Loop formulation of supersymmetric Yang-Mills quantum mechanics

Steinhauer, Kyle; Wenger, Urs (2014). Loop formulation of supersymmetric Yang-Mills quantum mechanics. Journal of High Energy Physics, 2014(12) Springer 10.1007/JHEP12(2014)044

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We derive the fermion loop formulation of N=4 supersymmetric SU(N) Yang-Mills quantum mechanics on the lattice. The loop formulation naturally separates the contributions to the partition function into its bosonic and fermionic parts with fixed fermion number and provides a way to control potential fermion sign problems arising in numerical simulations of the theory. Furthermore, we present a reduced fermion matrix determinant which allows the projection into the canonical sectors of the theory and hence constitutes an alternative approach to simulate the theory on the lattice.

Item Type:

Journal Article (Original Article)

Division/Institute:

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

UniBE Contributor:

Steinhauer, Kyle and Wenger, Urs

Subjects:

500 Science > 530 Physics

ISSN:

1029-8479

Publisher:

Springer

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

29 Jan 2015 10:12

Last Modified:

29 Jan 2015 10:12

Publisher DOI:

10.1007/JHEP12(2014)044

BORIS DOI:

10.7892/boris.62298

URI:

https://boris.unibe.ch/id/eprint/62298

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