Quantum stability of a new Proca theory

Rham, Claudia de; Heisenberg, Lavinia; Kumar, Ankip; Zosso, Jann

doi:10.1103/physrevd.105.024033

Cited by 11 publications

(11 citation statements)

References 39 publications

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“…Separately, neither (B. 19) nor (B.24) vanish at leading order in (∇A)/Λ 2 . However, when adding these two contributions, we get a cancellation at leading order, ⇒ H…”

Section: B2 Null Eigenvector On a Dynamical Backgroundmentioning

confidence: 95%

“…and it is clear that (B. 19) does not vanish at leading order in the operator expansion. The previous result is surprising in itself and indeed the same occurs for GP at precisely the same level.…”

Section: B2 Null Eigenvector On a Dynamical Backgroundmentioning

confidence: 99%

“…The proposed example thus provides a proof of principle that a heathy candidate for the Big Bang history of our Universe can be accommodated within EPN. This model does not rely on the presence of any cosmological constant, but rather with the presence of non-trivial Proca field self-interactions that enter at a technically natural scale [19].…”

Section: Special Model Without Non-minimal Couplingsmentioning

confidence: 99%

“…The NEV V * µ defined in (3. 19) is now embedded in a higher-dimensional vector V = (V * µ , 0) where the null entries run through the metric components. We have proven that H (n) αβ V α = 0 for n = 1, ..., 3 on a non-dynamical background.…”

Section: B2 Null Eigenvector On a Dynamical Backgroundmentioning

confidence: 99%

“…Similarly to their scalar-tensor counterparts, generalized vector-tensor theories have been shown to exhibit intriguing phenomenological properties in astrophysical systems [1][2][3][4][5][6][7] and cosmology [8][9][10][11][12][13][14][15][16][17]. In the latter case, of particular interest, is the fact that a time-dependent vector condensate could behave as a dark energy fluid, driving the observed accelerated cosmic expansion in the present-day universe, with a technically natural vector mass and dark energy scale [18,19].…”

Section: Introductionmentioning

confidence: 99%

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Cosmology of Extended Proca-Nuevo

de Rham,

Garcia-Saenz,

Heisenberg

et al. 2021

Preprint

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Proca-Nuevo is a non-linear theory of a massive spin-1 field which enjoys a non-linearly realized constraint that distinguishes it among other generalized vector models. We show that the theory may be extended by the addition of operators of the Generalized Proca class without spoiling the primary constraint that is necessary for consistency, allowing to interpolate between Generalized Proca operators and Proca-Nuevo ones. The constraint is maintained on flat spacetime and on any fixed curved background. Upon mixing extended Proca-Nuevo dynamically with gravity, we show that the constraint gets broken in a Planck scale suppressed way. We further prove that the theory may be covariantized in models that allow for consistent and ghost-free cosmological solutions. We study the models in the presence of perfect fluid matter, and show that they describe the correct number of dynamical variables and derive their dispersion relations and stability criteria. We also exhibit, in a specific set-up, explicit hot Big Bang solutions featuring a late-time self-accelerating epoch, and which are such that all the stability and subluminality conditions are satisfied and where gravitational waves behave precisely as in General Relativity.

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“…Separately, neither (B. 19) nor (B.24) vanish at leading order in (∇A)/Λ 2 . However, when adding these two contributions, we get a cancellation at leading order, ⇒ H…”

Section: B2 Null Eigenvector On a Dynamical Backgroundmentioning

confidence: 95%

Section: B2 Null Eigenvector On a Dynamical Backgroundmentioning

confidence: 99%

Section: Special Model Without Non-minimal Couplingsmentioning

confidence: 99%

Section: B2 Null Eigenvector On a Dynamical Backgroundmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Cosmology of Extended Proca-Nuevo

de Rham,

Garcia-Saenz,

Heisenberg

et al. 2021

Preprint

Self Cite

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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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Positivity bounds in vector theories

Rham

Engelbrecht

Heisenberg

et al. 2022

J. High Energ. Phys.

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Assuming unitarity, locality, causality, and Lorentz invariance of the, otherwise unknown, UV completion, we derive a new set of constraints on the effective field theory coefficients for the most general, ghost-free Generalized Proca and Proca Nuevo massive vector models. For the Generalized Proca model, we include new interactions that had not been previously considered in the context of positivity bounds and find these additional terms lead to a widened parameter space for the previously considered interactions. Although, the Generalized Proca and Proca Nuevo models are inequivalent, we find interesting analogues between the coefficients parameterizing the two models and the roles they play in the positivity bounds.

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Quantum stability of a new Proca theory

Cited by 11 publications

References 39 publications

Cosmology of Extended Proca-Nuevo

Cosmology of Extended Proca-Nuevo

To Half-Be or Not To Be?

Positivity bounds in vector theories

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