Heidelberg 2007 – scientific programme

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T: Fachverband Teilchenphysik

T 308: QFT+Kosmologie I

T 308.3: Talk

Wednesday, March 7, 2007, 17:21–17:39, KIP SR 2.403

How to get from imaginary to real chemical potential — •Felix Karbstein und Michael Thies — Universität Erlangen, Erlangen, Deutschland

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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1) How to get from imaginary to real chemical potential. Felix Karbstein, Michael Thies (Erlangen - Nuremberg U., Theorie III) . Oct 2006. 9pp. e-Print Archive: hep-th/0610243