Abstract
We study the Fourier coefficients bk(T) of the net baryon number density in strongly interacting matter at finite temperature. We show that singularities in the complex chemical potential plane connected with phase transitions are reflected in the asymptotic behavior of the coefficients at large k. We derive the scaling properties of bk(T) near a second order phase transition in the O(4) and Z(2) universality classes. The impact of first order and crossover transitions is also examined. The scaling properties of bk(T) are linked to the QCD phase diagram in the temperature and complex chemical potential plane.
Highlights
h is the strength of the external symmetry-breaking field while α
Fourier decomposition is a useful technique for exploring characteristic features of a system
μ B has been discussed as a tool which connects thermodynamic quantities
Summary
Fourier decomposition is a useful technique for exploring characteristic features of a system. Transition, in which case the density is analytic along the integration path, there are singularities in the complex chemical potential plane, which do affect the behavior of the Fourier coefficients. First we study the Fourier expansion of the net baryon density in the Landau theory of the phase transitions, in order to illustrate in a transparent framework how critical singularities in the complex chemical potential plane are reflected in the Fourier coefficients. For physical quark masses, the O (4) chiral transition is of the crossover type In this case the critical singularities are located in the complex μ B plane and the k dependence of the Fourier coefficients bk(T ) corresponds to damped oscillations superimposed on a power-law dependence. The damping rate is determined by the real and the oscillation frequency by the imaginary part of the baryon chemical potential at the crossover branch point singularity.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
