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We study the problem of interacting theories with (partially)-massless and conformal higher spin fields without matter in three dimensions. A new class of theories that have partially-massless fields is found, which significantly extends…

High Energy Physics - Theory · Physics 2020-09-23 Maxim Grigoriev , Karapet Mkrtchyan , Evgeny Skvortsov

We consider field diffeomorphisms in the context of real scalar field theories. Starting from free field theories we apply non-linear field diffeomorphisms to the fields and study the perturbative expansion for the transformed theories. We…

High Energy Physics - Theory · Physics 2015-06-04 Dirk Kreimer , Andrea Velenich

We show that the matrix elements of integrable models computed by the Algebraic Bethe Ansatz can be put in direct correspondence with the Form Factors of integrable relativistic field theories. This happens when the S-matrix of a Bethe…

Statistical Mechanics · Physics 2011-07-28 M. Kormos , G. Mussardo , B. Pozsgay

Massive integrable field theories in $1+1$ dimensions are defined at the Lagrangian level, whose classical equations of motion are related to the ``non-abelian'' Toda field equations. They can be thought of as generalizations of the…

High Energy Physics - Theory · Physics 2009-10-28 Timothy J. Hollowood , J. Luis Miramontes , Q-Han Park

We study the exact solutions of both, massless and massive, scalar field theory on the noncommutative $AdS_2$. We also discuss some important limits in order to compare with known results.

High Energy Physics - Theory · Physics 2023-08-08 A. Pinzul , A. Stern

A `covariant' field that transforms like a relativistic field operator is required to be a linear combination of `canonical' fields that transform like annihilation and creation operators and with invariant coefficients. The Invariant…

High Energy Physics - Theory · Physics 2007-05-23 Richard Shurtleff

We consider a relativistic charged particle in background electromagnetic fields depending on both space and time. We identify which symmetries of the fields automatically generate integrals (conserved quantities) of the charge motion,…

Mathematical Physics · Physics 2017-09-13 Tom Heinzl , Anton Ilderton

Recently, some of the authors have introduced a new interpretation of matrix models in which covariant derivatives on any curved space can be expressed by large-N matrices. It has been shown that the Einstein equation follows from the…

High Energy Physics - Theory · Physics 2008-11-26 Ko Furuta , Masanori Hanada , Hikaru Kawai , Yusuke Kimura

In this letter, we continue the work we started at a previous paper and we propose new series of integrable models in quantum field theory. These models are obtained as perturbed models of the minimal conformal field theories on the…

solv-int · Physics 2009-10-28 S. A. Apikyan , C. J. Efthimiou

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

Gauge fields of mixed symmetry, corresponding to arbitrary representations of the local Lorentz group of the background spacetime, arise as massive modes in compactifications of superstring theories. We describe bosonic gauge field theories…

High Energy Physics - Theory · Physics 2009-11-10 Paul de Medeiros

In present work, a relativistic relation that connects the difference of interacting and non-interacting integrated two-particle correlation functions in finite volume to infinite volume scattering phase shift through an integral is…

High Energy Physics - Lattice · Physics 2024-06-21 Peng Guo

The AdS/CFT correspondence is explored for ``partially massless'' fields in AdS space (which have fewer helicity states than a massive field but more than a conventional massless field). Such fields correspond in the boundary conformal…

High Energy Physics - Theory · Physics 2010-04-07 Louise Dolan , Chiara R. Nappi , Edward Witten

Nonrelativstic effective field theories have shown to be a useful framework to describe systems of weakly bound particles. This work focuses on the matching procedure to the underlying relativistic theory. The concept of a physical mass in…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Gall

We use light-cone gauge formalism to study interacting massive and massless continuous-spin fields and finite component arbitrary spin fields propagating in the flat space. Cubic interaction vertices for such fields are considered. We…

High Energy Physics - Theory · Physics 2018-12-26 R. R. Metsaev

Using the thermodynamical Bethe ansatz method we derive an infinite set of integral non-linear equations for the spectrum of states/operators in AdS/CFT. The Y-system conjectured in arXiv:0901.3753 for the spectrum of all operators in…

High Energy Physics - Theory · Physics 2015-05-13 Nikolay Gromov , Vladimir Kazakov , Andrii Kozak , Pedro Vieira

It is investigated if massless particles can couple to scalar fields in a special relativistic theory with classical particles. The only possible obvious theory which is invariant under Lorentz transformations and reparametrization of the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Hartmut Frommert

As of today there exist consistent, gauge-invariant string field theories describing all string theories: bosonic open and closed strings, open superstrings, heterotic strings and type II strings. The construction of these theories require…

High Energy Physics - Theory · Physics 2024-06-21 Ashoke Sen , Barton Zwiebach

In this paper we give explicit gauge invariant Lagrangian formulation for massive theories based on mixed symmetry tensors \Phi_{[\mu\nu],\alpha}, T_{[\mu\nu\alpha],\beta} and R_{[\mu\nu],[\alpha\beta]} both in Minkowski as well as in…

High Energy Physics - Theory · Physics 2007-05-23 Yu. M. Zinoviev

In integrable field theories in two dimensions, the Bethe ansatz can be used to compute exactly the ground state energy in the presence of an external field coupled to a conserved charge. We generalize previous results by Volin and we…

High Energy Physics - Theory · Physics 2021-04-23 Marcos Marino , Tomas Reis