Witten index and phase diagram of compactified N=1 supersymmetric Yang-Mills theory on the lattice

Bergner, Georg; Giudice, Pietro; Münster, Gernot; Piemonte, Stefano (2016). Witten index and phase diagram of compactified N=1 supersymmetric Yang-Mills theory on the lattice. PoS - proceedings of science, LATTICE2015(239). Scuola Internazionale Superiore di Studi Avanzati SISSA

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Owing to confinement, the fundamental particles of N = 1 Supersymmetric Yang-Mills (SYM) theory, gluons and gluinos, appear only in colourless bound states at zero temperature. Compactifying the Euclidean time dimension with periodic boundary conditions for fermions preserves supersymmetry, and confinement is predicted to persist independently of the length of the compactified dimension. This scenario can be tested non-perturbatively with Monte-Carlo simulations on a lattice. SUSY is, however, broken on the lattice and can be recovered only in the continuum limit. The partition function of compactifiedN =1 SYM theory with periodic fermion boundary conditions corresponds to theWitten index. Therefore it can be used to test whether supersymmetry is realized on the lattice. Results of our recent numerical simulations are presented, supporting the disappearance of the deconfinement transition in the supersymmetric limit and the restoration of SUSY at low energies.

Item Type:

Conference or Workshop Item (Paper)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Bergner, Georg

Subjects:

500 Science > 530 Physics

ISSN:

1824-8039

Publisher:

Scuola Internazionale Superiore di Studi Avanzati SISSA

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

30 Sep 2016 09:44

Last Modified:

30 Sep 2016 09:44

BORIS DOI:

10.7892/boris.88696

URI:

https://boris.unibe.ch/id/eprint/88696

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