2020/08/13 by Jens Braun, Timon Dörnfeld, Benedikt Schallmo +1
Earth and Planetary Sciences · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Diquark #Functional renormalization group #High-pressure geophysics and materials #Instability #Mathematical physics #Particle physics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Regularization (linguistics) #Renormalization #Renormalization group #Statistical physics #Theoretical physics #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.104.096002
19 pages, 3 figures
arxiv created 2020/08/13 · openalex publication_date 2021/11/02 · arxiv updated 2021/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Dense relativistic matter has attracted a lot of attention over many decades now, with a focus on an understanding of the phase structure and thermodynamics of dense strong-interaction matter. The analysis of dense strong-interaction matter is complicated by the fact that the system is expected to undergo a transition from a regime governed by spontaneous chiral symmetry breaking at low densities to a regime governed by the presence of a Cooper instability at intermediate and high densities. Renormalization group (RG) approaches have played and still play a prominent role in studies of dense matter, in general. In the present work, we study RG flows of dense relativistic systems in the presence of a Cooper instability and analyze the role of the Silver-Blaze property. In particular, we critically assess how to apply the derivative expansion to study dense-matter systems in a systematic fashion. This also involves a detailed discussion of regularization schemes. Guided by these formal developments, we introduce a new class of regulator functions for functional RG studies which is suitable to deal with the presence of a Cooper instability in relativistic theories. We close by demonstrating its application with the aid of a simple quark-diquark model.