Fermion interactions and universal behavior in strongly interacting theories

By Jens Braun. 2011

253 citations recorded by the source corpus.

The theory of the strong interaction, quantum chromodynamics (QCD), describes the generation of hadronic masses and the state of hadronic matter during the early stages of the evolution of the universe. As a complement, experiments with ultracold fermionic atoms provide a clean environment to benchmark our understanding of dynamical formation of condensates and the generation of bound states in strongly interacting many-body systems. Renormalization Group (RG) techniques offer great potential for theoretical advances in both hot and dense QCD and many-body physics, but their connections have not yet been investigated in great detail. We aim to take a further step to bridge this gap. A cross-fertilization is indeed promising since it may eventually provide us with an ab initio description of hadronization, condensation and bound-state formation in strongly interacting theories. After giving a thorough introduction to the derivation and analysis of fermionic RG flows, we give an introductory review of our present understanding of universal long-range behavior in various different theories, ranging from non-relativistic many-body problems to relativistic gauge theories, with an emphasis on scaling behavior of physical observables close to quantum phase transitions (i.e. phase transitions at zero temperature) as well as thermal phase transitions.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/363215584220274cf89be366f63fcd997ef70d5b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. A. Eichhorn
2. L. Canet
3. V. Skokov
4. W. Metzner
5. N. Dupuis
6. Jan M. Pawlowski
7. M. Tissier
8. Kenji Fukushima

In Nuclear and High Energy Physics

1. A. Eichhorn
2. V. Skokov
3. W. Metzner
4. M. Tissier
5. N. Dupuis
6. N. Wschebor
7. L. Canet
8. Jan M. Pawlowski

Citations in the corpus

• The nonperturbative functional renormalization group and its applications (2020, background): “, [70, 977, 978]) and gauge sector [758, 1255, 1279–1284], and in a unimodular setting in [1285].”
• Polyakov loop modeling for hot QCD (2017, background): “In this context readers may want to consult review articles on condensed matter physics aspects of chiral symmetry in QCD [24, 25].”
• An Asymptotically Safe Guide to Quantum Gravity and Matter (2018, unknown): “For general introductions and reviews (see Berges et al., 2002; Polonyi, 2003; Pawlowski, 2007; Rosten, 2010; Braun, 2012; Delamotte, 2012; Gies, 2012, for gravity, see Reuter and Saueressig, 2012; Nink et al., 2013; Ashtekar et al., 2014; Percacci, 2017; Eichhorn, 2018a).”