### Abstract

We report on a study of the supersymmetric anharmonic oscillator computed using a euclidean lattice path integral. Our numerical work utilizes a Fourier accelerated hybrid Monte Carlo scheme to sample the path integral. Using this we are able to measure massgaps and check Ward identities to a precision of better than one percent. We work with a non-standard lattice action which we show has an exact supersymmetry for arbitrary lattice spacing in the limit of zero interaction coupling. For the interacting model we show that supersymmetry is restored in the continuum limit without fine tuning. This is contrasted with the situation in which a 'standard' lattice action is employed. In this case supersymmetry is not restored even in the limit of zero lattice spacing. Finally, we show how a minor modification of our action leads to an exact, local lattice supersymmetry even in the presence of interaction. (C) 2000 Elsevier Science B.V.

Original language | English (US) |
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Pages (from-to) | 349-356 |

Number of pages | 8 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 487 |

Issue number | 3-4 |

DOIs | |

State | Published - Aug 17 2000 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**A lattice path integral for supersymmetric quantum mechanics.** / Catterall, Simon M; Gregory, Eric.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 487, no. 3-4, pp. 349-356. https://doi.org/10.1016/S0370-2693(00)00835-2

}

TY - JOUR

T1 - A lattice path integral for supersymmetric quantum mechanics

AU - Catterall, Simon M

AU - Gregory, Eric

PY - 2000/8/17

Y1 - 2000/8/17

N2 - We report on a study of the supersymmetric anharmonic oscillator computed using a euclidean lattice path integral. Our numerical work utilizes a Fourier accelerated hybrid Monte Carlo scheme to sample the path integral. Using this we are able to measure massgaps and check Ward identities to a precision of better than one percent. We work with a non-standard lattice action which we show has an exact supersymmetry for arbitrary lattice spacing in the limit of zero interaction coupling. For the interacting model we show that supersymmetry is restored in the continuum limit without fine tuning. This is contrasted with the situation in which a 'standard' lattice action is employed. In this case supersymmetry is not restored even in the limit of zero lattice spacing. Finally, we show how a minor modification of our action leads to an exact, local lattice supersymmetry even in the presence of interaction. (C) 2000 Elsevier Science B.V.

AB - We report on a study of the supersymmetric anharmonic oscillator computed using a euclidean lattice path integral. Our numerical work utilizes a Fourier accelerated hybrid Monte Carlo scheme to sample the path integral. Using this we are able to measure massgaps and check Ward identities to a precision of better than one percent. We work with a non-standard lattice action which we show has an exact supersymmetry for arbitrary lattice spacing in the limit of zero interaction coupling. For the interacting model we show that supersymmetry is restored in the continuum limit without fine tuning. This is contrasted with the situation in which a 'standard' lattice action is employed. In this case supersymmetry is not restored even in the limit of zero lattice spacing. Finally, we show how a minor modification of our action leads to an exact, local lattice supersymmetry even in the presence of interaction. (C) 2000 Elsevier Science B.V.

UR - http://www.scopus.com/inward/record.url?scp=0034679979&partnerID=8YFLogxK

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U2 - 10.1016/S0370-2693(00)00835-2

DO - 10.1016/S0370-2693(00)00835-2

M3 - Article

AN - SCOPUS:0034679979

VL - 487

SP - 349

EP - 356

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3-4

ER -