Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/0406022 · Annals of Physics

Field theory reformulated without self-energy parts: the dressing operator

Michel De Haan

Published Oct 13, 2004• 4 citations
arXivHTMLPDF
DOI
10.1016/j.aop.2004.07.004

Related papers

Field theory reformulated without self-energy parts

Michel De Haan

Physica E Low-dimensional Systems and Nanostructures•Jul 7, 2005•0 citations

Field theory reformulated without self-energy parts. Kinetic extension for the Lee model

Michel De Haan

Annals of Physics•Feb 28, 2004•6 citations

Field theory reformulated without self-energy parts

Michel De Haan

The intuitive description of atomic levels requires the use of renormalized objects, with lifetime and dressed atomic levels. The reformulation of field theory for avoiding self-energy parts in the dynamical evolution enables us to provide such a description outside the scope of the usual quantum mechanics. That approach is illustrated here on a two-level system, interacting with a field, inside and outside the rotating wave approximation (RWA). A kinetic extension of the description is reached, enabling a statistical mixture to change its composition with time. The original reversible description is embedded in the new one and is recovered now from a restricted class of initial conditions. After dressing, the structure of the kinetic operators inside and outside the RWA is now common.

Journal of Modern Optics•Nov 10, 2005•0 citations

Self-consistent quantum-field theory

Springer eBooks•Aug 6, 2007•0 citations

Exact self-energy of the many-body problem from conserving approximations

Yasutami Takada

A procedure is proposed to obtain the exact self-energy in the many-body problem. This algorithm is based on the formal analysis to reach the exact theory by repeated applications of an operator F to an arbitrarily chosen input self-energy represented as a functional of the dressed Green's function. The operator F is so defined that the microscopic conservation law for particle number is satisfied. The rigorous self-energy is obtained by the solution of an eigenfunction of F. Particular attention is paid to the relation between the present procedure and the Baym-Kadanoff framework of conserving approximations. By simplifying the procedure in F with use of the generalized Ward identity, we suggest a practical method to implement this algorithm rather easily in actual systems. In order to suggest future directions to improve on this practical method, the recently developed mean-field theory for the Hubbard model in the limit of high spatial dimensions is also discussed in the context of our theory.

Physical review. B, Condensed matter•Nov 1, 1995•24 citations

A Model of Quantum Field Theory

V. D. Kukin, A. R. Frenkin

Soviet physics. Doklady•Apr 1, 1963•1 citation
The intuitive description of atomic levels requires the use of renormalized objects, with lifetime and dressed atomic levels. The reformulation of field theory for avoiding self-energy parts in the dynamical evolution enables us to provide such a description outside the scope of the usual quantum mechanics. That approach is illustrated here on a two-level system, interacting with a field, inside and outside the rotating wave approximation (RWA). A kinetic extension of the description is reached, enabling a statistical mixture to change its composition with time. The original reversible description is embedded in the new one and is recovered now from a restricted class of initial conditions. After dressing, the structure of the kinetic operators inside and outside the RWA is now common.
A procedure is proposed to obtain the exact self-energy in the many-body problem. This algorithm is based on the formal analysis to reach the exact theory by repeated applications of an operator F to an arbitrarily chosen input self-energy represented as a functional of the dressed Green's function. The operator F is so defined that the microscopic conservation law for particle number is satisfied. The rigorous self-energy is obtained by the solution of an eigenfunction of F. Particular attention is paid to the relation between the present procedure and the Baym-Kadanoff framework of conserving approximations. By simplifying the procedure in F with use of the generalized Ward identity, we suggest a practical method to implement this algorithm rather easily in actual systems. In order to suggest future directions to improve on this practical method, the recently developed mean-field theory for the Hubbard model in the limit of high spatial dimensions is also discussed in the context of our theory.