Simplicial gauge theory on spacetime

被引:0
|
作者
Tore Gunnar Halvorsen
Torquil Macdonald Sørensen
机构
[1] University of Oslo,Centre of Mathematics for Applications
来源
Numerische Mathematik | 2013年 / 125卷
关键词
35Q40; 65M50; 74S05; 81T13; 81T25;
D O I
暂无
中图分类号
学科分类号
摘要
We define a discrete gauge-invariant Yang–Mills–Higgs action on spacetime cylindrical meshes with simplicial spatial base. The formulation is a generalization of classical lattice gauge theory, and we prove consistency of the action in the finite element sense. In addition, we perform numerical tests of convergence towards exact continuum results for several choices of gauge fields in pure gauge theory.
引用
收藏
页码:733 / 760
页数:27
相关论文
共 50 条
  • [1] Simplicial gauge theory on spacetime
    Halvorsen, Tore Gunnar
    Sorensen, Torquil Macdonald
    [J]. NUMERISCHE MATHEMATIK, 2013, 125 (04) : 733 - 760
  • [2] A simplicial gauge theory
    Christiansen, Snorre H.
    Halvorsen, Tore G.
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (03)
  • [3] Simplicial gauge theory and quantum gauge theory simulation
    Halvorsen, Tore Gunnar
    Sorensen, Torquil Macdonald
    [J]. NUCLEAR PHYSICS B, 2012, 854 (01) : 166 - 183
  • [4] A quantum field theory of simplicial geometry and the emergence of spacetime
    Oriti, Daniele
    [J]. THIRD INTERNATIONAL WORKSHOP DICE2006 - QUANTUM MECHANICS BETWEEN DECOHERENCE AND DETERMINISM: NEW ASPECTS FROM PARTICLE PHYSICS TO COSMOLOGY - CONTRIBUTED PAPERS, 2007, 67
  • [5] Strings and the gauge theory of spacetime defects
    Duan, YS
    Jiang, Y
    [J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1999, 38 (02) : 563 - 573
  • [6] Strings and the Gauge Theory of Spacetime Defects
    Yishi Duan
    Ying Jiang
    [J]. International Journal of Theoretical Physics, 1999, 38 : 563 - 573
  • [7] Observables and gauge invariance in the theory of nonlinear spacetime perturbations
    Bruni, M
    Sonego, S
    [J]. CLASSICAL AND QUANTUM GRAVITY, 1999, 16 (07) : L29 - L36
  • [8] Translation gauge field theory of gravity in Minkowski spacetime
    李航
    王平
    [J]. Chinese Physics C, 2023, (11) : 120 - 130
  • [9] Gauge freedom of Dirac theory in complexified spacetime algebra
    Joyce, WP
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (22): : 4737 - 4747
  • [10] Noncommutative geometry and spacetime gauge symmetries of string theory
    Lizzi, F
    Szabo, RJ
    [J]. CHAOS SOLITONS & FRACTALS, 1999, 10 (2-3) : 445 - 458