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Gauge invariant double copy of Yang-Mills theory: The quartic theory

Dec 8, 2022

39 pages

Published in:

Phys.Rev.D 107 (2023) 12, 126015

Published: Jun 15, 2023

e-Print:

2212.04513 [hep-th]

DOI:

10.1103/PhysRevD.107.126015 (publication)

Report number:

HU-EP-22/41-RTG

View in:

ADS Abstract Service

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Abstract: (APS)

We give an explicit gauge invariant, off-shell, and local double copy construction of gravity from Yang-Mills theory to quartic order. To this end we use the framework of homotopy algebras, and we identify a rich new algebraic structure associated with color-stripped Yang-Mills theory. This algebra, which is a generalization of a Batalin-Vilkovisky algebra, is the underlying structure necessary for double copy. We give a self-contained introduction into these algebras by illustrating them for Chern-Simons theory in three dimensions. We then construct

N = 0

supergravity in the form of double field theory in terms of the algebraic Yang-Mills building blocks to quartic order in interactions. As applications of the same universal formula, we rederive the four-graviton scattering amplitude and compute a chiral form of the Courant algebroid gauge structure of double field theory.

Note:

30 pages plus appendix and references. Published version

gauge field theory: Yang-Mills
invariance: gauge
off-shell
double field theory
homotopy
supergravity
graviton: scattering amplitude
Chern-Simons term
algebra: Batalin-Vilkovisky

References(49)

Figures(0)

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