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In the spirit of multi-scale modeling, we develop a theoretical framework for spin-lattice coupling that connects, on the one hand, to ab initio calculations of spin-lattice coupling parameters and, on the other hand, to the magneto-elastic…

It is shown that the linearized fields of causal variational principles give rise to linear bosonic quantum field theories. The properties of these field theories are studied and compared with the axioms of local quantum physics.…

Mathematical Physics · Physics 2022-04-08 Claudio Dappiaggi , Felix Finster , Marco Oppio

In this paper we develop the frame-like gauge invariant formulation for the massive two-column bosonic fields in (anti) de Sitter space-times. We begin with the partially massless cases in AdS and dS and then we combine these results into…

High Energy Physics - Theory · Physics 2016-11-23 Yu. M. Zinoviev

We construct the effective field theory for a single massive higher-spin particle in flat spacetime. Positivity bounds of the S-matrix force the cutoff of the theory to be well below the naive strong-coupling scale, forbid any potential and…

High Energy Physics - Theory · Physics 2020-01-08 Brando Bellazzini , Francesco Riva , Javi Serra , Francesco Sgarlata

The Einstein equations for a plane-symmetric gravitational field coupled to an arbitrary nonlinear sigma model (NSM) are shown to be represented in the form of dynamical equations of a {\it generalized effective NSM}. The gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. V. Chervon , D. Yu. Shabalkin

We study the non-relativistic Newton-Cartan limit of higher-order gravity theories in arbitrary dimensions. We first study it at the level of the action by introducing an additional 1-form gauge field and coupling it appropriately to the…

High Energy Physics - Theory · Physics 2025-07-09 Biel Cardona , Luca Romano

In this paper we construct a number of cubic interaction vertices for massless bosonic and fermionic higher spin fields in flat four dimensional space. First of all, we construct these cubic vertices in AdS_4 space using a so-called…

High Energy Physics - Theory · Physics 2020-08-31 M. V. Khabarov , Yu. M. Zinoviev

The subject of matrix field theory involves matrix models, noncommutative geometry, fuzzy physics and noncommutative field theory and their interplay. In these lectures, a lot of emphasis is placed on the matrix formulation of…

High Energy Physics - Theory · Physics 2017-04-05 Badis Ydri

We present a gauge field theory for the continuous spin tachyonic representation of the Poincar\'e group. It was obtained by a dimensional reduction of a complex gauge field theory for a continuous spin particle in a cotangent bundle over…

High Energy Physics - Theory · Physics 2023-08-16 Victor O. Rivelles

Using the superfield gauging procedure, we construct new ${\cal N}\,{=}\,2$ and ${\cal N}\,{=}\,4$ superfield systems that generalize Calogero models. In the bosonic limit, these systems yield rational Calogero models and hyperbolic…

High Energy Physics - Theory · Physics 2020-10-28 E. Ivanov , O. Lechtenfeld , S. Fedoruk

We derive the free wave solutions of the Dirac equation from the viewpoint of matrix algebra. The concept of spin and the corresponding helicity states are analyzed in detail. This consideration may help the readers to study mathematical…

Quantum Physics · Physics 2024-07-11 Ben Goren , Kamal Barley , Sergei K. Suslov

Matrix models play an important role in studies of quantum gravity, being candidates for a formulation of M-theory, but are notoriously difficult to solve. In this work, we present a fresh approach by introducing a novel exact model…

Quantum Physics · Physics 2015-11-23 R. Hübener , Y. Sekino , J. Eisert

A non-gauge dynamical system depending on parameters is considered. It is shown that these parameters can have such values that corresponding canonically quantized theory will be gauge invariant. The equations allowing to find these values…

High Energy Physics - Theory · Physics 2009-10-28 I. L. Buchbinder , V. D. Pershin , G. B. Toder

We report on progress in formulating a field theory of tensionless strings in $AdS_3$, starting from the dual large-$N$ symmetric orbifold CFT. We propose a set of field equations which are gauge invariant under the higher spin algebra of…

High Energy Physics - Theory · Physics 2020-01-08 Joris Raeymaekers

We present a new representation of spin operators in terms of bosonic creation-annihilation operators. This representation allows us to formulate a new field-theoretical description of spin systems which is free of any constraints. The…

Statistical Mechanics · Physics 2007-05-23 Alexandra Ilinskaia , Kirill Ilinski

We argue that the theory of a massive higher spin field coupled to electromagnetism in flat space possesses an intrinsic, model independent, finite upper bound on its UV cutoff. By employing the Stueckelberg formalism we do a systematic…

High Energy Physics - Theory · Physics 2009-03-24 Massimo Porrati , Rakibur Rahman

We show that a-gauge, a class of covariant gauges developed for bosonic open string field theory, is consistently applied to the closed string field theory. A covariantly gauge-fixed action of massless fields can be systematically derived…

High Energy Physics - Theory · Physics 2015-06-05 Masako Asano , Mitsuhiro Kato

We investigate the ground state of a free massless (pseudo)scalar field in 1+1-dimensional space-time. We argue that in the quantum field theory of a free massless (pseudo)scalar field without infrared divergences (Eur. Phys. J. C24, 653…

High Energy Physics - Theory · Physics 2007-05-23 M. Faber , A. N. Ivanov

We examine zero-form charges in Vasiliev's four-dimensional bosonic higher spin gravities. These are classical observables given by integrals over noncommutative twistor space of adjoint combinations of the zero-form master fields,…

High Energy Physics - Theory · Physics 2015-03-20 Nicolò Colombo , Per Sundell

The (m^2,\Lambda) plane of spin s>1 massive fields in (A)dS backgrounds is shown to consist of separate phases, divided by lines of novel ``partially massless'' gauge theories that successively remove helicities, starting from the lowest, 0…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , A. Waldron