when used nonperturbatively. We discuss the characteristics of a meaningful EFT analysis and compare them with traditional approaches to N N scattering. A key feature of an EFT treatment is a systematic expansion in...

Effective Field Theory ∗ † ‡

3 " Integrating Out " versus " Matching " 19 3.

Effective β-functions for Effective Field Theory

We consider the problem of determining the beta-functions for any reduced effective field theory. Even though not all the Green’s functions of a reduced effective field theory are renormalizable, unlike the full effective field theory, certain effective beta-functions for the reduced set of couplings may be calculated without having to introduce vertices in the Feynman rules for redundant opera...