Partial self-consistency and analyticity in many-body perturbation theory: Particle number conservation and a generalized sum rule
نویسندگان
چکیده
منابع مشابه
Quantum Many–Body Problems and Perturbation Theory
We show that the existence of algebraic forms of exactly-solvable A−B− C−D and G2, F4 Olshanetsky-Perelomov Hamiltonians allow to develop the algebraic perturbation theory, where corrections are computed by pure algebraic means. A classification of perturbations leading to such a perturbation theory based on representation theory of Lie algebras is given. In particular, this scheme admits an ex...
متن کاملResults on the Analyticity of Many - Body Scattering Amplitudes in Perturbation Theory
The problem of analytic continuation of the many-body scattering amplitude associated with a perturbation-theory diagram under the rotation of the final momenta from real to complex momenta, k -.. (1 + iO)k, is studied. It is shown that the contour of integration over internal momenta can be distorted avoiding singularities of the integrand, as 0 varies for small enough O. If the diagram is con...
متن کاملMany-Body Perturbation Theory: The GW Approximation
c 2006 by John von Neumann Institute for Computing Permission to make digital or hard copies of portions of this work for personal or classroom use is granted provided that the copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. To copy otherwise requires prior specific permission by the publisher mentio...
متن کاملDevelopment of Many-Body Perturbation Theory
The development of standard MBPT for single-reference and multi-reference cases is reviewed, and its extension to the relativistic case in the form of the Dirac-Coulomb-Breit (DCB) approximation is described. The latter scheme is non-covariant, and the recent development of a fully covariant MBPT scheme is discussed. This is based upon a new scheme for quantumelectrodynamical (QED) calculations...
متن کاملGeneralized Gerasimov-Drell-Hearn Sum Rule for the Proton-Neutron Difference in Chiral Perturbation Theory
Applications of the chiral expansion to generalize the Gerasimov-Drell-Hearn sum rule for finite Q are discussed. The observation of several authors, that the corrections to the leading order contributions are large and limit the applicability to a very small range in Q, are only valid when considering the generalization of the sum rule for protons and neutrons, separately. When using the proto...
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: Physical Review B
سال: 2016
ISSN: 2469-9950,2469-9969
DOI: 10.1103/physrevb.94.125124