Year: 2004
Type: article
Abstract: We study non-Fermi liquid effects due to the exchange of unscreened magnetic gluons in the normal phase of high density QCD by using an effective field theory. A one-loop calculation gives the well-known result that magnetic gluons lead to a logarithmic enhancement in the fermion self-energy near the Fermi surface. The self-energy is of the form $\ensuremath{\Sigma}(\ensuremath{\omega})\ensuremath{\sim}\ensuremath{\omega}\ensuremath{\gamma}\mathrm{log}(\ensuremath{\omega})$, where $\ensuremath{\omega}$ is the energy of the fermion, $\ensuremath{\gamma}=O({g}^{2})$, and $g$ is the coupling constant. Using an analysis of the Dyson-Schwinger equations we show that, in the weak coupling limit, this result is not modified by higher order corrections even in the regime where the logarithm is large, $\ensuremath{\gamma}\mathrm{log}(\ensuremath{\omega})\ensuremath{\sim}1$. We also show that this result is consistent with the renormalization group equation in the high density effective field theory.
Authors: Thomas Schäfer, Kai Schwenzer
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2048520476