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In this paper, we derive a soft gluon theorem in the near horizon region of the Schwarzschild black hole from the Ward identity of the near horizon large gauge transformation. The flat spacetime soft gluon theorem can be recovered as a…

High Energy Physics - Theory · Physics 2023-08-15 Peng Cheng , Pujian Mao

Let $G$ be an even orthogonal quasi-split group defined over a local non-archimedean field $F$. We describe the subspace of smooth vectors of the minimal representation of $G(F),$ realized on the space of square-integrable functions on a…

Representation Theory · Mathematics 2023-04-28 Nadya Gurevich , David Kazhdan

A general method of the Foldy-Wouthyusen (FW) transformation for relativistic particles of arbitrary spin in strong external fields has been developed. The use of the found transformation operator is not restricted by any definite…

Mathematical Physics · Physics 2013-10-31 Alexander J. Silenko

Recent advances in our understanding of foundations of quantum mechanics have shown that information can be made objective through quantum states. Such objectification processes, predicted e.g. in a variety of quantum open systems, must…

Quantum Physics · Physics 2025-06-09 Rafał Ćwiek , Jarosław K. Korbicz

In the sigma model, soft insertions of moduli scalars enact parallel transport of $S$-matrix elements about the finite-dimensional moduli space of vacua, and the antisymmetric double-soft theorem calculates the curvature of the vacuum…

High Energy Physics - Theory · Physics 2023-07-07 Daniel Kapec

With the goal in mind of deriving a method to compute quantum corrections for the real-time evolution in quantum field theory, we analyze the problem from the perspective of the Wigner function. We argue that this provides the most natural…

Mathematical Physics · Physics 2013-05-30 Antonio González-Arroyo , Fermín Nuevo

This paper is a serious attempt at reconciling quantum and classical mechanics through the concept of dynamic space and the acceptance of non-zero Ricci tensor for vacuum. Starting with scalar particles, the paper shows that with those two…

General Physics · Physics 2007-05-23 Jose B. Almeida

In loop quantum cosmology, Friedmann-LeMaitre-Robertson-Walker (FLRW) space-times arise as well-defined approximations to specific \emph{quantum} geometries. We initiate the development of a quantum theory of test scalar fields on these…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Abhay Ashtekar , Wojciech Kaminski , Jerzy Lewandowski

We present a new group field theory describing 3d Riemannian quantum gravity coupled to matter fields for any choice of spin and mass. The perturbative expansion of the partition function produces fat graphs colored with SU(2) algebraic…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Daniele Oriti , James Ryan

We study the fusion semirings arising from easy quantum groups. We classify all the possible free ones, answering a question of T. Banica and R. Vergnioux : these are exactly the fusion rings of quantum groups without any nontrivial…

Quantum Algebra · Mathematics 2017-09-20 Amaury Freslon

We present a list of formulas describing classical radiation of the rank s tensor field from an accelerated point-like source in flat space-time of arbitrary even dimension d. This allows straightforward evaluating the total intensity and…

High Energy Physics - Theory · Physics 2008-11-26 A. Mironov , A. Morozov

In a quantum world, reference frames are ultimately quantum systems too -- but what does it mean to "jump into the perspective of a quantum particle"? In this work, we show that quantum reference frame (QRF) transformations appear naturally…

Quantum Physics · Physics 2021-09-01 Marius Krumm , Philipp A. Hoehn , Markus P. Mueller

We solve a general equation describing the lowest order corrections arising from quantum gravitational effects to the spectrum of cosmological fluctuations. The spectra of scalar and tensor perturbations are calculated to first order in the…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Alexander Y. Kamenshchik , Alessandro Tronconi , Giovanni Venturi

We show that the form of the recently proposed subleading soft graviton and gluon theorems in any dimension are severely constrained by elementary arguments based on Poincar\'e and gauge invariance as well as a self-consistency condition…

High Energy Physics - Theory · Physics 2014-09-24 Johannes Broedel , Marius de Leeuw , Jan Plefka , Matteo Rosso

Soft and collinear radiation in collider processes can be described in a universal way, that is independent of the underlying process. Recent years have seen a number of approaches for probing whether radiation beyond the leading soft…

High Energy Physics - Phenomenology · Physics 2023-08-25 Melissa van Beekveld , Abhinava Danish , Eric Laenen , Sourav Pal , Anurag Tripathi , Chris D. White

Following a recent proposal to describe inelastic eikonal scattering processes in terms of gravitationally dressed elastic eikonal amplitudes, we motivate a collinear double graviton dressing and investigate its properties. This is derived…

High Energy Physics - Theory · Physics 2025-04-16 Karan Fernandes , Feng-Li Lin

If a set of massive objects collide in space and the fragments disperse, possibly forming black holes, then this process will emit gravitational waves. Computing the detailed gravitational wave-form associated with this process is a…

High Energy Physics - Theory · Physics 2025-06-24 Ashoke Sen

We extend the effective field theory for soft and collinear gravitons to interactions with fermionic matter fields. The full theory features a local Lorentz symmetry in addition to the usual diffeomorphisms, which requires incorporating the…

High Energy Physics - Phenomenology · Physics 2023-04-05 Martin Beneke , Patrick Hager , Dominik Schwienbacher

We formulate quantum field theory in triangulated spacetime using compositional quantum field theory and tensor network methods. We show that gravitational interactions emerge as a low-energy effective phenomenon in this framework. For…

High Energy Physics - Theory · Physics 2025-05-13 Matti Raasakka

The conservation of the long wavelength fluctuations of the metric plays a vital role in cosmology as the link between quantum fluctuations during inflation and late time observations. This is a well-known property of the classical…

High Energy Physics - Theory · Physics 2025-02-06 Daniel Green , Kshitij Gupta
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