TL;DR
This paper reviews recent advances in strongly interacting field theories at non-zero chemical potential, focusing on the QCD critical point, superfluidity in Two Color QCD, and Fermi surface effects in the NJL model, with insights on superconductivity and the sign problem.
Contribution
It synthesizes recent research developments in non-zero chemical potential theories, highlighting key findings and open questions in the field.
Findings
Identification of the QCD critical endpoint in the (mu,T) plane
Observation of superfluid condensates in Two Color QCD
Analysis of Fermi surface effects in the NJL model
Abstract
I review recent developments in the study of strongly interacting field theories with non-zero chemical potential mu. In particular I focus on (a) the determination of the QCD critical endpoint in the (mu,T) plane; (b) superfluid condensates in Two Color QCD; and (c) Fermi surface effects in the NJL model. Some remarks are made concerning the relation of superconductivity with the sign problem.
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