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In this contribution, we discuss three situations in which complete integrability of a three dimensional classical system and its quantum version can be achieved under some conditions. The former is a system with axial symmetry. In the…

Mathematical Physics · Physics 2009-11-13 M. Gadella , J. Negro , G. P. Pronko , M. Santander

We introduce a novel point-particle effective description of ANO vortex solitons in the critical Abelian Higgs Model (AHM) in $d=2+1$ based on the small winding expansion. Identifying the effective vortices with the elementary quanta of a…

High Energy Physics - Theory · Physics 2024-03-05 Callum R. T. Jones

Tree-level scattering amplitudes of particles have a geometrical description in terms of intersection numbers of pairs of twisted differential forms on the moduli space of Riemann spheres with punctures. We customize a catalog of twisted…

High Energy Physics - Theory · Physics 2022-12-26 Pouria Mazloumi , Stephan Stieberger

We compute the classical effective action of color charges moving along worldlines by integrating out the Yang-Mills gauge field to next-to-leading order in the coupling. An adapted version of the Bern-Carrasco-Johansson (BCJ) double-copy…

High Energy Physics - Theory · Physics 2019-01-17 Jan Plefka , Jan Steinhoff , Wadim Wormsbecher

We investigate the behaviour of quantum fields coupled to a spacetime geometry exhibiting finite regions of Euclidean (Riemannian) signature. Although from a gravity perspective this situation might seem somewhat far fetched, we will…

General Relativity and Quantum Cosmology · Physics 2009-11-05 Silke Weinfurtner , Angela White , Matt Visser

We derive a massive double copy construction within string theory. To this end, we use massive vectors of the open string spectrum that appear in compactifications to four dimensions and construct massive spin-2 tensors as closed string…

High Energy Physics - Theory · Physics 2023-09-25 Dieter Lust , Chrysoula Markou , Pouria Mazloumi , Stephan Stieberger

We study scattering amplitudes and form factors in planar $\mathcal{N}=4$ Super Yang-Mills theory in the limit where two pairs of gluons become collinear. We find that, when the virtualities of both collinear pairs are spacelike, the…

High Energy Physics - Theory · Physics 2025-07-09 Claude Duhr , Aniruddha Venkata , Chi Zhang

Eikonal exponentiation in QFT describes the emergence of classical physics at long distances in terms of a non-trivial resummation of infinitely many diagrams. Long ago, 't Hooft proposed a beautiful correspondence between…

High Energy Physics - Theory · Physics 2022-08-31 Tim Adamo , Andrea Cristofoli , Piotr Tourkine

We explore the features of gravity in its quantum regime in a mathematically rigorous way by carrying out the classical and quantum formulations of some two-Killing symmetry reductions of general relativity which admit an exact…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Daniel Gómez Vergel

We sum up two- and three-point amplitudes in the chiral higher-spin theory over helicities and find that these quite manifestly have the form of invariant traces of the flat space chiral higher-spin algebra. We consider invariant traces of…

High Energy Physics - Theory · Physics 2022-09-28 Dmitry Ponomarev

We discuss classical integrable structure of two-dimensional sigma models which have three-dimensional Schrodinger spacetimes as target spaces. The Schrodinger spacetimes are regarded as null-like deformations of AdS_3. The original AdS_3…

High Energy Physics - Theory · Physics 2015-05-30 Io Kawaguchi , Kentaroh Yoshida

We give a prescription for the computation of loop-level scattering amplitudes in pure Einstein gravity, and four-dimensional pure supergravities, using the color-kinematics duality. Amplitudes are constructed using double copies of pure…

High Energy Physics - Theory · Physics 2015-11-11 Henrik Johansson , Alexander Ochirov

The contribution from even spin structures to the genus-two amplitude for five massless external NS states in Type II and Heterotic superstrings is evaluated from first principles in the RNS formulation. Using chiral splitting with the help…

High Energy Physics - Theory · Physics 2022-07-26 Eric D'Hoker , Oliver Schlotterer

We introduce a quantification of genuine three-party pure-state coherence for wave fields, classical and quantum, by borrowing concepts from classical optics. The tensor structure of a classical paraxial light beam composed of three…

Quantum Physics · Physics 2020-12-25 X. -F. Qian , S. A. Wadood , A. N. Vamivakas , J. H. Eberly

We study scalar-tensor gravitational theories using on-shell amplitude methods. We focus on theories with gravity coupled to a massless scalar via the Gauss-Bonnet and Chern-Simons terms. In this framework, we calculate the waveforms for…

High Energy Physics - Theory · Physics 2025-04-01 Adam Falkowski , Panagiotis Marinellis

Exact analytic solutions are obtained in three-body problem for the scattering of light particle on two fixed centers in the case when pair potentials have a separable form. Solutions show an appearance of new three-body resonance states…

Nuclear Theory · Physics 2015-05-18 Nurgali Takibayev

QCD at the classical level possesses scale invariance which is broken by quantum effects. This ``dimensional transmutation'' phenomenon can be mathematically described by formulating classical gluodynamics in a curved, conformally flat,…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. Kharzeev , E. Levin , K. Tuchin

We describe an efficient method for extracting the parts of $D$-dimensional loop integrals that are needed to derive observables in classical general relativity from scattering amplitudes. Our approach simplifies the soft-region method of…

High Energy Physics - Theory · Physics 2021-07-28 N. Emil J. Bjerrum-Bohr , Poul H. Damgaard , Ludovic Planté , Pierre Vanhove

The three-disk scatterer has served as a paradigm for semiclassical periodic orbit quantization of classical chaotic systems using Gutzwiller's trace formula. It represents an open quantum system, thus leading to spectra of complex…

Chaotic Dynamics · Physics 2017-07-14 Niklas Liebermann , Jörg Main , Günter Wunner

We propose a new splitting behavior of tree-level string/particle amplitudes for scalars, gluons and gravitons. We identify certain subspaces in the space of Mandelstam variables, where the universal Koba-Nielsen factor splits into two…

High Energy Physics - Theory · Physics 2024-08-23 Qu Cao , Jin Dong , Song He , Canxin Shi
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