How to get from imaginary to real chemical potential

Details How to get from imaginary to real chemical potential How to get from imaginary to real chemical potential

2006-10-23

arxiv.org/abs/hep-th/0610243v2

Phys.Rev.D75:025003,2007

Physics

High Energy Physics

High Energy Physics - Theory

revtex, 9 pages, 10 figures; v2: add more references, modify concluding section

Scientific paper

10.1103/PhysRevD.75.025003

Using the exactly solvable Gross-Neveu model as theoretical laboratory, we analyse in detail the relationship between a relativistic quantum field theory at real and imaginary chemical potential. We find that one can retrieve the full information about the phase diagram of the theory from an imaginary chemical potential calculation. The prerequisite is to evaluate and analytically continue the effective potential for the chiral order parameter, rather than thermodynamic observables or phase boundaries. In the case of an inhomogeneous phase, one needs to compute the full effective action, a functional of the space-dependent order parameter, at imaginary chemical potential.

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