Can scalars have asymptotic symmetries?

Campiglia, Miguel; Coito, Leonardo; Mizera, Sebastian

doi:10.1103/physrevd.97.046002

Cited by 67 publications

(93 citation statements)

References 102 publications

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“…Similar cubic bi-adjoint structures have been introduced in the context of color-kinematics duality [17][18][19][20]. Bi-adjoint scalars have also been shown to play a role in the double copy between supersymmetric Yang-Mills theories and supergravities in diverse dimensions [21], in color-kinematic relations for scalar effective field theories [22], and in the context of soft theorems and asymptotic symmetries [23]. Non-perturbative static solutions of the (source free) bi-adjoint field equations have been recently constructed in ref.…”

Section: Introductionmentioning

confidence: 96%

Classical gluon and graviton radiation from the bi-adjoint scalar double copy

2017

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We find double copy relations between classical radiating solutions in Yang-Mills theory coupled to dynamical color charges and their counterparts in a cubic bi-adjoint scalar field theory which interacts linearly with particles carrying bi-adjoint charge. The particular color-to-kinematics replacements we employ are motivated by the BCJ double copy correspondence for on-shell amplitudes in gauge and gravity theories. They are identical to those recently used to establish relations between classical radiating solutions in gauge theory and in dilaton gravity. Our explicit bi-adjoint solutions are constructed to second order in a perturbative expansion, and map under the double copy onto gauge theory solutions which involve at most cubic gluon self-interactions. If the correspondence is found to persist to higher orders in perturbation theory, our results suggest the possibility of calculating gravitational radiation from colliding compact objects, directly from a scalar field with vastly simpler (purely cubic) Feynman vertices.

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Section: Introductionmentioning

confidence: 96%

Classical gluon and graviton radiation from the bi-adjoint scalar double copy

2017

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“…which is the model considered in a similar context in [1,2]. Indeed, the equation for the scalar field is then φ + g 2…”

Section: Introductionmentioning

confidence: 97%

Asymptotic structure of a massless scalar field and its dual two-form field at spatial infinity

Henneaux

Troessaert

2019

J. High Energ. Phys.

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Relativistic field theories with a power law decay in r −k at spatial infinity generically possess an infinite number of conserved quantities because of Lorentz invariance. Most of these are not related in any obvious way to symmetry transformations of which they would be the Noether charges. We discuss the issue in the case of a massless scalar field. By going to the dual formulation in terms of a 2-form (as was done recently in a null infinity analysis), we relate some of the scalar charges to symmetry transformations acting on the 2-form and on surface degrees of freedom that must be added at spatial infinity. These new degrees of freedom are necessary to get a consistent relativistic description in the dual picture, since boosts would otherwise fail to be canonical transformations. We provide explicit boundary conditions on the 2-form and its conjugate momentum, which involves parity conditions with a twist, as in the case of electromagnetism and gravity. The symmetry group at spatial infinity is composed of "improper gauge transformations". It is abelian and infinite-dimensional. We also briefly discuss the realization of the asymptotic symmetries, characterized by a non trivial central extension and point out vacuum degeneracy.1 Earlier investigations of p-forms in 2p + 2 dimensions can be found in [13].

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“…Their relation to asymptotic symmetries were recently suggested [6,7], and are now being being vastly explored (see e.g. the recent review [8] and references therein, as well as the more recent paper [9], which discusses also scalar soft theorems from asymptotic symmetries).…”

Section: Introductionmentioning

confidence: 99%

The B-field soft theorem and its unification with the graviton and dilaton

Vecchia

Marotta

Mojaza

2017

J. High Energ. Phys.

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In theories of Einstein gravity coupled with a dilaton and a two-form, a soft theorem for the two-form, known as the Kalb-Ramond B-field, has so far been missing. In this work we fill the gap, and in turn formulate a unified soft theorem valid for gravitons, dilatons and B-fields in any tree-level scattering amplitude involving the three massless states. The new soft theorem is fixed by means of on-shell gauge invariance and enters at the subleading order of the graviton's soft theorem. In contrast to the subsubleading soft behavior of gravitons and dilatons, we show that the soft behavior of B-fields at this order cannot be fully fixed by gauge invariance. Nevertheless, we show that it is possible to establish a gauge invariant decomposition of the amplitudes to any order in the soft expansion. We check explicitly the new soft theorem in the bosonic string and in Type II superstring theories, and furthermore demonstrate that, at the next order in the soft expansion, totally gauge invariant terms appear in both string theories which cannot be factorized into a soft theorem.

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Can scalars have asymptotic symmetries?

Cited by 67 publications

References 102 publications

Classical gluon and graviton radiation from the bi-adjoint scalar double copy

Classical gluon and graviton radiation from the bi-adjoint scalar double copy

Asymptotic structure of a massless scalar field and its dual two-form field at spatial infinity

The B-field soft theorem and its unification with the graviton and dilaton

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