On free Lie algebras and particles in electro-magnetic fields

被引：36
|
作者：
Gomis, Joaquim [1 ,2 ]
Kleinschmidt, Axel [3 ,4 ]
机构：
[1] Univ Barcelona, Dept Fis Quant & Astrof, Marti i Franques 1, E-08028 Barcelona, Spain
[2] Univ Barcelona, Inst Ciencies Cosmos ICCUB, Marti i Franques 1, E-08028 Barcelona, Spain
[3] Albert Einstein Inst, Max Planck Inst Gravitat Phys, Muhlenberg 1, DE-14476 Potsdam, Germany
[4] Int Solvay Inst, ULB Campus Plaine CP231, BE-1050 Brussels, Belgium
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2017年 / 07期
关键词：
Global Symmetries; Space-Time Symmetries; Sigma Models; GROUP-THEORETICAL ANALYSIS; ELEMENTARY-PARTICLES; DUALITY ROTATIONS; CONSTANT; E-11;
D O I：
10.1007/JHEP07(2017)085
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：
The Poincare algebra can be extended (non-centrally) to the Maxwell algebra and beyond. These extensions are relevant for describing particle dynamics in electromagnetic backgrounds and possibly including the backreaction due the presence of multi poles. We point out a relation of this construction to free Lie algebras that gives a unified description of all possible kinematic extensions, leading to a symmetry algebra that we call Maxwell(infinity). A specific dynamical system with this infinite symmetry is constructed and analysed.
引用
收藏
页数：29
相关论文
共 50 条
  • [1] On free Lie algebras and particles in electro-magnetic fields
    Joaquim Gomis
    Axel Kleinschmidt
    [J]. Journal of High Energy Physics, 2017
  • [2] Ballistic dynamics of Dirac particles in electro-magnetic fields
    Mehringer, Josef
    Stockmeyer, Edgardo
    [J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2015, 92 : 465 - 482
  • [3] Simulations of non-stationary magnetic reconnection in Lie-transported electro-magnetic fields
    Rastatter, L
    Hornig, G
    [J]. PHYSICA SCRIPTA, 1998, T74 : 40 - 45
  • [4] Electro-magnetic fields and plasma in the cosmos
    Scott, Donald E.
    [J]. 1st Crisis in Cosmology Conference, CCC-I, 2006, 822 : 266 - 274
  • [5] New indeterminacy properties of the electro-magnetic fields
    Jordan, P.
    Fock, V.
    [J]. ZEITSCHRIFT FUR PHYSIK, 1930, 66 (3-4): : 206 - 209
  • [6] MODULATION OF DISUSE BY PULSED ELECTRO-MAGNETIC FIELDS
    PEAD, MJ
    SKERRY, TM
    LANYON, LE
    [J]. JOURNAL OF BONE AND JOINT SURGERY-BRITISH VOLUME, 1988, 70 (03): : 495 - 495
  • [7] MEDICAL ASPECTS OF OVEREXPOSURES TO ELECTRO-MAGNETIC FIELDS
    Hocking, B.
    [J]. INTERNAL MEDICINE JOURNAL, 2012, 42 : 24 - 24
  • [8] A perceptive multirobot system for monitoring electro-magnetic fields
    Amigoni, F
    Caglioti, V
    Fontana, G
    [J]. 2004 IEEE SYMPOSIUM ON VIRTUAL ENVIRONMENTS, HUMAN-COMPUTRE INTERFACES AND MEASUREMENT SYSTEMS, 2004, : 95 - 100
  • [9] Rheological characterization of complex fluids in electro-magnetic fields
    Balan, C.
    Broboana, Diana
    Gheorghiu, E.
    Velas, L.
    [J]. JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2008, 154 (01) : 22 - 30
  • [10] ON THE ANALYSIS AND CALCULATION OF STATIC ELECTRO-MAGNETIC MULTIPOLE FIELDS
    JIYE, X
    WENXIONG, C
    [J]. OPTIK, 1980, 57 (02): : 259 - 286
12345