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Q4: Supersymmetric Field Theories

Principal Investigators: Ammon, Gies, Novak, Wipf

Supersymmetric field theories are a fundamental ingredient of almost all physical models beyond the standard model of particle physics and play a decisive role in modern quantum field theory. Interesting recent analytical results on strongly coupled gauge theories led to new and surprising insights into the unsolved confinement-problem. Formulating supersymmetric theories on a space time lattice without breaking all supersymmetries and simulating these theories with dynamical fermions in a challenging problem.

further information (german)

Examples of Ph.D. topics

  1. CPN-Modelle mit Fermionen
  2. Supersymmetrische Flussgleichungen für supersymmetrische Eichtheorien
  3. Gittereichtheorien mit minimal und supersymmetrisch gekoppelten Fermionen


M. Heilmann, T. Hellwig, B. Knorr, M. Ansorg, A. Wipf
Convergence of derivative expansion in supersymmetric functional RG flows
JHEP 02, 109

R. Flore, D. Körner, A. Wipf, C. Wozar
Supersymmetric Nonlinear O(3) Sigma Model on the Lattice
JHEP 11 (2012) 159, arXiv:1207.6947v1 [hep-lat], Jul 2012

T. Fischbacher, F. Synatschke-Czerwonka
FlowPy - a numerical solver for functional renormalization group equations
Comput.Phys.Commun. 184 (2013) 1931-1945, arXiv:1202.5984 [physics.comp-ph], Feb 2012

D. Litim, M. Mastaler, F. Synatschke-Czerwonka, A. Wipf
Critical behavior of supersymmetric O(N) models in the large-N limit
Phys. Rev. D 84, 125009 (2011)

C. Wozar, A. Wipf
Supersymmetry Breaking in Low Dimensional Models
Annals Phys. 327 (2012) 774-807, arXiv:1107.3324 [hep-lat], Jul 2011

F. Synatschke-Czerwonka, T. Fischbacher, G. Bergner
The two dimensional N=(2,2) Wess-Zumino Model in the Functional Renormalization Group Approach
Phys.Rev. D82 (2010) 085003 arXiv:1006.1823v1 [hep-th], Jun 2010

F. Synatschke, J. Braun, A. Wipf
N=1 Wess Zumino Model in d=3 at zero and finite temperature
Phys. Rev. D81 (2010) 125001

F. Synatschke, H. Gies, A. Wipf
Phase Diagram and Fixed-Point Structure of two dimensional N=1 Wess-Zumino Models
Phys.Rev.D80:085007, 2009

H. Gies, F. Synatschke, A. Wipf
Supersymmetry breaking as a quantum phase transition
Phys.Rev.D80:101701, 2009

F. Synatschke, H. Gies, A. Wipf
The Phase Diagram for Wess-Zumino Models
arXiv: 0909.4189 [hep-th], Sep 2009