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The scattering amplitude of a charged particle from a long hard cylinderical solenoid is derived by solving the time independent Schr\"{o}dinger equation on a double connected plane. It is a summation over the angular momentum quantum…

Quantum Physics · Physics 2015-03-31 Oktay Yilmaz

The Compton amplitude is calculated in terms of expectation values of light-ray quark operators. As a technical tool we apply the nonlocal light-cone expansion. Thereby we express the expectation value of the vector light-ray operator with…

High Energy Physics - Phenomenology · Physics 2015-06-25 J. Blümlein , B. Gezer , D. Robaschik

We investigate the Brower-Goddard extension of the Veneziano and Virasoro-Shapiro four-point amplitudes obtained by generalizing the Koba-Nielsen integrals to $d$-dimensional conformally invariant integrals. The amplitudes derived from this…

High Energy Physics - Theory · Physics 2024-06-28 N. Emil J. Bjerrum-Bohr , Christian Baadsgaard Jepsen

In this work we provide a non-perturbative solution to the theoretical problem of extracting scattering amplitudes from Euclidean correlators in infinite volume. We work within the solid axiomatic framework of the Haag-Ruelle scattering…

High Energy Physics - Lattice · Physics 2024-07-03 Agostino Patella , Nazario Tantalo

The representation of the usual integral dispersion relations (IDR) of scattering theory through series of derivatives of the amplitudes is discussed, extended, simplified, and confirmed as mathematical identities. Forms of derivative…

High Energy Physics - Phenomenology · Physics 2008-11-26 Erasmo Ferreira , Javier Sesma

We critically examine the question of scaling of the Deep Inelastic Scattering process in the medium Bjorken x region on a scalar boson in the framework of the AdS/QCD correspondence. To get the right polarization structure of the forward…

High Energy Physics - Phenomenology · Physics 2008-12-18 B. Pire , C. Roiesnel , L. Szymanowski , S. Wallon

There is a number of indications that scattering amplitudes in the Aharony-Bergman-Jafferis-Maldacena theory might have a dual description in terms of a holonomy of a supergauge connection on a null polygonal contour in a way analogous to…

High Energy Physics - Theory · Physics 2019-10-23 Benjamin Basso , Andrei V. Belitsky

Recent works have discussed the violation of factorization and universality in hadronic hard scattering processes aimed at measurements of T-odd distributions. We use simple arguments to show that it is possible to restore an approximate…

High Energy Physics - Phenomenology · Physics 2007-09-10 Andrea Bianconi

We study the impact of full unitarity on the moment structure of forward scattering amplitudes. We introduce the semiarcs, calculable quantities in the EFT dispersively related to both real and imaginary parts of the UV amplitude for a…

High Energy Physics - Theory · Physics 2023-01-02 Marc Riembau

We work out constraints imposed by channel duality and analyticity on tree-level amplitudes of four identical real scalars, with the assumptions of a linear spectrum of exchanged particles and Regge asymptotic behaviour. We reduce the…

High Energy Physics - Theory · Physics 2017-10-19 Pranjal Nayak , Rohan R. Poojary , Ronak M Soni

It is shown that the amplitudes of electron-ion scattering and $e^+e^-$ pair production in the Coulomb field of two colliding ions are sxpressed in the terms of electron scattering amplitudes in the fields of the individual ions via the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. N. Sissakian , A. V. Tarasov , H. T. Torosyan , O. O. Voskresenskaya

Perturbation theory is used to investigate the evolution of the von Neumann entropy of a subsystem of a bipartite quantum system under the action of a unitary matrix, in the limit where that matrix is close to the unit matrix. The physical…

Quantum Physics · Physics 2025-09-08 Duncan MacIntyre , Gordon W. Semenoff

The scattering theory of the integrable statistical models can be generalized to the case of systems with extended lines of defect. This is done by adding the reflection and transmission amplitudes for the interactions with the line of…

High Energy Physics - Theory · Physics 2009-10-28 G. Delfino , G. Mussardo , P. Simonetti

We present a procedure for application of T-duality transformation on scattering amplitudes of closed bosonic stringy states. These states arise due to compactification of closed string to lower spacetime dimensions through dimensional…

High Energy Physics - Theory · Physics 2015-06-17 Jnanadeva Maharana

An analysis of the data on forward $pp, \bar pp, \pi^{\pm}p$ and $K^{\pm}p$ scattering is performed making use of the single- and double-subtraction integral and comparing with derivative dispersion relations for amplitudes. Various pomeron…

High Energy Physics - Phenomenology · Physics 2012-02-08 A. Alkin , J. R. Cudell , E. Martynov

We consider the process gamma^* N -> M_1 M_2 N' with a large rapidity gap between the two mesons M_1 and M_2. Within the QCD collinear approximation, the scattering amplitude may be written as a convolution of an impact factor describing…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Yu. Ivanov , B. Pire , L. Szymanowski , O. V. Teryaev

In the framework of QED, scalar pair production by a single linearly polarized high-energy photon in the presence of an external Aharonov-Bohm potential is investigated. The exact scattering solutions of the Klein-Gordon equation in…

High Energy Physics - Theory · Physics 2011-07-19 G. Y. Shahin , M. S. Shikakhwa

We establish that unitarity of scattering amplitudes imposes universal entropy bounds. The maximal entropy of a self-sustained quantum field object of radius R is equal to its surface area and at the same time to the inverse running…

High Energy Physics - Theory · Physics 2021-03-31 Gia Dvali

Two-particle unitarity-cuts of scattering amplitudes can be efficiently computed by applying Stokes' Theorem, in the fashion of the Generalised Cauchy Theorem. Consequently, the Optical Theorem can be related to the Berry Phase, showing how…

High Energy Physics - Phenomenology · Physics 2010-01-20 Pierpaolo Mastrolia

The way we organise perturbation theory is of fundamental importance both for computing the observables of relevance and for extracting fundamental physics out of them. If on one hand the different ways in which the perturbative observables…

High Energy Physics - Theory · Physics 2022-03-16 Paolo Benincasa , William J. Torres Bobadilla