Regensburg 2016 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 44: Critical Phenomena and Phase Transitions

DY 44.3: Vortrag

Mittwoch, 9. März 2016, 16:00–16:15, H47

Analytical continuation of perturbation series in the context of phase transitions — •Sören Sanders — Institut für Physik, Carl von Ossietzky Universität - D-26111 Oldenburg, Germany

Critical phenomena occuring at continuous phase transitions render a (low-order) perturbative description invalid; to obtain knowledge beyond the phase transition an analytical continuation is required. A recently proposed scheme to obtain nonperturbative physics from low-order perturbation theory utilizing hypergeometric functions [1] is applied in this context [2] and shown to vastly outperform well-established methods such as Shanks transformation and Padé approximation.

[1] H. Mera, T. G. Pedersen, and B. K. Nikolić, Phys. Rev. Lett. 115 (2015) 143001. [2] S. Sanders, C. Heinisch and M. Holthaus, EPL, 11 (2015) 20002.