SC Zhang的拓扑场论(Topological Field Theory)论文,其中引入Chern-Simons term的有效理论将拓扑绝缘体推广到了4维等更高维度,如前所述,Bernevig & Taylor Hughes的‘Topological Insulator and Superconductor’可以作为这篇文章的补充内容。
2.阿贝尔Chern-Simons理论作用量的性质及其路径积分的定义 考虑一个 3 维的紧致连通时空流形 M ,规范群为 G=U(1) ,规范势 A=A_\mu dx^\mu 是M 上U(1) 主丛或者说 M 上的复线丛联络的表示,它是一个在局部上有定义的实值1-形式。这里强调局部是因为与规范势对应的规范场场强,同时也是该纤维丛上的...
Using a variation of Lueschers geometric charge definition for SU(2) lattice gauge theory, we have managed to give a geometric expression for itu2019s Chern-Simons term. From this definition we have checked the periodic structure. We determined the Chern-Simons density for lattices L4 and L3...
It is shown that topological massive gravity augmented by the triadic gravitational Chern-Simons first order term is a curved a pure spin-2 action. This model contains two massive spin-2 excitations. However, since its light-front energy is not semidefinite positive, this double CS-action does ...
Here, as in (2.15), we can split the entropy current into the contribution coming from the Einstein-Maxwell part of the Lagrangian and the one from the Chern-Simons terms: (J CFT,anom S )µ = (J )anom,Ein-Max Sµ + (J anom,CS S )µ , where the first term vanishes as ...
However, much of this effort has been focused on covariant Lagrangians and much less is understood about Chern-Simons terms (see however [59] for the case of the gravitational Chern-Simons term in AdS3). Some of the questions one would like answered in this context are: • Can one ...
model with the Chern-Simons term, which 5 may be obtained through several steps with the three definitions of the canonical, the total, and the reduced Hamiltonian in the usual Dirac formalism of constrained systems [1]. Furthermore, this model has only four constraints in the symplectic ...
Chern-Simons termWe perform the complete bosonization of 2+1 dimensional QED with one fermionic flavor in the Hamiltonian formalism. The fermion operators are explicitly constructed in terms of the vector potential and the electric field. We carefully specify the regularization procedure involved in ...
而Chern-Simons规范场告诉我们在2+1维时空会出现一种新的相互作用,它由Chern-Simons规范场传递。看来统一所有相互作用的路,真的是未知之数,因为时空维度不同,出现各种相互作用的可能性都会存在,也许对于相互作用的认识人类还远远不足啊。 送TA礼物 1楼2013-10-18 16:37回复 ...
= 1, we get the Chern-Simons term with an undetermined strength c. This completes our argument. We have shown in the functional integration formalism that the (finite) coefficient of the induced, Lorentz- and CPT-violating Chern-Simons term arising from the Lorentz- and CPT-violating ferm...