Direct computational approach to lattice supersymmetric quantum mechanics

被引:6
|
作者
Kadoh, Daisuke [1 ]
Nakayama, Katsumasa [2 ,3 ]
机构
[1] Keio Univ, Res & Educ Ctr Nat Sci, Yokohama, Kanagawa 2238521, Japan
[2] Nagoya Univ, Dept Phys, Nagoya, Aichi 4648602, Japan
[3] High Energy Accelerator Res Org KEK, KEK Theory Ctr, Tsukuba, Ibaraki 3050801, Japan
关键词
WESS-ZUMINO MODEL; WZ MODEL; BREAKING; SIMULATION; SYMMETRY;
D O I
10.1016/j.nuclphysb.2018.05.012
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We study the lattice supersymmetric models numerically using the transfer matrix approach. This method consists only of deterministic processes and has no statistical uncertainties. We improve it by performing a scale transformation of variables such that the Witten index is correctly reproduced from the lattice model, and the other prescriptions are shown in detail. Compared to the precious Monte-Carlo results, we can estimate the effective masses, SUSY Ward identity and the cut-off dependence of the results in high precision. Those kinds of information are useful in improving lattice formulation of supersymmetric models. (C) 2018 The Authors. Published by Elsevier B.V.
引用
收藏
页码:278 / 297
页数:20
相关论文
共 50 条
  • [31] Computational Weld Mechanics - Towards a simplified and cost effective approach for large welded structures
    Barsoum, Zuheir
    Bhatti, Ayjwat A.
    Balawi, Shadi
    ICSI 2015 THE 1ST INTERNATIONAL CONFERENCE ON STRUCTURAL INTEGRITY FUNCHAL, 2015, 114 : 62 - 69
  • [32] A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics
    Kerfriden, P.
    Goury, O.
    Rabczuk, T.
    Bordas, S. P. A.
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2013, 256 : 169 - 188
  • [33] Hybrid Quantum Mechanics/Molecular Mechanics/Coarse Grained Modeling: A Triple-Resolution Approach for Biomolecular Systems
    Sokkar, Pandian
    Boulanger, Eliot
    Thiel, Walter
    Sanchez-Garcia, Elsa
    JOURNAL OF CHEMICAL THEORY AND COMPUTATION, 2015, 11 (04) : 1809 - 1818
  • [34] Ultrasonicated Direct Chill Clad Casting of Magnesium Alloy: A Computational Approach
    Kunal Chopra
    A. K. Prasada Rao
    Transactions of the Indian Institute of Metals, 2019, 72 : 3027 - 3033
  • [35] Ultrasonicated Direct Chill Clad Casting of Magnesium Alloy: A Computational Approach
    Chopra, Kunal
    Rao, A. K. Prasada
    TRANSACTIONS OF THE INDIAN INSTITUTE OF METALS, 2019, 72 (12) : 3027 - 3033
  • [36] Foundations of Quantum Mechanics and Quantum Computation
    Aspect, Alain
    THEORY OF THE QUANTUM WORLD, 2013, : 21 - 90
  • [37] Superintegrability with third order integrals of motion, cubic algebras, and supersymmetric quantum mechanics. I. Rational function potentials
    Marquette, Ian
    JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (01)
  • [38] Lorentz quantum mechanics
    Zhang, Qi
    Wu, Biao
    NEW JOURNAL OF PHYSICS, 2018, 20
  • [39] Biorthogonal quantum mechanics
    Brody, Dorje C.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2014, 47 (03)
  • [40] 15N NMR Shifts of Eumelanin Building Blocks in Water: A Combined Quantum Mechanics/Statistical Mechanics Approach
    Assis Oliveira, Leonardo Bruno
    L. Fonseca, Tertius
    Cabral, Benedito J. C.
    MOLECULES, 2020, 25 (16):