An, Xin; Mesterhazy, David; Stephanov, Mikhail (22 January 2018). Critical fluctuations and complex spinodal points. In: Critical Point and Onset of Deconfinement. Trieste, Italy: Sissa Medialab 10.22323/1.311.0040

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The experimental signatures of the QCD critical point rely on the universal singular behavior of the equation of state at the critical point. Therefore, we study singularities of the universal scaling equation of state of the f4 theory, or the Ising model. We focus on the relation between spinodal points that limit the domain of metastability for temperatures below the critical temperature, i.e., T < Tc, and LeeYang edge singularities that limit the domain of analyticity around the point of zero magnetic field H for T > Tc. The extended analyticity conjecture (due to Fonseca and Zamolodchikov) that for T < Tc the LeeYang edge singularities are the closest singularities to the real H axis have interesting implications, in particular, that the spinodal singularities do not lie on the real H axis. We find that the Ising model parametric equation of state obtained in the e = 4d expansion, as well as the related O(N) model equation of state at large N, are both nontrivially consistent with this conjecture, and analyze the reason for the difficulty of addressing this question using the eexpansion. In particular, we resolve the longstanding paradox associated with the fact that the vicinity of the LeeYang edge singularity is described by Fisher’s f3 theory, which is nonperturbative even for d > 4 where the equation of state of the f4 theory is expected to become meanfieldlike. We derive the Ginzburg criterion that determines the size of the region around the LeeYang edge singularity, where the meanfield theory no longer applies.
Item Type: 
Conference or Workshop Item (Paper) 

Division/Institute: 
10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC) 08 Faculty of Science > Institute of Theoretical Physics 
UniBE Contributor: 
Mesterhazy, David 
Subjects: 
500 Science > 530 Physics 
Publisher: 
Sissa Medialab 
Language: 
English 
Submitter: 
Esther Fiechter 
Date Deposited: 
07 Aug 2018 12:50 
Last Modified: 
24 Oct 2019 15:28 
Publisher DOI: 
10.22323/1.311.0040 
BORIS DOI: 
10.7892/boris.119118 
URI: 
https://boris.unibe.ch/id/eprint/119118 