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Using the frame formulation of multi-gravity in three dimensions, we show that demanding the presence of secondary constraints which remove the Boulware-Deser ghosts restricts the possible interaction terms of the theory and identifies…

High Energy Physics - Theory · Physics 2015-01-15 Hamid R. Afshar , Eric A. Bergshoeff , Wout Merbis

Using unitarity, analyticity and crossing symmetry, we derive universal sum rules for scattering amplitudes in theories invariant under an arbitrary symmetry group. The sum rules relate the coefficients of the energy expansion of the…

High Energy Physics - Theory · Physics 2015-06-19 Brando Bellazzini , Luca Martucci , Riccardo Torre

The low-energy effective theory description of a confining theory, such as QCD, is constructed including local interactions between hadrons organized in a derivative expansion. This kind of approach also applies more generically to theories…

High Energy Physics - Theory · Physics 2020-11-09 Carlos Hoyos , Niko Jokela , Daniel Logares

Linear zero-rest-mass fields generically develop logarithmic singularities at the critical sets where spatial infinity meets null infinity. Friedrich's representation of spatial infinity is ideally suited to study this phenomenon. These…

General Relativity and Quantum Cosmology · Physics 2021-12-22 Edgar Gasperin , Juan A. Valiente Kroon

Generalized multifractality characterizes system size dependence of pure scaling local observables at Anderson transitions in all ten symmetry classes of disordered systems. Recently, the concept of generalized multifractality has been…

Mesoscale and Nanoscale Physics · Physics 2023-12-08 S. S. Babkin , I. S. Burmistrov

It was pointed out long ago by Vainshtein [Phys. Lett. 39B, 393 (1972)] that the weak-field perturbation expansion of generic theories (of the nonlinear Fierz-Pauli type) involving massive spin-2 excitations breaks down below a certain…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Vasilisa Nikiforova

We investigate the possible existence of non-topological solitons in string-like theories, or in other completions of Einstein theory, by examining a simple extension of standard theory that describes a non-linear scalar field interacting…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. C. Cadavid , R. J. Fikelstein

Recently, it has been argued that application of the Weak Gravity Conjecture (WGC) to spin-2 fields implies a universal upper bound on the cutoff of the effective theory for a single spin-2 field. We point out here that these arguments are…

High Energy Physics - Theory · Physics 2019-11-27 Claudia de Rham , Lavinia Heisenberg , Andrew J. Tolley

We constrain effective field theories by going beyond the familiar positivity bounds that follow from unitarity, analyticity, and crossing symmetry of the scattering amplitudes. As interesting examples, we discuss the implications of the…

High Energy Physics - Theory · Physics 2018-04-25 Brando Bellazzini , Francesco Riva , Javi Serra , Francesco Sgarlata

This paper presents the fascinating correspondence between the geometric function theory and the scattering amplitudes with $O(N)$ global symmetry. A crucial ingredient to show such correspondence is a fully crossing symmetric dispersion…

High Energy Physics - Theory · Physics 2021-12-13 Ahmadullah Zahed

In Quantum Field Theory, scattering amplitudes are computed from propagators which, for internal lines, are built upon spin/polarization-sum relationships. In turn, these are normally constructed upon plane-wave solutions of the free field…

General Physics · Physics 2024-01-26 Rodolfo José Bueno Rogerio , Luca Fabbri

We construct a generalised formalism for group field theories, in which the domain of the field is extended to include additional proper time variables, as well as their conjugate mass variables. This formalism allows for different types of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Daniele Oriti

We rigorously show the mean-field limit for a large class of swarming individual based models with local sharp sensitivity regions. For instance, these models include nonlocal repulsive-attractive forces locally averaged over sharp vision…

Analysis of PDEs · Mathematics 2016-05-06 José A. Carrillo , Young-Pil Choi , Maxime Hauray , Samir Salem

This paper studies nonlinear deformations of the linear gauge theory of any number of spin-2 and spin-3/2 fields with general formal multiplication rules in place of standard Grassmann rules for manipulating the fields, in four spacetime…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stephen C. Anco

We derive the first positivity bounds for low-energy Effective Field Theories (EFTs) that are not invariant under Lorentz boosts. "Positivity bounds" are the low-energy manifestation of certain fundamental properties in the UV -- to date…

High Energy Physics - Theory · Physics 2022-07-12 Tanguy Grall , Scott Melville

In this paper we investigate the possible supersymmetric extensions for the massive (bi)gravity theories in the lowest non-trivial order. For this purpose we construct the cubic interaction vertices for massive spin-2 and one or two massive…

High Energy Physics - Theory · Physics 2018-08-08 Yu. M. Zinoviev

In this paper, we continue our investigation of gravitational interactions for massive higher spins, extending our recent work on massive spin 5/2 to massive spin 3, including its massless and partially massless limits. To construct the…

High Energy Physics - Theory · Physics 2025-10-31 Yu. M. Zinoviev

A gauge invariant procedure for extracting combined SO(3)-Z2 monopoles in positive-plaquette SU(2) lattice gauge theory is shown. When these monopoles are eliminated through a constraint, the theory deconfines for all $\beta$ on $12^4$ and…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Grady

We present an alternative formalism for modeling spin. The ontological elements of this formalism are base-2 sequences of length $n$. The machinery necessary to model physics is then developed by considering correlations between base-2…

Quantum Physics · Physics 2022-12-15 Sam Powers , Dejan Stojkovic

Universal theories are a broad class of well-motivated microscopic dynamics of the electroweak sector that go beyond the Standard Model description. The long distance physics is described by electroweak parameters which correspond to local…

High Energy Physics - Phenomenology · Physics 2023-12-08 Matthew McCullough , Lorenzo Ricci , Marc Riembau