A ug 1 99 9 Field - Theoretical Analysis of Singularities at Critical End Points ⋆
نویسنده
چکیده
Continuummodels with critical end points are considered whose HamiltonianH[φ,ψ] depends on two densities φ and ψ. Field-theoretic methods are used to show the equivalence of the critical behavior on the critical line and at the critical end point and to give a systematic derivation of critical-end-point singularities like the thermal singularity ∼ |t|2−α of the spectator-phase boundary and the coexistence singularities ∼ |t|1−α or ∼ |t| of the secondary density 〈ψ〉. The appearance of a discontinuity eigenexponent associated with the critical end point is confirmed, and the mechanism by which it arises in field theory is clarified.
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