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In this thesis we present a study of the computation of classical observables in gauge theories and gravity directly from scattering amplitudes. In particular, we discuss the direct application of modern amplitude techniques in the one, and…

High Energy Physics - Theory · Physics 2022-08-02 Yilber Fabian Bautista

This thesis aims at providing better understanding of the perturbative expansion of gauge theories with and without supersymmetry. At tree level, the BCFW recursion relations are analyzed with respect to their validity for general off-shell…

High Energy Physics - Theory · Physics 2014-09-30 Alexander Ochirov

The analytic structures of scattering amplitudes in gauge theory and gravity are examined on the celestial sphere. The celestial amplitudes in the two theories - computed by employing a regulated Mellin transform - can be compared at low…

High Energy Physics - Theory · Physics 2021-04-27 Nikhil Kalyanapuram

We consider Type 0B D3-branes placed at conical singularities and analyze in detail the conifold singularity. We study the non supersymmetric gauge theories on their worldvolume and their conjectured dual gravity descriptions. In the…

High Energy Physics - Theory · Physics 2009-10-31 Mohsen Alishahiha , Andreas Brandhuber , Yaron Oz

We obtain the matter-graviton scattering amplitude in the gravitational theory of quadratic curvature, which has $R_{\mu\nu}^2$ term in the action. Unitarity bound is not satisfied because of the existence of negative norm states, while an…

High Energy Physics - Theory · Physics 2023-04-12 Yugo Abe , Takeo Inami , Keisuke Izumi

In this paper results from the differential geometry of curves are extended from normed planes to gauge planes which are obtained by neglecting the symmetry axiom. Based on the gauge analogue of the notion of Birkhoff orthogonality from…

Differential Geometry · Mathematics 2019-10-02 Vitor Balestro , Horst Martini , Makoto Sakaki

We explore the properties of five-dimensional supersymmetric gauge theories living on $5$-brane webs in orientifold $5$-plane backgrounds. This allows constructing quiver gauge theories with alternating $USp(2N)$ and $SO(N)$ gauge groups…

High Energy Physics - Theory · Physics 2016-04-20 Gabi Zafrir

We show that certain lattice gauge theories exhibiting disorder-free localization have a characteristic response in spatially averaged spectral functions: a few sharp peaks combined with vanishing response in the zero frequency limit. This…

Disordered Systems and Neural Networks · Physics 2024-04-12 Nilotpal Chakraborty , Markus Heyl , Petr Karpov , Roderich Moessner

Benefitting from the unequaled precision of the pulsar timing technique, binary pulsars are important testbeds of gravity theories, providing some of the tightest bounds on alternative theories of gravity. One class of well-motivated…

High Energy Astrophysical Phenomena · Physics 2022-05-13 Junjie Zhao , Paulo C. C. Freire , Michael Kramer , Lijing Shao , Norbert Wex

We present a general approach to the analysis of gauge stability of 3+1 formulations of General Relativity (GR). Evolution of coordinate perturbations and the corresponding perturbations of lapse and shift can be described by a system of…

General Relativity and Quantum Cosmology · Physics 2009-11-07 A. M Khokhlov , I. D. Novikov

Soft theorems in gauge theory and gravity encode the universal properties of scattering amplitudes as the zero frequency limit of one or more external states is approached. When the participating particles are treated in the massless limit,…

High Energy Physics - Theory · Physics 2021-07-15 Nikhil Kalyanapuram

Gravitational waves (GWs) induced by scalar curvature fluctuations are an important source of the cosmological GW background and a crucial counterpart of the primordial black hole scenario. However, doubts have been cast on the…

General Relativity and Quantum Cosmology · Physics 2021-04-14 Guillem Domènech , Misao Sasaki

Gauge symmetry breaking by boundary conditions on a manifold is known to be equivalent to Wilson-line breaking through a background gauge field, and is therefore spontaneous. These equivalent pictures are related by a non-periodic gauge…

High Energy Physics - Theory · Physics 2009-09-29 Lawrence J. Hall , Hitoshi Murayama , Yasunori Nomura

Pauli-Fierz approach to description of a massless spin-2 particle is investigated in the framework of 30-component first order relativistic wave equation theory on a curved space-time background. It is shown that additional gauge symmetry…

Mathematical Physics · Physics 2011-09-08 V. M. Red'kov , N. G. Tokarevskaya , V. V. Kisel

We develop a complete formulation of quantum gauge invariance in light-front dynamics for interacting theories with massless vector gauge fields in the framework of null-plane causal perturbation theory. We apply the general results to…

High Energy Physics - Theory · Physics 2022-12-07 O. A. Acevedo , B. M. Pimentel

A relation between an $Sp(2M)$ gauge particle model and the zero-curvature condition in a two-dimensional gauge theory is presented. For the $Sp(4)$ case we construct finite \W-transformations.

High Energy Physics - Theory · Physics 2017-02-01 J. Gomis , J. Herrero , K. Kamimura , J. Roca

We review the structure of gauge theory scattering amplitudes at tree level and describe how a compact expression can be found which encodes all the tree-level amplitudes in the maximally supersymmetric N=4 theory. The expressions for the…

High Energy Physics - Theory · Physics 2015-05-28 J. M. Drummond

We consider pure SU(N) gauge theories defined on an orbifold lattice, analogous to the S^1/Z_2 gauge theory orbifolds of the continuum, which according to the perturbative analysis do not have a Higgs phase. Non-perturbatively the…

High Energy Physics - Lattice · Physics 2015-06-18 Nikos Irges , Francesco Knechtli

The study of factorization in linearized gravity is extended to the graviton scattering processes with an electron for the massive vector boson productions such as $g e \rightarrow Z e$ and $g e \rightarrow W \nu_e$. It is shown that every…

High Energy Physics - Theory · Physics 2011-09-09 J. S. Shim , H. S. Song

Using the ambitwistor string theory, we study graviton scattering amplitudes in a light-like linear dilaton background of ten-dimensional supergravity. At the tree level, we find that the three-graviton amplitude coincides with the type II…

High Energy Physics - Theory · Physics 2023-08-09 Mayu Kato , Yu Nakayama