SHAPE DYNAMICS AND EFFECTIVE FIELD THEORY

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...

String Field Theory and Perturbative Dynamics of Noncommutative Field Theory

The perturbative dynamics of noncommutative field theory (NCFT) is discussed from a point view of string field theory. As in the commutative case it is inevitable to introduce a closed string, which may be described as a bound state of two open strings. We point out that the closed string, interacting nontrivially with the open string, plays an essential role in the ultraviolet region. The cont...