Wilson-Kadanoff Renormalization Group in Higher Orders: One-Dimensional g-ology Model as an Example

Details Wilson-Kadanoff Renormalization Group in Higher Orders: One-Dimensional g-ology Model as an Example Wilson-Kadanoff Renormalization Group in Higher Orders: One-Dimensional g-ology Model as an Example

2002-12-19

arxiv.org/abs/cond-mat/0212493v1

Nucl.Phys. B663 (2003) 568-590

Physics

Condensed Matter

Strongly Correlated Electrons

21 pages, 5 figures

Scientific paper

10.1016/S0550-3213(03)00379-1

We apply the standard Wilson-Kadanoff (WK) momentum-space Renormalization Group (RG) scheme for the g-ology model of one-dimensional fermions. By explicitly carrying out calculations at the two-loop level, we show how the RG flow equations can be derived from the summation of the cascades of contractions generated by the effective action's mode elimination at each infinitesimal step of the WK procedure. The rules for selecting these series of cascades appear naturally as a consequence of the WK scheme ``on-shell'' kinematic constraints and conservation laws. The relation between the present RG approach and the field-theoretic schemes used in earlier related studies is analysed. Generalizations for other models and/or higher dimensions are formulated.

Affiliated with

Also associated with

No associations

Rating

Wilson-Kadanoff Renormalization Group in Higher Orders: One-Dimensional g-ology Model as an Example does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Wilson-Kadanoff Renormalization Group in Higher Orders: One-Dimensional g-ology Model as an Example, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wilson-Kadanoff Renormalization Group in Higher Orders: One-Dimensional g-ology Model as an Example will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-330113