Numerical analysis of discretized N = (2,2) SYM on polyhedra

Syo Kamata; So Matsuura; Tatsuhiro Misumi; Kazutoshi Ohta

Numerical analysis of discretized N = (2,2) SYM on polyhedra

Syo Kamata
, So Matsuura
, Tatsuhiro Misumi
, Kazutoshi Ohta

研究成果: Conference article › 査読

抄録

We perform a numerical simulation of the two-dimensional N = (2,2) supersymmetric Yang- Mills (SYM) theory on the discretized curved space. TheU(1)_A anomaly of the continuum theory is maintained also in the discretized theory as an unbalance of the number of the fermions. In the process, we propose a new phase-quenched approximation, which we call the "anomaly-phasequenched (APQ) method", to make the partition function and observables well-defined by U(1)_A phase cancellation. By adopting APQ method, we estimate the Ward-Takahashi identity for exact SUSY on lattice and clarify contribution of the pseudo zero-modes to the pfaffian phase.

本文言語	English
ジャーナル	Proceedings of Science
巻	Part F128557
出版ステータス	Published - 2016
イベント	34th Annual International Symposium on Lattice Field Theory, LATTICE 2016 - Southampton, United Kingdom 継続期間: 2016 7月 24 → 2016 7月 30

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title = "Numerical analysis of discretized N = (2,2) SYM on polyhedra",

abstract = "We perform a numerical simulation of the two-dimensional N = (2,2) supersymmetric Yang- Mills (SYM) theory on the discretized curved space. TheU(1)A anomaly of the continuum theory is maintained also in the discretized theory as an unbalance of the number of the fermions. In the process, we propose a new phase-quenched approximation, which we call the {"}anomaly-phasequenched (APQ) method{"}, to make the partition function and observables well-defined by U(1)A phase cancellation. By adopting APQ method, we estimate the Ward-Takahashi identity for exact SUSY on lattice and clarify contribution of the pseudo zero-modes to the pfaffian phase.",

author = "Syo Kamata and So Matsuura and Tatsuhiro Misumi and Kazutoshi Ohta",

note = "Publisher Copyright: {\textcopyright} Copyright owned by the author(s).; 34th Annual International Symposium on Lattice Field Theory, LATTICE 2016 ; Conference date: 24-07-2016 Through 30-07-2016",

year = "2016",

language = "English",

volume = "Part F128557",

journal = "Proceedings of Science",

issn = "1824-8039",

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TY - JOUR

T1 - Numerical analysis of discretized N = (2,2) SYM on polyhedra

AU - Kamata, Syo

AU - Matsuura, So

AU - Misumi, Tatsuhiro

AU - Ohta, Kazutoshi

N1 - Publisher Copyright: © Copyright owned by the author(s).

PY - 2016

Y1 - 2016

N2 - We perform a numerical simulation of the two-dimensional N = (2,2) supersymmetric Yang- Mills (SYM) theory on the discretized curved space. TheU(1)A anomaly of the continuum theory is maintained also in the discretized theory as an unbalance of the number of the fermions. In the process, we propose a new phase-quenched approximation, which we call the "anomaly-phasequenched (APQ) method", to make the partition function and observables well-defined by U(1)A phase cancellation. By adopting APQ method, we estimate the Ward-Takahashi identity for exact SUSY on lattice and clarify contribution of the pseudo zero-modes to the pfaffian phase.

AB - We perform a numerical simulation of the two-dimensional N = (2,2) supersymmetric Yang- Mills (SYM) theory on the discretized curved space. TheU(1)A anomaly of the continuum theory is maintained also in the discretized theory as an unbalance of the number of the fermions. In the process, we propose a new phase-quenched approximation, which we call the "anomaly-phasequenched (APQ) method", to make the partition function and observables well-defined by U(1)A phase cancellation. By adopting APQ method, we estimate the Ward-Takahashi identity for exact SUSY on lattice and clarify contribution of the pseudo zero-modes to the pfaffian phase.

UR - https://www.scopus.com/pages/publications/85025825036

UR - https://www.scopus.com/pages/publications/85025825036#tab=citedBy

M3 - Conference article

AN - SCOPUS:85025825036

SN - 1824-8039

VL - Part F128557

JO - Proceedings of Science

JF - Proceedings of Science

T2 - 34th Annual International Symposium on Lattice Field Theory, LATTICE 2016

Y2 - 24 July 2016 through 30 July 2016

ER -

Numerical analysis of discretized N = (2,2) SYM on polyhedra

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