Quantum aspects of massive gravity II: non-Pauli-Fierz theory

Park, Minjoon

doi:10.1007/jhep10(2011)130

Cited by 10 publications

(6 citation statements)

References 27 publications

(38 reference statements)

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“…This can be confirmed using the formula in Ref. [18] for the graviton propagator assuming an arbitrary non-Pauli-Fierz mass term. So, we may still have a massless composite graviton, but at the expense of a composite ghost.…”

Section: A the Meaning Of The Tuningssupporting

confidence: 70%

Composite gravitons from metric-independent quantum field theories

Carone

2019

Mod. Phys. Lett. A

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We review some recent work by Carone, Erlich and Vaman on composite gravitons in metricindependent quantum field theories, with the aim of clarifying a number of basic issues. Focusing on a theory of scalar fields presented previously in the literature, we clarify the meaning of the tunings required to obtain a massless graviton. We argue that this formulation can be interpreted as the massless limit of a theory of massive composite gravitons in which the graviton mass term is not of Pauli-Fierz form. We then suggest closely related theories that can be defined without such a limiting procedure (and hence without worry about possible ghosts). Finally, we comment on the importance of finding a compelling ultraviolet completion for models of this type, and discuss some possibilities. * Invited Brief Review for Modern Physics Letters A.

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Section: A the Meaning Of The Tuningssupporting

confidence: 70%

Composite gravitons from metric-independent quantum field theories

Carone

2019

Mod. Phys. Lett. A

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“…These kinds of cancellations can be seen explicitly in the calculations of [135]. Some loop calculations for massive gravity have been done in [138,139].…”

Section: Quantum Corrections and The Effective Theorymentioning

confidence: 99%

Theoretical aspects of massive gravity

2012

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Massive gravity has seen a resurgence of interest due to recent progress which has overcome its traditional problems, yielding an avenue for addressing important open questions such as the cosmological constant naturalness problem. The possibility of a massive graviton has been studied on and off for the past 70 years. During this time, curiosities such as the vDVZ discontinuity and the Boulware-Deser ghost were uncovered. We re-derive these results in a pedagogical manner, and develop the Stükelberg formalism to discuss them from the modern effective field theory viewpoint.We review recent progress of the last decade, including the dissolution of the vDVZ discontinuity via the Vainshtein screening mechanism, the existence of a consistent effective field theory with a stable hierarchy between the graviton mass and the cutoff, and the existence of particular interactions which raise the maximal effective field theory cutoff and remove the ghosts. In addition, we review some peculiarities of massive gravitons on curved space, novel theories in three dimensions, and examples of the emergence of a massive graviton from extra-dimensions and brane worlds.

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“…In this analysis, we have assumed that loop corrections are suppressed by M so that CRG is applicable (See [26][27][28] for explicit loop computations in ghost-free massive gravity where the one loop is suppressed compared to tree-level). This is also the conclusion of a causality based analysis by [29].…”

Section: Jhep05(2024)123mentioning

confidence: 99%

Regge constraints on local four-point scattering amplitudes of massive particles with spin

Chowdhury,

Kumar,

Kundu

et al. 2024

J. High Energ. Phys.

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In this work, we classify all the possible local four-point couplings relevant for tree-level flat space 2 → 2 scattering of external massive particles of spin one and spin two which do not grow faster than s2 at large s and fixed t. This kinematic constraint on local growth of tree-level S-matrices is known as Classical Regge Growth criteria or CRG [1]. We first construct the spin one and spin two tree-level contact S-matrices as modules of polarisation tensors and momenta over the ring of polynomials generated by Mandelstam invariants. We then consider a general scattering process where the external scattering particles are of different masses but of same spin and constrain this space to obtain a finite number of CRG allowed local Lagrangians. Our concrete results are primarily for D ≥ 8 but the process outlined is easily generalised to lower dimensions to include low dimensional parity violating structures. The space of CRG allowed structures reduces when we specialise to identical scattering and restrict to parity even couplings in D = 4. We show that tree-level scattering amplitudes involving exchange diagrams and contact terms in de Rham-Gabadadze-Tolley massive gravity (dRGT) violate CRG unless the parameters of the theory take special values. The CRG allowed S-matrices, in the context of large N conformal field theories (CFTs), can also be interpreted as bulk AdS counterterms consistent with Chaos bound. Our classified structures therefore can be thought of as ambiguities arising in the context of conformal field theory inversion formula for four point functions of unconserved spin one and spin two operators in large N CFTs.

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Quantum aspects of massive gravity II: non-Pauli-Fierz theory

Cited by 10 publications

References 27 publications

Composite gravitons from metric-independent quantum field theories

Composite gravitons from metric-independent quantum field theories

Theoretical aspects of massive gravity

Regge constraints on local four-point scattering amplitudes of massive particles with spin

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