Effective Field Theory for Shallow P-Wave States
نویسندگان
چکیده
We discuss the formulation of a non-relativistic effective field theory for two-body P-wave scattering in presence shallow states and critically address various approaches to renormalization proposed literature. It is demonstrated that consistent involving only finite number parameters well-established formalism with auxiliary dimer fields corresponds inclusion an infinite counterterms contact interactions only. also implications from Wilsonian group analysis scattering.
منابع مشابه
P Renormalizability of Effective Scalar Field Theory
We present a comprehensive discussion of the consistency of the effective quantum field theory of a single Z2 symmetric scalar field. The theory is constructed from a bare Euclidean action which at a scale much greater than the particle’s mass is constrained only by the most basic requirements; stability, finiteness, analyticity, naturalness, and global symmetry. We prove to all orders in pertu...
متن کاملQuartet S Wave Neutron Deuteron Scattering in Effective Field Theory
The real and imaginary part of the quartet S wave phase shift in nd scattering (S3/2) for centre-of-mass momenta of up to 300 MeV (Ecm ≈ 70 MeV) is presented in effective field theory, using both perturbative pions and a theory in which pions are integrated out. As available, the calculation agrees with both experimental data and potential model calculations, but extends to a higher, so far unt...
متن کاملEffective 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...
متن کاملEffective Field Theory for Inflation
The methods of effective field theory are used to study generic theories of inflation with a single inflaton field. For scalar modes, the leading corrections to the R correlation function are found to be purely of the k-inflation type. For tensor modes the leading corrections to the correlation function arise from terms in the action that are quadratic in the curvature, including a parity-viola...
متن کاملEffective 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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Few-body Systems
سال: 2021
ISSN: ['1432-5411', '0177-7963']
DOI: https://doi.org/10.1007/s00601-021-01628-x