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For a low energy effective theory to admit a standard local, unitary, analytic and Lorentz-invariant UV completion, its scattering amplitudes must satisfy certain inequalities. While these bounds are known in the forward limit for real…

High Energy Physics - Theory · Physics 2018-04-04 Claudia de Rham , Scott Melville , Andrew J. Tolley , Shuang-Yong Zhou

We extend the relativistic field theoretic finite-volume formalism to $N \pi \pi$ scattering states at maximal isospin, $I=5/2$. As in previous work using the relativistic field theory approach, we work to all orders in a generic low-energy…

High Energy Physics - Lattice · Physics 2025-10-07 Maxwell T. Hansen , Fernando Romero-López , Stephen R. Sharpe

We extend previous work concerning rest-frame partial-wave mixing in Hamiltonian effective field theory to both elongated and moving systems, where two particles are in a periodic elongated cube or have nonzero total momentum, respectively.…

High Energy Physics - Lattice · Physics 2021-05-26 Yan Li , Jia-jun Wu , Derek B. Leinweber , Anthony W. Thomas

In this notes, we illustrate why the infinite volume scattering amplitude is in fact dispensable when it comes to formulating few-body quantization condition in finite volume. Only subprocess interactions or interactions associated…

High Energy Physics - Lattice · Physics 2020-07-10 Peng Guo

We consider a system of two spins that are coupled via an isotropic Heisenberg Hamiltonian. For the first time, a two-step method for the preparation of an arbitrary quantum state of two qubits in the form of the Schmidt decomposition is…

Quantum Physics · Physics 2015-06-19 A. R. Kuzmak , V. M. Tkachuk

We study the longitudinal spin polarization of a relativistic fluid of massive spin-1/2 particles undergoing a boost-invariant expansion in the longitudinal direction and rotating in the transverse plane. We express the polarization vector…

Nuclear Theory · Physics 2025-03-18 Nora Weickgenannt , Jean-Paul Blaizot

In this work we study modifications in the Aharonov-Bohm effect for relativistic spin 1/2 particles due to the noncommutativity of spacetime in $2 + 1$ dimensions. The noncommutativity gives rise to a correction to the Aharonov-Bohm…

High Energy Physics - Theory · Physics 2008-11-26 A. F. Ferrari , M. Gomes , C. A. Stechhahn

We extract the long-range gravitational potential between two scalar particles with arbitrary masses from the two-to-two elastic scattering amplitude at 2nd Post-Minkowskian order in arbitrary dimensions. In contrast to the four-dimensional…

High Energy Physics - Theory · Physics 2020-08-26 Andrea Cristofoli , Poul H. Damgaard , Paolo Di Vecchia , Carlo Heissenberg

It has been suggested that amplitudes for quantum higher-spin massive particles exchanging gravitons lead, via a classical limit, to results for scattering of spinning black holes in general relativity, when the massive particles are in a…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Nils Siemonsen , Justin Vines

The peak position, impact-parameter range, and optimal conditions for observing spiral scattering of relativistic particles in a uniformly bent crystal are estimated. The existence of spiral scattering with a square-root singularity is…

Other Condensed Matter · Physics 2014-10-07 Gennady V. Kovalev

We study the spin-boson model without the counterrotating terms by a numerically exact method based on variational matrix product states. Surprisingly, the second-order quantum phase transition (QPT) is observed for the sub-Ohmic bath in…

Statistical Mechanics · Physics 2019-09-05 Yan-Zhi Wang , Shu He , Liwei Duan , Qing-Hu Chen

We study the low energy regime of the scattering of two fermionic particles carrying isospin 1/2 and interacting through a non-Abelian Chern-Simons field. We calculate the one-loop scattering amplitude for both the nonrelativistic and also…

High Energy Physics - Theory · Physics 2009-10-31 M. Gomes , L. C. Malacarne , A. J. da Silva

In a previous work we showed that spin can be envisioned as living in a phase space that is dual to the standard phase space of position and momentum. In this work we demonstrate that the second class constraints inherent in this "Dual…

High Energy Physics - Theory · Physics 2016-12-05 Trevor Rempel , Laurent Freidel

We prove a scattering result near certain steady states for a Hartree equation for a random field. This equation describes the evolution of a system of infinitely many particles. It is an analogous formulation of the usual Hartree equation…

Analysis of PDEs · Mathematics 2020-07-02 Charles Collot , Anne-Sophie de Suzzoni

We study scattering in the quantum Ising model in two dimensions. In the ordered phase, the spectrum contains a ladder of bound states and intertwined scattering resonances, which enable various scattering channels. By preparing wave…

Quantum Physics · Physics 2026-03-10 Luka Pavešić , Marco Di Liberto , Simone Montangero

We discuss the problem of spin-orbit interaction in a 2D chaotic or diffusive quantum dot in the presence of exchange correlations. Spin-orbit scattering breaks spin rotation invariance, and in the crossover regime between different…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Hakan E. Tureci , Y. Alhassid

In this work the bound state and scattering problems for a spin-1/2 particle undergone to an Aharonov-Bohm potential in a conical space in the nonrelativistic limit are considered. The presence of a \delta-function singularity, which comes…

Quantum Physics · Physics 2013-10-25 F. M. Andrade , E. O. Silva , M. Pereira

We study bosonic systems in the regime in which the two-body system has a shallow bound state or, equivalently, a large value of the two-body scattering length. Using the effective field theory framework as a guide, we construct a series of…

Atomic Physics · Physics 2022-09-14 Paolo Recchia , Alejandro Kievsky , Luca Girlanda , Mario Gattobigio

We discuss the state tomography of a fixed qubit (a spin-1/2 target particle), which is in general in a mixed state, through 1D scattering of a probe qubit off the target. Two strategies are presented, by making use of different degrees of…

Quantum Physics · Physics 2010-01-09 Antonella De Pasquale , Kazuya Yuasa , Hiromichi Nakazato

We determine scattering phase shifts for S,P,D, and F partial wave channels in two-nucleon systems using lattice QCD methods. We use a generalization of Luscher's finite volume method to determine infinite volume phase shifts from a set of…

High Energy Physics - Lattice · Physics 2015-11-10 Amy Nicholson , Evan Berkowitz , Enrico Rinaldi , Pavlos Vranas , Thorsten Kurth , Balint Joo , Mark Strother , Andre Walker-Loud
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