scholarly journals Multiorbital effects in the functional renormalization group: A weak-coupling study of the Emery model

2013 ◽  
Vol 88 (23) ◽  
Author(s):  
Stefan A. Maier ◽  
Jutta Ortloff ◽  
Carsten Honerkamp
Keyword(s):  
Renormalization Group ◽  
Weak Coupling ◽  
Functional Renormalization Group ◽  
Emery Model ◽  
Group A

scholarly journals A MANIFESTLY GAUGE INVARIANT AND UNIVERSAL CALCULUS FORSU(N) YANG–MILLS

2006 ◽  
Vol 21 (23n24) ◽  
pp. 4627-4761 ◽  
Author(s):  
OLIVER J. ROSTEN
Keyword(s):  
Perturbation Theory ◽  
Renormalization Group ◽  
Explicit Dependence ◽  
Gauge Invariant ◽  
Yang Mills ◽  
Group A ◽  
Β Function ◽  
Exact Renormalization Group

Within the framework of the Exact Renormalization Group, a manifestly gauge invariant calculus is constructed for SU (N) Yang–Mills. The methodology is comprehensively illustrated with a proof, to all orders in perturbation theory, that the β function has no explicit dependence on either the seed action or details of the covariantization of the cutoff. The cancellation of these nonuniversal contributions is done in an entirely diagrammatic fashion.

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