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

Preview

Text LATTICE 2015_239.pdf - Published Version Available under License Creative Commons: Attribution-Noncommercial-No Derivative Works (CC-BY-NC-ND). Download (515kB) | Preview

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.

Interest & Impact

Downloads

239 since deposited on 30 Sep 2016
16 in the past 12 months

Citations

5 Citations in Web of Science ®
6 Citations in Scopus

Search

in Google Scholar™

Services

Actions (login required)

Edit item

Actions (login required)

Edit item