On dynamical realizations of l-conformal Galilei groups

被引:24
|
作者
Andrzejewski, K. [1 ]
Gonera, J. [1 ]
Kosinski, P. [1 ]
Maslanka, P. [1 ]
机构
[1] Univ Lodz, Dept Theoret Phys & Comp Sci, PL-90236 Lodz, Poland
关键词
KINEMATICAL INVARIANCE GROUP; PHENOMENOLOGICAL LAGRANGIANS; NONLINEAR REALIZATIONS; SYMMETRY; MECHANICS; GEOMETRY; ALGEBRA; SYSTEMS; SCALE;
D O I
10.1016/j.nuclphysb.2013.07.026
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 consider the dynamics invariant under the action of l-conformal Galilei group using the method of nonlinear realizations. We find that by an appropriate choice of the coset space parametrization one can achieve the complete decoupling of the equations of motion. The Lagrangian and Hamiltonian are constructed. The results are compared with those obtained by Galajinsky and Masterov (2013) [14]. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:309 / 321
页数:13
相关论文
共 50 条
  • [11] Casimir operators of centrally extended l-conformal Galilei algebra
    Galajinsky, Anton
    Masterov, Ivan
    NUCLEAR PHYSICS B, 2019, 943
  • [12] Coset spaces and Einstein manifolds with l-conformal Galilei symmetry
    Chernyavsky, Dmitry
    NUCLEAR PHYSICS B, 2016, 911 : 471 - 479
  • [13] Ricci-flat spacetimes with l-conformal Galilei symmetry
    Chernyavsky, D.
    Galajinsky, A.
    PHYSICS LETTERS B, 2016, 754 : 249 - 253
  • [14] Representations of l-conformal Galilei algebra and hierarchy of invariant equation
    Aizawa, N.
    Kimura, Y.
    Segar, J.
    8TH INTERNATIONAL SYMPOSIUM ON QUANTUM THEORY AND SYMMETRIES (QTS8), 2014, 512
  • [15] Nonrelativistic conformal groups and their dynamical realizations
    Andrzejewski, K.
    Gonera, J.
    Maslanka, P.
    PHYSICAL REVIEW D, 2012, 86 (06):
  • [16] Lagrangian formulation for perfect fluid equations with the l-conformal Galilei symmetry
    Snegirev, Timofei
    PHYSICAL REVIEW D, 2024, 110 (04)
  • [17] Remark on higher-derivative mechanics with l-conformal Galilei symmetry
    Masterov, Ivan
    JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (09)
  • [18] Intertwining operators for l-conformal Galilei algebras and hierarchy of invariant equations
    Aizawa, N.
    Kimura, Y.
    Segar, J.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2013, 46 (40)
  • [19] Hamiltonian formulation for perfect fluid equations with the l-conformal Galilei symmetry
    Snegirev, Timofei
    JOURNAL OF GEOMETRY AND PHYSICS, 2023, 192
  • [20] Chiral and real N=2 supersymmetric l-conformal Galilei algebras
    Aizawa, N.
    Kuznetsova, Z.
    Toppan, F.
    JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (09)