Euclidean lattice simulation for dynamical supersymmetry breaking

Issaku Kanamori, Hiroshi Suzuki, Fumihiko Sugino

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

The global supersymmetry is spontaneously broken if and only if the ground-state energy is strictly positive. We propose to use this fact to observe the spontaneous supersymmetry breaking in Euclidean lattice simulations. For lattice formulations that possess a manifest fermionic symmetry, there exists a natural choice of a Hamiltonian operator that is consistent with a topological property of the Witten index. We confirm validity of our idea in models of the supersymmetric quantum mechanics. We then examine a possibility of a dynamical supersymmetry breaking in the two-dimensional N=(2,2) super Yang-Mills theory with the gauge group SU(2), for which the Witten index is unknown. Differently from a recent conjectural claim, our numerical result tempts us to conclude that supersymmetry is not spontaneously broken in this system.

Original languageEnglish
Article number091502
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume77
Issue number9
DOIs
Publication statusPublished - May 12 2008
Externally publishedYes

Fingerprint

supersymmetry
simulation
Yang-Mills theory
quantum mechanics
formulations
operators
ground state
symmetry
energy

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

Euclidean lattice simulation for dynamical supersymmetry breaking. / Kanamori, Issaku; Suzuki, Hiroshi; Sugino, Fumihiko.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 77, No. 9, 091502, 12.05.2008.

Research output: Contribution to journalArticle

@article{256c07525b1140258788fef9dbe99ebd,
title = "Euclidean lattice simulation for dynamical supersymmetry breaking",
abstract = "The global supersymmetry is spontaneously broken if and only if the ground-state energy is strictly positive. We propose to use this fact to observe the spontaneous supersymmetry breaking in Euclidean lattice simulations. For lattice formulations that possess a manifest fermionic symmetry, there exists a natural choice of a Hamiltonian operator that is consistent with a topological property of the Witten index. We confirm validity of our idea in models of the supersymmetric quantum mechanics. We then examine a possibility of a dynamical supersymmetry breaking in the two-dimensional N=(2,2) super Yang-Mills theory with the gauge group SU(2), for which the Witten index is unknown. Differently from a recent conjectural claim, our numerical result tempts us to conclude that supersymmetry is not spontaneously broken in this system.",
author = "Issaku Kanamori and Hiroshi Suzuki and Fumihiko Sugino",
year = "2008",
month = "5",
day = "12",
doi = "10.1103/PhysRevD.77.091502",
language = "English",
volume = "77",
journal = "Physical Review D - Particles, Fields, Gravitation and Cosmology",
issn = "1550-7998",
number = "9",

}

TY - JOUR

T1 - Euclidean lattice simulation for dynamical supersymmetry breaking

AU - Kanamori, Issaku

AU - Suzuki, Hiroshi

AU - Sugino, Fumihiko

PY - 2008/5/12

Y1 - 2008/5/12

N2 - The global supersymmetry is spontaneously broken if and only if the ground-state energy is strictly positive. We propose to use this fact to observe the spontaneous supersymmetry breaking in Euclidean lattice simulations. For lattice formulations that possess a manifest fermionic symmetry, there exists a natural choice of a Hamiltonian operator that is consistent with a topological property of the Witten index. We confirm validity of our idea in models of the supersymmetric quantum mechanics. We then examine a possibility of a dynamical supersymmetry breaking in the two-dimensional N=(2,2) super Yang-Mills theory with the gauge group SU(2), for which the Witten index is unknown. Differently from a recent conjectural claim, our numerical result tempts us to conclude that supersymmetry is not spontaneously broken in this system.

AB - The global supersymmetry is spontaneously broken if and only if the ground-state energy is strictly positive. We propose to use this fact to observe the spontaneous supersymmetry breaking in Euclidean lattice simulations. For lattice formulations that possess a manifest fermionic symmetry, there exists a natural choice of a Hamiltonian operator that is consistent with a topological property of the Witten index. We confirm validity of our idea in models of the supersymmetric quantum mechanics. We then examine a possibility of a dynamical supersymmetry breaking in the two-dimensional N=(2,2) super Yang-Mills theory with the gauge group SU(2), for which the Witten index is unknown. Differently from a recent conjectural claim, our numerical result tempts us to conclude that supersymmetry is not spontaneously broken in this system.

UR - http://www.scopus.com/inward/record.url?scp=43449121859&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=43449121859&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.77.091502

DO - 10.1103/PhysRevD.77.091502

M3 - Article

AN - SCOPUS:43449121859

VL - 77

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 9

M1 - 091502

ER -