Abstract

The physical particles in supersymmetric Yang-Mills (SYM) theory are bound states of gluons and gluinos. We have determined the masses of the lightest bound states in SU(3) N=1 SYM theory. Our simulations cover a range of different lattice spacings, which for the first time allows an extrapolation to the continuum limit. Our results show the formation of a supermultiplet of bound states, which provides a clear evidence for unbroken supersymmetry.

Highlights

  • Our results show the formation of a supermultiplet of bound states, which provides a clear evidence for unbroken supersymmetry

  • As supersymmetry is explicitly broken by any lattice discretization [5,6,7,8], it is a challenging task to show that the bound states masses are consistent with the formation of supermultiplets in the continuum limit

  • In this Letter, we focus on the spectrum of bound states of the N 1⁄4 1 supersymmetric Yang-Mills theory with gauge group SU(3)

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Summary

Introduction

The physical particles in supersymmetric Yang-Mills (SYM) theory are bound states of gluons and gluinos. We have determined the masses of the lightest bound states in SU(3) N 1⁄4 1 SYM theory. Our simulations cover a range of different lattice spacings, which for the first time allows an extrapolation to the continuum limit.

Results
Conclusion

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