Topological Equivalence Theorem and Double-Copy for Chern-Simons Scattering Amplitudes.
Research (Wash D C)
; 6: 0072, 2023.
Article
em En
| MEDLINE
| ID: mdl-38178901
ABSTRACT
We study the mechanism of topological mass generation for 3-dimensional Chern-Simons gauge theories and propose a brand-new topological equivalence theorem to connect scattering amplitudes of the physical gauge boson states to that of the transverse states under high-energy expansion. We prove a general energy cancelation mechanism for N-point physical gauge boson amplitudes, which predicts large cancelations of E4 - L â E(4 - L) - N at any L-loop level (L ⩾ 0). We extend the double-copy approach to construct massive graviton amplitudes and to study their structures. We newly uncovered a series of strikingly large energy cancelations E12 â E1 of the tree-level 4-graviton scattering amplitude under high-energy expansion and establish a new correspondence between the 2 energy cancelations in the topologically massive Yang-Mills gauge theory and the topologically massive gravity theory. We further study the scattering amplitudes of Chern-Simons gauge bosons and gravitons in the nonrelativistic limit.
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Base de dados:
MEDLINE
Idioma:
En
Revista:
Research (Wash D C)
Ano de publicação:
2023
Tipo de documento:
Article
País de afiliação:
China