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Here we obtain all possible second-order theories for a rank-2 tensor which describe a massive spin-2 particle. We start with a general second-order Lagrangian with ten real parameters. The absence of lower spin modes and the existence of…

High Energy Physics - Theory · Physics 2013-06-26 D. Dalmazi

In this work, we compute the graviton mediated scattering amplitude of a massive spin-2 Fierz-Pauli field with various other massive spin fields, and in the non-relativistic limit, find out the corresponding two-body gravitational…

High Energy Physics - Theory · Physics 2026-05-13 Avijit Sen Majumder , Sourav Bhattacharya

In quantum theory, the curved spacetime of Einstein's general theory of relativity acts as a dispersive optical medium for the propagation of light. Gravitational rainbows and birefringence replace the classical picture of light rays…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Graham M Shore

One key prediction of General Relativity is that gravitational waves are emitted with a pure spin-2 polarisation. Any extra polarisation mode, spin-1 or spin-0, is consequently considered a smoking gun for deviations from General…

General Relativity and Quantum Cosmology · Physics 2025-01-29 Camille Bonvin , Giulia Cusin , Cyril Pitrou , Simone Mastrogiovanni , Giuseppe Congedo , Jonathan Gair

This review is dedicated to recent progress in the field of classical, interacting, massive spin-2 theories, with a focus on ghost-free bimetric theory. We will outline its history and its development as a nontrivial extension and…

High Energy Physics - Theory · Physics 2016-03-31 Angnis Schmidt-May , Mikael von Strauss

Cosmological models that are locally consistent with general relativity and the standard model in which an object transported around the universe undergoes P, C and CP transformations, are constructed. This leads to generalization of the…

High Energy Physics - Theory · Physics 2008-11-26 Jeeva Anandan

In this paper we analyze the interactions of a massive spin-2 particles charged under both Abelian and non-Abelian group using the Porrati-Rahman Lagrangian. This theory is valid up to an intrinsic cutoff scale. Phenomenologically a theory…

High Energy Physics - Theory · Physics 2016-11-23 Fabrizio Canfora , Alex Giacomini , Alfonso R. Zerwekh

The general expression of the Stern-Gerlach force is deduced for a relativistic spin-1/2 particle which travels inside a time varying magnetic field. This result was obtained either by means of two Lorentz boosts or starting from Dirac's…

Accelerator Physics · Physics 2009-07-14 M. Conte , A. U. Luccio , M. Pusterla

We find a model-independent upper bound on the strong coupling scale for a massive spin-2 particle coupled to Einstein gravity. Our approach is to directly construct tree-level scattering amplitudes for these degrees of freedom and use them…

High Energy Physics - Theory · Physics 2018-10-17 James Bonifacio , Kurt Hinterbichler

We suggest that the physically irrelevant choice of a representative worldline of a relativistic spinning particle should correspond to a gauge symmetry in an action approach. Using a canonical formalism in special relativity, we identify a…

General Relativity and Quantum Cosmology · Physics 2015-01-21 Jan Steinhoff

Relativistic particles with higher spin can be described in first quantization using actions with local supersymmetry on the worldline. First, we present a brief review of these actions and their use in first quantization. In a Dirac…

High Energy Physics - Theory · Physics 2015-07-15 Fiorenzo Bastianelli , Roberto Bonezzi , Olindo Corradini , Emanuele Latini

The most general 2+1 dimensional spinning particle model is considered. The action functional may involve all the possible first order Poincare invariants of world lines, and the particular class of actions is specified thus the…

High Energy Physics - Theory · Physics 2007-05-23 K. B. Alkalaev , S. L. Lyakhovich

Starting from the linearized BdG-equation we make the simple observation that pairing can occur between particles with total momenta different from zero, e.g., with equal momentum and opposite spin, in cases of an effective interaction…

Superconductivity · Physics 2022-08-25 C. Hainzl , M. Loss

We construct the double copy of the chiral higher-spin theory. It is a Lorentz invariant theory with the little group spectrum given by the tensor square of the chiral higher-spin theory spectrum. Moreover, its interactions factorise in…

High Energy Physics - Theory · Physics 2025-02-07 Dmitry Ponomarev

Historians recently rehabilitated Einstein's "physical strategy" for General Relativity (GR). Independently, particle physicists similarly re-derived Einstein's equations for a massless spin 2 field. But why not a light \emph{massive} spin…

History and Philosophy of Physics · Physics 2019-10-01 J. Brian Pitts

In this communication I analyze the problem of complete exceptionality of wave propagation in a class of spin 2 field theories. I show that, under the imposition of the good weak-field limit, only two Lagrangians are completely exceptional.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Santiago E. Perez Bergliaffa

Here we show that in arbitrary dimensions $D\ge 3$ there are two families of second order Lagrangians describing massive "spin-2" particles via a nonsymmetric rank-2 tensor. They differ from the usual Fierz-Pauli theory in general. At zero…

High Energy Physics - Theory · Physics 2015-06-22 D. Dalmazi , A. L. R. dos Santos , E. L. Mendonça

Motivated by the spin-2 nature of gravity, we consider a theory of N interacting spin-2 fields, formulated in terms of vielbeins which have been argued to be free of the Boulware-Deser ghost. This is the only known such theory with…

High Energy Physics - Theory · Physics 2025-03-03 J. Flinckman , S. F. Hassan

There is no indication so far on the spin of dark matter particles. We consider the possibility in this work that a spin-3/2 particle acts as dark matter. Employing the approach of effective field theory, we list all possible 4-fermion…

High Energy Physics - Phenomenology · Physics 2015-06-03 Ran Ding , Yi Liao

We investigate the cosmology of interacting spin-2 particles, formulating the multi-gravitational theory in terms of vierbeins and without imposing any Deser-van Nieuwenhuizen-like constraint. The resulting multi-vierbein theory represents…

High Energy Physics - Theory · Physics 2014-02-21 Nicola Tamanini , Emmanuel N. Saridakis , Tomi S. Koivisto