Supercomputers against strong coupling in gravity with curvature and torsion

被引:10
|
作者
Barker, W. E. V. [1 ,2 ]
机构
[1] Cavendish Lab, Astrophys Grp, JJ Thomson Ave, Cambridge CB3 0HE, England
[2] Kavli Inst Cosmol, Madingley Rd, Cambridge CB3 0HA, England
来源
EUROPEAN PHYSICAL JOURNAL C | 2023年 / 83卷 / 03期
基金
英国工程与自然科学研究理事会; 英国科学技术设施理事会;
关键词
POINCARE GAUGE-THEORY; FUNDAMENTAL PARTICLES; HAMILTONIAN ANALYSIS; FIELD-THEORY; LAGRANGIANS; SPIN; SYMMETRIES; EQUATIONS; DYNAMICS; PACKAGE;
D O I
10.1140/epjc/s10052-023-11179-6
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
Many theories of gravity are spoiled by strongly coupled modes: the high computational cost of Hamiltonian analysis can obstruct the identification of these modes. A computer algebra implementation of the Hamiltonian constraint algorithm for curvature and torsion theories is presented. These non-Riemannian or Poincare gauge theories suffer notoriously from strong coupling. The implementation forms a package (the 'Hamiltonian Gauge Gravity Surveyor' - HiGGS) for the xAct tensor manipulation suite in Mathematica. Poisson brackets can be evaluated in parallel, meaning that Hamiltonian analysis can be done on silicon, and at scale. Accordingly HiGGS is designed to survey the whole Lagrangian space with high-performance computing resources (clusters and supercomputers). To demonstrate this, the space of 'outlawed' Poincare gauge theories is surveyed, in which a massive parity-even/odd vector or parity-odd tensor torsion particle accompanies the usual graviton. The survey spans possible configurations of teleparallel-style multiplier fields which might be used to kill-off the strongly coupled modes, with the results to be analysed in subsequent work. All brackets between the known primary and secondary constraints of all theories are made available for future study. Demonstrations are also given for using HiGGS - on a desktop computer - to run the Dirac-Bergmann algorithm on specific theories, such as Einstein-Cartan theory and its minimal extensions.
引用
收藏
页数:31
相关论文
共 50 条
  • [1] Renormalizability of the Dirac equation in torsion gravity with nonminimal coupling
    Fabbri, Luca
    Vignolo, Stefano
    Carloni, Sante
    PHYSICAL REVIEW D, 2014, 90 (02):
  • [2] Dynamical torsion gravity backgrounds
    Spindel, Philippe
    PHYSICAL REVIEW D, 2021, 103 (12)
  • [3] Thermodynamics in Modified Gravity with Curvature Matter Coupling
    Sharif, M.
    Zubair, M.
    ADVANCES IN HIGH ENERGY PHYSICS, 2013, 2013
  • [4] Nonlinearly ghost-free higher curvature gravity
    Aoki, Katsuki
    PHYSICAL REVIEW D, 2020, 102 (12)
  • [5] The gauge structure of strong coupling gravity
    Niedermaier, Max
    CLASSICAL AND QUANTUM GRAVITY, 2015, 32 (01)
  • [6] Sources of torsion in Poincare gauge gravity
    Wheeler, James T.
    EUROPEAN PHYSICAL JOURNAL C, 2023, 83 (07):
  • [7] Beyond Einstein-Cartan gravity: quadratic torsion and curvature invariants with even and odd parity including all boundary terms
    Baekler, Peter
    Hehl, Friedrich W.
    CLASSICAL AND QUANTUM GRAVITY, 2011, 28 (21)
  • [8] PALATINI FORMULATION OF MODIFIED GRAVITY WITH A NON-MINIMAL CURVATURE-MATTER COUPLING
    Harko, Tiberiu
    Koivisto, Tomi S.
    Lobo, Francisco S. N.
    MODERN PHYSICS LETTERS A, 2011, 26 (20) : 1467 - 1480
  • [9] Testing an inflationary era in curvature-matter coupling gravity
    Baffou, E. H.
    Houndjo, M. J. S.
    Ahloui, F. K.
    Kanfon, D. A.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2021, 30 (16):
  • [10] A MINIMAL MODEL OF LORENTZ GAUGE GRAVITY WITH DYNAMICAL TORSION
    Cho, Y. M.
    Pak, D. G.
    Park, B. S.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2010, 25 (14): : 2867 - 2882