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Related papers: Constraining higher-spin S-matrices

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In this paper, we study the scattering amplitudes and soft theorems for the sigma models with two scalars. We show that if the particles are Goldstone bosons, then you necessarily get Adler zero with no possibility for non-trivial soft…

High Energy Physics - Theory · Physics 2024-09-17 Karol Kampf , Jiri Novotny , Mikhail Shifman , Jaroslav Trnka

The natural constraints for the weak-field approximation to composite gravity, which is obtained by expressing the gauge vector fields of the Yang-Mills theory based on the Lorentz group in terms of tetrad variables and their derivatives,…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Hans Christian Öttinger

We consider soft graviton scattering for a theory where Einstein's gravity is minimally coupled to a scalar field in the presence of a cosmological constant, i.e. in a background de Sitter space. Employing a perturbative expansion in a…

High Energy Physics - Theory · Physics 2025-12-08 Divyesh N. Solanki , Pratik Chattopadhyay , Srijit Bhattacharjee

From a study of the subleading structure of the asymptotic equations of motion in Einstein-Yang-Mills theory, we construct charges that are conserved up to quadratic order in non-radiative vacuum. We then show that these higher spin charges…

High Energy Physics - Theory · Physics 2025-05-01 Shreyansh Agrawal , Panagiotis Charalambous , Laura Donnay

In a recent note we presented a compact formula for the complete tree-level S-matrix of pure Yang-Mills and gravity theories in arbitrary spacetime dimension. In this paper we show that a natural formulation also exists for a massless…

High Energy Physics - Theory · Physics 2015-06-17 Freddy Cachazo , Song He , Ellis Ye Yuan

We propose a Lorentz-covariant Yang-Mills spin-gauge theory, where the function valued Dirac matrices play the role of a non-scalar Higgs-field. As symmetry group we choose $SU(2) \times U(1)$. After symmetry breaking a non-scalar…

General Relativity and Quantum Cosmology · Physics 2013-06-11 H. Dehnen , E. Hitzer

We extend a previously developed formulation of the S-matrix, based on a path integral with asymptotic boundary conditions, to include gravity. The path integral defines a Carrollian boundary partition function whose invariance under…

High Energy Physics - Theory · Physics 2026-05-12 Jack Isen , Per Kraus , Ruben Monten , Richard M. Myers

We consider theories of three dimensional quantum gravity in Anti-de Sitter space which possess massless higher-spin gauge symmetry. The perturbative spectrum of the theory includes higher spin excitations which can be organized into vacuum…

High Energy Physics - Theory · Physics 2013-12-05 Alejandra Castro , Arnaud Lepage-Jutier , Alexander Maloney

It is shown that the Stone-von Neumann theorem is inapplicable to scattering a quantum nonrelativistic particle on a one-dimensional "short-range" potential barrier, since the unboundedness of the position operator plays here a crucial…

General Physics · Physics 2016-12-08 N. L. Chuprikov

The paper aims at the qualitative criterion of higher-spin locality. Perturbative analysis of the Vasiliev equations gives rise to the so-called $z$-dominated non-localities which nevertheless disappear from interaction vertices leaving the…

High Energy Physics - Theory · Physics 2023-05-31 V. E. Didenko , A. V. Korybut

Higher-spin theories are most commonly modelled on the example of spin 2. While this is appropriate for the description of free irreducible spin-s particles, alternative options could be equally interesting. In particular Maxwell's…

High Energy Physics - Theory · Physics 2015-05-27 Dario Francia

A geometric formalism is developed which allows to describe the non-linear regime of higher-spin gravity emerging on a cosmological quantum space-time in the IKKT matrix model. The vacuum solutions are Ricci-flat up to an effective vacuum…

High Energy Physics - Theory · Physics 2020-09-23 Harold C. Steinacker

We consider lambda and anisotropic deformations of the SU(2) principal chiral model and show how they can be quantized in the Hamiltonian formalism on a lattice as a suitable spin chain. The spin chain is related to the higher spin XXZ…

High Energy Physics - Theory · Physics 2018-09-26 Calan Appadu , Timothy J. Hollowood , Dafydd Price , Daniel C. Thompson

An example of higher-derivative theory with a non-Abelian gauge symmetry is proposed. In the free limit, the model describes the multiplet of vector fields, being subjected to the extended Chern-Simons equations. The theory admits a single…

High Energy Physics - Theory · Physics 2020-11-26 D. S. Kaparulin

We speculate on Dyson series for the $S$-matrix when the interaction depends on derivatives of the fields. We stick on two particular examples: the scalar electrodynamics and the renormalised $\phi ^4$ theory. We eventually give evidence…

High Energy Physics - Theory · Physics 2021-01-26 Vincenzo Denisi , Alessandro Papa , Marco Rossi

We propose a new framework to represent the perturbative S-matrix which is well-defined for all quantum field theories of massless particles, constructed from tree-level amplitudes and integrable term-by-term. This representation is derived…

High Energy Physics - Theory · Physics 2016-02-17 Christian Baadsgaard , N. E. J. Bjerrum-Bohr , Jacob L. Bourjaily , Simon Caron-Huot , Poul H. Damgaard , Bo Feng

We use the light-cone gauge formalism to study interactions of point particles with massless higher-spin fields. By analysing the light-cone consistency conditions at the subleading order in higher-spin fields, we find that no local…

High Energy Physics - Theory · Physics 2025-06-27 Vyacheslav Ivanovskiy , Dmitry Ponomarev

We revisit the emergence of a Yang-Mills symmetry in theories with massless spin 1 particles from fundamental physical properties of scattering amplitudes. In the standard proofs, some symmetry and reality properties of the coupling…

High Energy Physics - Theory · Physics 2026-01-13 Renato M. Fonseca , Clara Hernandez-Garcia , Javier M. Lizana , Manuel Perez-Victoria

In the low energy domain of four-dimensional SU(2) Yang-Mills theory the spin and the charge of the gauge field can become separated from each other. The ensuing field variables describe the interacting dynamics between a version of the…

High Energy Physics - Theory · Physics 2008-11-26 Ludvig D. Faddeev , Antti J. Niemi

It is shown that the recently introduced positivity and causality preserving string-local quantum field theory (SLFT) resolves most No-Go situations in higher spin problems. This includes in particular the Velo-Zwanziger causality problem…

Mathematical Physics · Physics 2019-04-03 Bert Schroer