A systematic procedure to build the beyond generalized Proca field theory

Cadavid, Alexander Gallego; Rodríguez, Yeinzon

doi:10.1016/j.physletb.2019.134958

Cited by 23 publications

(15 citation statements)

References 100 publications

(154 reference statements)

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“…The screening of the GP "fifth force" was considered in [19,47]. Beyond-GP interactions were considered in [48][49][50] and could potentially lead to remarkable effects on deficit angles [51] and cosmology [52]. The related question of interactions within the context of tensor-vector theories was explored in [53].…”

Section: Introductionmentioning

confidence: 99%

New class of Proca interactions

Rham

Pozsgay

2020

Phys. Rev. D

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We propose a new class of Proca interactions that enjoy a nontrivial constraint and hence propagates the correct number of degrees of freedom for a healthy massive spin-1 field. We show that the scattering amplitudes always differ from those of the Generalized Proca. This implies that the new class of interactions proposed here are genuinely different from the Generalized Proca and there can be no local field redefinitions between the two. In curved spacetime, massive gravity is the natural covariantization, but we show how other classes of covariantizations can be considered.

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Section: Introductionmentioning

confidence: 99%

New class of Proca interactions

Rham

Pozsgay

2020

Phys. Rev. D

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“…(3.27) 6 One can see that the generalized hedgehog ansatz consist in expressing the SU(2) left-invariant forms in terms of Euler angles [77].…”

Section: Einstein Equationsmentioning

confidence: 99%

“…The study of massive vector fields dates back to the seminal paper of Proca [1], in which the analogue of the Klein-Gordon equation for a spin-1 field was constructed. The Proca field can be consistently coupled to gravity, leading to the Einstein-Proca theory [2] and generalizations [3][4][5][6], which have received renewed interest in the recent years due to applicability in cosmology and astrophysics (see for example [7][8][9][10][11] and references therein).…”

Section: Introductionmentioning

confidence: 99%

Gravitating Meron-like topological solitons in massive Yang-Mills theory and the Einstein-Skyrme model

Ipinza,

Salgado-Rebolledo

2020

Preprint

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We show that gravitating Merons in D-dimensional massive Yang-Mills theory can be mapped to solutions of the Einstein-Skyrme model. The identification of the solutions relies on the fact that, when considering the Meron ansatz for the gauge connection A = λU −1 dU , the massive Yang-Mills equations reduce to the Skyrme equations for the corresponding group element U . In the same way, the energy-momentum tensors of both theories can be identified and therefore lead to the same Einstein equations. Subsequently, we focus on the SU (2) case and show that introducing a mass for the Yang-Mills field restricts Merons to live on geometries given by the direct product of S 3 (or S 2 ) and Lorentzian manifolds with constant Ricci scalar. We construct explicit examples for D = 4 and D = 5. Finally, we comment on possible generalizations.

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“…One contemplate possibility is (a 2 ) 3 , but such a term will give a six photon vertex that is only relevant to the propagator if taken at 2-loops. One algorithm that describes a similar process, for Proca-electrodynamics, can be found in [34]. Lastly, the most general contribution must include terms composed with the dual field strength fµν but, since we are only interested in the contribution to the massive photon two-point function, they will be zero after we impose momentum conservation at the vertex.…”

Section: Axion-proca Electrodynamicsmentioning

confidence: 99%

Massive photon propagator in the presence of axionic fluctuations

Chrispim,

Bruni,

Guimaraes

2020

Preprint

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The theory of massive photons in the presence of axions is studied as the effective theory describing the electromagnetic response of semimetals when a particular quartic fermionic pairing perturbation triggers the formation of charged chiral condensates, giving rise to an axionic superconductor. We investigate corrections to the Yukawa-like potential mediated by massive photons due to axion excitations up to one-loop order and compute the modifications of the London penetration length.

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A systematic procedure to build the beyond generalized Proca field theory

Cited by 23 publications

References 100 publications

New class of Proca interactions

New class of Proca interactions

Gravitating Meron-like topological solitons in massive Yang-Mills theory and the Einstein-Skyrme model

Massive photon propagator in the presence of axionic fluctuations

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