Renormalization group flow in large Nc

Solvability, consistency, and the renormalization group in large-Nc models of hadrons.

We establish the following fundamentals about Lagrangian models of meson-baryon interactions in the large-Nc limit: 1. Calculating the leading-order contribution to 1-meson/2-baryon Green’s functions in the 1/Nc expansion involves summing an infinite class of divergent Feynman diagrams. So long as the bare Lagrangian properly obeys all large-Nc selection rules, this all-loops resummation is acc...

From effective Lagrangians, to chiral bags, to Skyrmions with the large-Nc renormalization group.

We explicitly relate effective meson-baryon Lagrangian models, chiral bags, and Skyrmions in the following way. First, effective Lagrangians are constructed in a manner consistent with an underlying large-Nc QCD. An infinite set of graphs dress the bare Yukawa couplings at leading order in 1/Nc, and are summed using semiclassical techniques. What emerges is a picture of the large-Nc baryon remi...

Renormalization Group Flow in Algebraic Holography

The remarkable scaling properties of the AdSCFT correspondence[5] have been proven extremely useful as a calculational device for the scaling behaviour of holographic pairs, known as the Holographic Renormalization Group (RG). In this communication, the aforementioned scaling properties will be studied in a somewhat different context. We’ll adopt the formalism of Local Quantum Physics[1], in te...

On Renormalization Group Flow In Matrix Model

The renormalization group flow recently found by Brézin and Zinn-Justin by integrating out redundant entries of the (N+1)×(N+1) Hermitian random matrix is studied. By introducing explicitly the RG flow parameter, and adding suitable counter terms to the matrix potential of the one matrix model, we deduce some interesting properties of the RG trajectories. In particular, the string equation for ...

Renormalization Group Renormalization Group