Chern-Simons improved Hamiltonians for strings in three space dimensions

被引:4
|
作者
Gordeli, Ivan [1 ]
Melnikov, Dmitry [1 ,2 ]
Niemi, Antti J. [3 ,4 ,5 ]
Sedrakyan, Ara [1 ,6 ]
机构
[1] Univ Fed Rio Grande do Norte, Int Inst Phys, Campus Univ,Caixa Postal 1613, BR-59078970 Natal, RN, Brazil
[2] Inst Theoret & Expt Phys, B Cheremushkinskaya 25, Moscow 117218, Russia
[3] Uppsala Univ, Dept Phys & Astron, POB 803, S-75108 Uppsala, Sweden
[4] Univ Tours, CNRS, UMR 6083, Lab Math & Phys Theor,Federat Denis Poisson, Parc Grandmont, F-37200 Tours, France
[5] Beijing Inst Technol, Sch Phys, Beijing 100081, Peoples R China
[6] Yerevan Phys Inst, Alikhanian Bros St 2, Yerevan 36, Armenia
关键词
LEAPFROGGING VORTEX RINGS; GRAVITY;
D O I
10.1103/PhysRevD.94.021701
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In the case of a structureless string the extrinsic curvature and torsion determine uniquely its shape in three-dimensional ambient space, by way of solution of the Frenet equation. In many physical scenarios there are in addition symmetries that constrain the functional form of the ensuing energy function. For example, the energy of a structureless string should be independent of the way the string is framed in the Frenet equation. Thus the energy should only involve the curvature and torsion as dynamical variables, in a manner that resembles the Hamiltonian of the Abelian Higgs model. Here we investigate the effect of symmetry principles in the construction of Hamiltonians for structureless strings. We deduce from the concept of frame independence that in addition to extrinsic curvature and torsion, the string can also engage a three-dimensional Abelian bulk gauge field as a dynamical variable. We find that the presence of a bulk gauge field gives rise to a long-range interaction between different strings. Moreover, when this gauge field is subject to Chern-Simons self-interaction, it becomes plausible that interacting strings are subject to fractional statistics in three space dimensions.
引用
收藏
页数:6
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