Renormalization Group Potential for Quasi-One-Dimensional Correlated Systems

Ming-Shyang Chang, Wei Chen, Hsiu-Hau Lin
2005 Progress of Theoretical Physics Supplement  
We studied the correlated quasi-one-dimensional systems by one-loop renormalization group techniques in weak coupling. In contrast to conventional g-ology approach, we formulate the theory in terms of bilinear currents and obtain all possible interaction vertices. Furthermore, the one-loop renormalization group equations are derived by operator product expansions of these currents at short length scale. It is rather remarkable that these coupled non-linear equations, after appropriate
more » ... propriate rescaling, can be casted into potential flows. The existence of what we nicknamed "RG potential" provides a natural explanation of the emergent symmetry enhancement in ladder systems. Further implications arisen from the RG potential are also discussed at the end.
doi:10.1143/ptps.160.79 fatcat:6idy7c4pzzfiff27kuhauz4xdu