# BRST-Lagrangian Double Copy of Yang-Mills Theory.

@article{Borsten2020BRSTLagrangianDC, title={BRST-Lagrangian Double Copy of Yang-Mills Theory.}, author={Leron Borsten and Branislav Jur{\vc}o and Hyungrok Kim and Tommaso Macrelli and Christian Saemann and Martin Wolf}, journal={arXiv: High Energy Physics - Theory}, year={2020} }

We show that the double copy of gauge theory amplitudes to $\mathcal{N}=0$ supergravity amplitudes extends from tree level to loop level. We first explain that color-kinematic duality is a condition for the Becchi-Rouet-Stora-Tyutin operator and the action of a field theory with cubic interaction terms to double copy to a consistent gauge theory. We then apply this argument to Yang-Mills theory, where color-kinematic duality is known to be satisfied onshell at tree level. Finally, we show that… Expand

#### 14 Citations

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We present a six-dimensional $\mathcal{N}=(1,0)$ supersymmetric higher gauge theory in which self-duality is consistently implemented by physically trivial Lagrange multipliers. The action contains… Expand

New heavenly double copies

- Physics, Mathematics
- Journal of High Energy Physics
- 2020

Abstract
The double copy relates scattering amplitudes and classical solutions in Yang-Mills theory, gravity, and related field theories. Previous work has shown that this has an explicit… Expand

Kerr-Schild double copy of the Coulomb solution in three dimensions

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While the Kerr-Schild double copy of the Coulomb solution in dimensions higher than three is the Schwarzschild black hole, it is known that it should be a non-vacuum solution in three dimensions. We… Expand

Tree-Level Color-Kinematics Duality Implies Loop-Level Color-Kinematics Duality

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We show that tree-level color–kinematics (CK) or Bern–Carrasco–Johansson (BCJ) duality can be enhanced to the loop level for a very general class of field theories. Explicitly, we give a toolkit for… Expand

The Weyl double copy from twistor space

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The Weyl double copy is a procedure for relating exact solutions in biadjoint scalar, gauge and gravity theories, and relates fields in spacetime directly. Where this procedure comes from, and how… Expand

Next-to-MHV Yang-Mills kinematic algebra

- Physics, Mathematics
- Journal of High Energy Physics
- 2021

Abstract
Kinematic numerators of Yang-Mills scattering amplitudes possess a rich Lie algebraic structure that suggest the existence of a hidden infinite-dimensional kinematic algebra. Explicitly… Expand

The double copy: from optics to quantum gravity

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Recently, an intriguing relationship (the "double copy") has been discovered between theories like electromagnetism, and gravity. This potentially gives us a new way to think about gravity, and there… Expand

Gauge × gauge = gravity on homogeneous spaces using tensor convolutions

- Physics, Mathematics
- 2021

L. Borsten, I. Jubb,b,1 V. Makwana, S. Nagy Maxwell Institute for Mathematical Sciences, Department of Mathematics, Heriot-Watt University, Colin Maclaurin Building, Riccarton, Edinburgh EH14 4AS,… Expand

A double copy for asymptotic symmetries in the self-dual sector

- Physics
- 2021

We give a double copy construction for the symmetries of the self-dual sectors of Yang-Mills (YM) and gravity, in the light-cone formulation. We find an infinite set of double copy constructible… Expand

A new gauge-invariant double copy for heavy-mass effective theory

- Physics
- Journal of High Energy Physics
- 2021

Abstract
We propose a new form of the colour-kinematics/double-copy duality for heavy-mass effective field theories, which we apply to construct compact expressions for tree amplitudes with heavy… Expand

#### References

SHOWING 1-10 OF 65 REFERENCES

Perturbative quantum gravity as a double copy of gauge theory.

- Medicine, Physics
- Physical review letters
- 2010

It is conjecture that this duality persists to all quantum loop orders and can thus be used to obtain multiloop gravity amplitudes easily from gauge-theory ones. Expand

N≥4 supergravity amplitudes from gauge theory at one loop

- Physics
- 2011

We expose simple and practical relations between the integrated four- and five-point one-loop amplitudes of $\mathcal{N}\ensuremath{\ge}4$ supergravity and the corresponding (super-)Yang-Mills… Expand

Simplifying multiloop integrands and ultraviolet divergences of gauge theory and gravity amplitudes

- Physics
- 2012

We use the duality between color and kinematics to simplify the construction of the complete four-loop four-point amplitude of N = 4 super-Yang-Mills theory, including the nonplanar contributions.… Expand

Virtual color-kinematics duality: 6-pt 1-loop MHV amplitudes

- Physics
- 2013

A bstractWe study 1-loop MHV amplitudes in $ \mathcal{N} $ = 4 super Yang-Mills theory and in $ \mathcal{N} $ = 8 supergravity. For Yang-Mills we find that the simple form for the full amplitude… Expand

Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure

- Physics
- 2012

We show that the double-copy structure of gravity forbids divergences in pure half-maximal (16 supercharge) supergravity at four and five points at one loop in D<8 and at two loops in D<6. We link… Expand

Gravity as the Square of Gauge Theory

- Physics
- 2010

We explore consequences of the recently discovered duality between color and kinematics, which states that kinematic numerators in a diagrammatic expansion of gauge-theory amplitudes can be arranged… Expand

Color-kinematics duality for pure Yang-Mills and gravity at one and two loops

- Physics
- 2015

We provide evidence in favor of the conjectured duality between color and kinematics for the case of nonsupersymmetric pure Yang-Mills amplitudes by constructing a form of the one-loop four-point… Expand

N >= 4 Supergravity Amplitudes from Gauge Theory at Two Loops

- Physics
- 2012

We present the full two-loop four-graviton amplitudes in N = 4, 5, 6 supergravity. These results were obtained using the double-copy structure of gravity, which follows from the recently conjectured… Expand

Gravity as Gauge Theory Squared: A Ghost Story.

- Physics, Medicine
- Physical review letters
- 2018

The Becchi-Rouet-Stora-Tyutin (BRST) transformations and equations of motion of a gravity-two-form-dilaton system are derived from the product of two Yang-Mills theories in a BRST covariant form, to… Expand

On general BCJ relation at one-loop level in Yang-Mills theory

- Physics
- 2013

A bstractThe tree-level BCJ relations reveal a duality between color and kinematic structure, this can be used to reduce the number of independent color-ordered amplitudes. At one-loop level in… Expand