Massless ground state for a compact SU(2) matrix model in 4D

被引:3
|
作者
Boulton, Lyonell [1 ,2 ]
Garcia del Moral, Maria Pilar [3 ]
Restuccia, Alvaro [3 ,4 ]
机构
[1] Heriot Watt Univ, Maxwell Inst Math Sci, Edinburgh EH14 4AS, Midlothian, Scotland
[2] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland
[3] Univ Antofagasta, Dept Fis, Antofagasta 02800, Aptdo, Chile
[4] Univ Simon Bolivar, Dept Fis, Caracas 1080A, Venezuela
关键词
QUANTUM-MECHANICS; BOUND-STATES; SPECTRUM; SUPERMEMBRANE; DISCRETENESS; OPERATORS; THRESHOLD;
D O I
10.1016/j.nuclphysb.2015.07.017
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 show the existence and uniqueness of a massless supersymmetric ground state wavefunction of a SU(2) matrix model in a bounded smooth domain with Dirichlet boundary conditions. This is a gauge system and we provide a new framework to analyze the quantum spectral properties of this class of supersymmetric matrix models subject to constraints which can be generalized for arbitrary number of colors. (C) 2015 Published by Elsevier B.V. This is an open access article under the CC BY license.
引用
收藏
页码:448 / 455
页数:8
相关论文
共 50 条
  • [1] Existence of a supersymmetric massless ground state of the SU(N) matrix model globally on its valleys
    Boulton, Lyonell
    del Moral, Maria Pilar Garcia
    Restuccia, Alvaro
    JOURNAL OF HIGH ENERGY PHYSICS, 2021, 2021 (05)
  • [2] Existence of a supersymmetric massless ground state of the SU(N) matrix model globally on its valleys
    Lyonell Boulton
    María Pilar García del Moral
    Alvaro Restuccia
    Journal of High Energy Physics, 2021
  • [3] The ground state of the D=11 supermembrane and matrix models on compact regions
    Boulton, Lyonell
    Garcia del Moral, Maria Pilar
    Restuccia, Alvaro
    NUCLEAR PHYSICS B, 2016, 910 : 665 - 684
  • [4] Dynamical Lorentz symmetry breaking in a 4D massless four-fermion model
    Assuncao, J. F.
    Mariz, T.
    Nascimento, J. R.
    Petrov, A. Yu.
    PHYSICAL REVIEW D, 2017, 96 (06)
  • [5] Chiral spectrum of the universal tuned (SU(3) × SU(2) × U(1))/ℤ6 4D F-theory model
    Patrick Jefferson
    Washington Taylor
    Andrew P. Turner
    Journal of High Energy Physics, 2023
  • [6] The Ground State Energy of the Massless Spin-Boson Model
    Abdelmalek Abdesselam
    Annales Henri Poincaré, 2011, 12 : 1321 - 1347
  • [7] THE ZAKHAROV SYSTEM IN 4D RADIAL ENERGY SPACE BELOW THE GROUND STATE
    Guo, Zihua
    Nakanishi, Kenji
    AMERICAN JOURNAL OF MATHEMATICS, 2021, 143 (05) : 1527 - 1600
  • [8] The Ground State Energy of the Massless Spin-Boson Model
    Abdesselam, Abdelmalek
    ANNALES HENRI POINCARE, 2011, 12 (07): : 1321 - 1347
  • [9] On 4D, N=1 massless gauge superfields of arbitrary superhelicity
    Gates, S. James, Jr.
    Koutrolikos, Konstantinos
    JOURNAL OF HIGH ENERGY PHYSICS, 2014, (06):
  • [10] Cross section evaluation by spinor integration: The massless case in 4D
    Feng, Bo
    Huang, Rijun
    Jia, Yin
    Luo, Mingxing
    Wang, Honghui
    PHYSICAL REVIEW D, 2010, 81 (01):