Article ; Online: Topological Equivalence Theorem and Double-Copy for Chern–Simons Scattering Amplitudes
Research, Vol
2023 Volume 6
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 ... ...
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 → 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 → 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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Keywords | Science ; Q |
Subject code | 539 |
Language | English |
Publishing date | 2023-01-01T00:00:00Z |
Publisher | American Association for the Advancement of Science |
Document type | Article ; Online |
Database | BASE - Bielefeld Academic Search Engine (life sciences selection) |
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