Generalized SU(2) Proca theory reconstructed and beyond

Cadavid, Alexander Gallego; Rodríguez, Yeinzon; Gómez, L. Gabriel

doi:10.1103/physrevd.102.104066

Cited by 19 publications

(17 citation statements)

References 115 publications

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“…[61] The theory was reconstructed in ref. [57] finding in turn the beyond Proca SU(2) terms. The action of the theory is the following…”

Section: The Gsu2p and The Scenario To Studymentioning

confidence: 74%

“…[55] since several of the removed redundant terms did not satisfy this secondary constraint-enforcing relation, forcing the authors of ref. [57] to reconstruct the theory from scratch. Anyway, removing these terms before covariantizing implied the lost of information since some of them are not redundant anymore in curved spacetime and, indeed, are intimately related to what are called the beyond Proca SU(2) terms.…”

Section: The Gsu2p and The Scenario To Studymentioning

confidence: 99%

“…The notation here has been changed a bit with respect to that in ref. [57] in order to make things clearer: B, instead of A, stands for the vector field, A stands for the unnormalized antisymmetrization of ∇ 𝜇 B a 𝜈 , and S stands for its unnormalized symmetrization.…”

Section: The Gsu2p and The Scenario To Studymentioning

confidence: 99%

“…Of course, this is more than what is required in a perturbative analysis but perfectly fits our intention of easying the work and uncovering some interesting aspects of the dynamics that are likely present in the most general situation. At such, this paper becomes a proof of concept of what we expect to find when the GSU2P be enlarged with new terms and the coupling constants be replaced by general coupling functions (the GSU2P [55,57] was partially constructed because of the difficulty at handling hundreds of Lorentz-invariant and SU(2) groupinvariant Lagrangian building blocks).…”

Section: Introductionmentioning

confidence: 96%

“…[56] and for a short review see ref. [31]) which was later on reconstructed [57] to take into account not only the primary constraints but also the secondary constraints that close the constraint algebra [58,59] (see also ref. [60]).…”

Section: Introductionmentioning

confidence: 99%

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Constant‐Roll Inflation in the Generalized SU(2) Proca Theory

et al. 2022

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The generalized SU(2) Proca theory (GSU2P) is a variant of the well known generalized Proca theory where the vector field belongs to the Lie algebra of the SU(2) group of global transformations under which the action is made invariant. New interesting possibilities arise in this framework because of the existence of new interactions of purely non-Abelian character and new configurations of the vector field resulting in spatial spherical symmetry and the cosmological dynamics being driven by the propagating degrees of freedom. We study the 2D phase space of the system that results when the cosmic triad configuration is employed in the Friedmann-Lemaitre-Robertson-Walker background and find an attractor curve whose attraction basin both covers almost all the allowed region and does not include a Big-Bang singularity. Such an attractor curve corresponds to a primordial inflationary solution that has the following characteristic properties: 1) it is a de Sitter solution whose Hubble parameter is regulated by a generalized version of the SU(2) group coupling constant, 2) it is constant-roll including, as a limiting case, the slow-roll variety, 3) a number of e-folds N > 60 is easily reached, 4) it has a graceful exit into a radiation dominated period powered by the canonical kinetic term of the vector field and the Einstein-Hilbert term. The free parameters of the action are chosen such that the tensor sector of the theory is the same as that of general relativity at least up to second-order perturbations, thereby avoiding the presence of ghost and Laplacian instabilities in the tensor sector as well as making the gravity waves propagate at light speed. This is a proof of concept of the interesting properties that could be found in this scenario when the coupling constants be replaced by general coupling functions and more terms be discovered in the GSU2P.

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“…[61] The theory was reconstructed in ref. [57] finding in turn the beyond Proca SU(2) terms. The action of the theory is the following…”

Section: The Gsu2p and The Scenario To Studymentioning

confidence: 74%

Section: The Gsu2p and The Scenario To Studymentioning

confidence: 99%

Section: The Gsu2p and The Scenario To Studymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

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Constant‐Roll Inflation in the Generalized SU(2) Proca Theory

et al. 2022

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To Half-Be or Not To Be?

Rham

García-Sáenz

Heisenberg

et al. 2023

J. High Energ. Phys.

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It has recently been argued that half degrees of freedom could emerge in Lorentz and parity invariant field theories, using a non-linear Proca field theory dubbed Proca-Nuevo as a specific example. We provide two proofs, using the Lagrangian and Hamiltonian pictures, that the theory possesses a pair of second class constraints, leaving D − 1 degrees of freedom in D spacetime dimensions, as befits a consistent Proca model. Our proofs are explicit and straightforward in two dimensions and we discuss how they generalize to an arbitrary number of dimensions. We also clarify why local Lorentz and parity invariant field theories cannot hold half degrees of freedom.

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On sufficient conditions for degrees of freedom counting of multi-field generalised Proca theories

Janaun,

Vanichchapongjaroen

2024

Gen Relativ Gravit

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Generalized SU(2) Proca theory reconstructed and beyond

Cited by 19 publications

References 115 publications

Constant‐Roll Inflation in the Generalized SU(2) Proca Theory

Constant‐Roll Inflation in the Generalized SU(2) Proca Theory

To Half-Be or Not To Be?

On sufficient conditions for degrees of freedom counting of multi-field generalised Proca theories

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