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The Wightman function for a massive free scalar field is studied within the light front formulation, while a special attention is paid to its mass dependence. The long lasting inconsistency is successfully solved by means of the novel…

High Energy Physics - Theory · Physics 2007-05-23 Jerzy A. Przeszowski , Jan Zochowski

Standard singularity theorems are proven in Lorentzian manifolds of arbitrary dimension n if they contain closed trapped submanifolds of arbitrary co-dimension. By using the mean curvature vector to characterize trapped submanifolds, a…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Gregory J. Galloway , José M. M. Senovilla

We show how the pseudo-linear interactions for spin-2 particles can be straightforwardly extended to include multiple massive and massless fields without introducing ghosts. When massive spin-2 fields are included, these give simple…

High Energy Physics - Theory · Physics 2019-02-06 James Bonifacio , Kurt Hinterbichler , Laura A. Johnson

We use the quantum symmetries present in string compactification on Landau-Ginzburg orbifolds to prove the existence of a large class of exactly marginal (0,2) deformations of (2,2) superconformal theories. Analogous methods apply to the…

High Energy Physics - Theory · Physics 2009-10-07 Jacques Distler , Shamit Kachru

We discuss the problem of unitarity for Yang-Mills theory in the Landau gauge with a mass term a la Stueckelberg. We assume that the theory (non-renormalizable) makes sense in some subtraction scheme (in particular the Slavnov-Taylor…

High Energy Physics - Theory · Physics 2010-02-03 Ruggero Ferrari , Andrea Quadri

This paper studies the nonlinear Landau damping on the torus $\mathbb{T}^d$ for the Vlasov-Poisson system with massless electrons (VPME). We consider solutions with analytic or Gevrey ($\gamma > 1/3$) initial data, close to a homogeneous…

Analysis of PDEs · Mathematics 2023-08-24 Antoine Gagnebin , Mikaela Iacobelli

We propose a mapping between geometry and kinematics that implies the classical equivalence of any theory of massless bosons -- including spin and exhibiting arbitrary derivative or potential interactions -- to a nonlinear sigma model…

High Energy Physics - Theory · Physics 2022-08-31 Clifford Cheung , Andreas Helset , Julio Parra-Martinez

We use the spinor helicity formalism in order to derive the dyadic forms for massless fields of various spins. We also give an iterated form of this approach in case higher spin theories are under study. This reduces calculations at hard…

High Energy Physics - Theory · Physics 2016-10-13 Alexis Kassiteridis

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

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

This paper reports on our diagrammatic approach to characterize the gauge dependence of Quantum Electrodynamics in the linear covariant gauge. Our dimensionally independent technique is purely based on a perturbative analysis and allows us…

High Energy Physics - Theory · Physics 2018-08-02 Henry Kißler

The tensionless limit of classical string theory may be formulated as a topological theory on the world-sheet. A vector density carries geometrical information in place of an internal metric. It is found that path-integral quantization…

High Energy Physics - Theory · Physics 2009-09-25 Bo Sundborg

We derive and discus the equations of motion for spinless matter: relativistic spinless scalar fields, particles and fluids in the recently proposed by A. Saa model of gravity with covariantly constant volume with respect to the transposed…

General Relativity and Quantum Cosmology · Physics 2015-06-25 P. P. Fiziev

A theory of massive gravity depends on a non-dynamical 'reference metric' f_{\mu\nu} which is often taken to be the flat Minkowski metric. In this paper we examine the theory of perturbations on a background with metric g_{\mu\nu} which…

General Relativity and Quantum Cosmology · Physics 2014-04-11 Pietro Guarato , Ruth Durrer

We propose a novel generalized method for mass measurements based on phase space singularity structures that can be applied to any event topology with missing energy. Our method subsumes the well-known end-point and transverse mass methods…

High Energy Physics - Phenomenology · Physics 2010-04-06 Ian-Woo Kim

We consider electromagnetism in a cylindrical manifold coupled to a nonrelativistic charged point-particle. Through the relation between this theory and the Landau model on a torus, we study the entanglement between the particle and the…

High Energy Physics - Theory · Physics 2020-07-15 Filiberto Ares , Amilcar R. de Queiroz , Marcia R. Tenser

We investigate the tachyon coupling in a static Robertson--Walker like metric background. For a tachyon and dilaton field which are only time dependent one can rewrite this model as a SU(2) Wess--Zumino--Witten model and a scalar…

High Energy Physics - Theory · Physics 2009-10-22 K. Behrndt

For matrix analogues of embedded surfaces we define discrete curvatures and Euler characteristics, and a non-commutative Gauss--Bonnet theorem is shown to follow. We derive simple expressions for the discrete Gauss curvature in terms of…

Mathematical Physics · Physics 2010-01-20 Joakim Arnlind , Jens Hoppe , Gerhard Huisken

This paper takes a different look on the problem of testing the mutual independence of the components of a high-dimensional vector. Instead of testing if all pairwise associations (e.g. all pairwise Kendall's $\tau$) between the components…

Statistics Theory · Mathematics 2024-02-14 Patrick Bastian , Holger Dette , Johannes Heiny

We consider the couplings of an infinite number of spin-2 fields to gravity appearing in Kaluza-Klein theories. They are constructed as the broken phase of a massless theory possessing an infinite-dimensional spin-2 symmetry. Focusing on a…

High Energy Physics - Theory · Physics 2009-11-11 Olaf Hohm