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Integrable Quantum Field Theories can be solved exactly using bootstrap techniques based on their elastic and factorisable S-matrix. While knowledge of the scattering amplitudes reveals the exact spectrum of particles and their on-shell…

Statistical Mechanics · Physics 2023-03-30 M. Lencsés , G. Mussardo , G. Takács

Flat-space physics is highly constrained by basic principles such as Lorentz invariance, locality, unitarity and causality. This is neatly seen in the structure of scattering amplitudes. For processes occurring in an expanding background we…

High Energy Physics - Theory · Physics 2022-03-31 Paolo Benincasa

We study the scattering of longitudinally polarized W bosons in extensions of the Standard Model where anomalous Higgs couplings to gauge sector and higher order O(p^4) operators are considered. These new couplings with respect to the…

High Energy Physics - Phenomenology · Physics 2014-08-06 Domenec Espriu , Federico Mescia

Many low energy hadrons, such as the rho, can be observed as resonances in scattering experiments. A proposal by L\"uscher enables one to determine infinite volume elastic scattering phases from the two-particle energy spectrum measured…

High Energy Physics - Lattice · Physics 2011-11-15 K. Rummukainen , Steven Gottlieb

A universal formulation of uncertainty relations for quantum measurements is presented with additional focus on the representability of quantum observables by classical observables over a given state. Owing to the simplicity and operational…

Quantum Physics · Physics 2022-04-01 Jaeha Lee

We perform the calculation for tree-level ultraviolet unitarity violation scales for scalar-$R^2$ inflation models by including an additional $R^2 |\Phi|^2$-type term. Due to certain constraints, we resort to the Einstein frame for our…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Sukanta Panda , Abbas Altafhussain Tinwala , Archit Vidyarthi

The superposition principle is fundamental to linear wave systems, ensuring that their physical behaviour is independent of the chosen basis representation. While this principle underpins many analytical techniques, including modal…

Classical Physics · Physics 2026-03-26 Michael Mazilu , Andriejus Demčenko

In a frequency range where a microwave resonator simulates a chaotic quantum billiard, we have measured moduli and phases of reflection and transmission amplitudes in the regimes of both isolated and of weakly overlapping resonances and for…

Chaotic Dynamics · Physics 2015-05-14 B. Dietz , T. Friedrich , H. L. Harney , M. Miski-Oglu , A. Richter , F. Schaefer , H. A. Weidenmueller

We use the S-matrix bootstrap to carve out the space of unitary, analytic, crossing symmetric and supersymmetric graviton scattering amplitudes in nine, ten and eleven dimensions. We extend and improve the numerical methods of our previous…

High Energy Physics - Theory · Physics 2023-06-28 Andrea Guerrieri , Harish Murali , Joao Penedones , Pedro Vieira

For a boundary CFT to give a good approximation to the bulk flat-space S-matrix, a number of conditions need to be satisfied: some of those are investigated here. In particular, one would like to identify an appropriate set of approximate…

High Energy Physics - Theory · Physics 2016-09-21 Mirah Gary , Steven B. Giddings

Deep inelastic scattering is considered in a statistical model of the nucleon. This incorporates certain features which are absent in the standard parton model such as quantum statistical correlations which play a role in the propagation of…

High Energy Physics - Phenomenology · Physics 2009-10-22 J. Cleymans , I. Dadic , J. Joubert

I discuss a formalism for computing quantum scattering amplitudes using a semiclassical expansion of a functional integral representation for the S-matrix. The classical background for the expansion is determined by solving the equations of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stephen D. H. Hsu

The unitarity relation, Im(A)=T* A, is derived for a three-body production amplitude, A, that consists of a complex linear combination of elements of the two-body scattering amplitude, T. We conclude that the unitarity relation does not…

High Energy Physics - Phenomenology · Physics 2008-11-26 Eef van Beveren , George Rupp

In this article, we study the properties of the nonlinear Fourier spectrum in order to gain better control of the temporal support of the signals synthesized using the inverse nonlinear Fourier transform (NFT). In particular, we provide…

Computational Physics · Physics 2018-09-17 Vishal Vaibhav

Excited hadrons are seen as resonances in the scattering of lighter stable hadrons like $\pi$, $K$ and $\eta$. Many decay into multiple final states necessitating coupled-channel analyses. Recently it has become possible to obtain…

High Energy Physics - Lattice · Physics 2016-11-23 David J. Wilson

We comment on recent results of a possible finite theory of Super Gravity from both Feynman graph and global E(7,7) symmetry arguments. The four point amplitude can be written as a series in the gravitational coupling and energy squared,…

High Energy Physics - Theory · Physics 2011-05-17 Ivan J. Muzinich

A spherical tensor expansion is carried out to express the resonant inelastic scattering cross-section as a sum of products of fundamental spectra with tensors involving wavevectors and polarization vectors of incident and scattered…

Strongly Correlated Electrons · Physics 2014-05-20 Amélie Juhin , Christian Brouder , Frank De Groot

Many approaches to nucleon-nucleus elastic and inelastic scattering are based on the use of the free-space nucleon-nucleon transition amplitude. In calculations where the full spin-dependence of this amplitude is needed, its use is more…

Nuclear Theory · Physics 2009-11-07 R. Crespo , A. M. Moro

We present the failure of the standard coupled-channels method in explaining the inelastic scattering together with other observables such as elastic scattering, excitation function and fusion data. We use both microscopic double-folding…

Nuclear Theory · Physics 2008-11-26 S. Erturk , I. Boztosun , Y. Kucuk , M. Karakoc , S. Aydin

A Euclidean formulation of relativistic quantum mechanics is discussed. Representations of the Hilbert space inner product and Poincar\'e generators are all expressed in terms of Euclidean space-time variables. The formulation does not…

High Energy Physics - Lattice · Physics 2018-09-10 W. N. Polyzou , Gordon Aiello , Philip Kopp