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2018

Baryonic states in supersymmetric Yang-Mills theory

Ali, Sajid, Bergner, Georg, Gerber, Henning et al.

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In $\mathcal{N}$=1 supersymmetric Yang-Mills theory the superpartner of the gluon is the gluino, which is a spin 1/2 Majorana particle in the adjoint representation of the gauge group.

Combining three gluinos, it is possible to form colour neutral bound states, analogous to baryons in QCD.
The correlation functions of the corresponding baryonic operators contain a contribution represented by a `sunset diagram', and in addition, unlike in QCD, another contribution represented by a `spectacle diagram'.
We present first results from an implementation and calculation of these objects, obtained from numerical simulations of supersymmetric Yang-Mills theory.

Baryonic states in supersymmetric Yang-Mills theory · Around

Built on

G. Veneziano and S. Yankielowicz, An effective Lagrangian for the pure 𝒩 = 1 \mathcal{N}=1 supersymmetric Yang-Mills theory
1982
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E. Witten, Constraints on Supersymmetry Breaking
1982
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G. Curci and G. Veneziano, Supersymmetry and the lattice: a reconciliation?
1987
Earlier work this paper cites.
D. Amati, K. Konishi, Y. Meurice, G. C. Rossi and G. Veneziano, Nonperturbative aspects in supersymmetric gauge theories
1988
Earlier work this paper cites.
I. Montvay and G. Münster, Quantum Fields on a Lattice
1994
Earlier work this paper cites.

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G. Bergner, P. Giudice, I. Montvay, G. Münster and S. Piemonte, The light bound states of supersymmetric SU(2) Yang-Mills theory
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S. Ali, G. Bergner, H. Gerber, P. Giudice, I. Montvay, G. Münster, S. Piemonte and P. Scior, Analysis of Ward identities in supersymmetric Yang–Mills theory
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S. Ali, G. Bergner, H. Gerber, P. Giudice, I. Montvay, G. Münster, S. Piemonte and P. Scior, The light bound states of 𝒩 = 1 \mathcal{N}=1 supersymmetric SU ( 3 ) \text{SU}(3) Yang-Mills theory on the lattice
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