Fourier coefficients of the net baryon number density and their scaling properties near a phase transition

Understand

We study the Fourier coefficients b(k,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 b(k,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.