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Review of AdS/CFT Integrability, Chapter III.5: Lüscher Corrections
In integrable quantum field theories, the large volume spectrum is given by the Bethe Ansatz. The leading corrections, due to virtual particles...
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Review of AdS/CFT Integrability, Chapter III.6: Thermodynamic Bethe Ansatz
The aim of the chapter is to introduce in a pedagogical manner the concept of Thermodynamic Bethe Ansatz designed to calculate the energy levels of...
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Review of AdS/CFT Integrability, Chapter IV.4: Integrability in QCD and \({\fancyscript{N} <4 }\) SYM
There is a growing amount of evidence that QCD (and four-dimensional gauge theories in general) possesses a hidden symmetry which does not exhibit...
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On the Quantum Mechanical Scattering Statistics of Many Particles
The probability of a quantum particle being detected in a given solid angle is determined by the S -matrix. The explanation of this fact in...
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Unitarity-Cuts and Berry’s Phase
Elaborating on the observation that two-particle unitarity-cuts of scattering amplitudes can be computed by applying Stokes’ theorem, we relate the...
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Symmetry of Bound and Antibound States in the Semiclassical Limit
Motivated by a recent numerical observation we show that in one dimensional scattering a barrier separating the interaction region from infinity...
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The Scattering Matrix and its Meromorphic Continuation in the Stark Effect Case
Quantum scattering in the presence of a constant electric field (‘Stark effect’) is considered. It is shown that the scattering matrix has a...
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Derivation of Gamow Vectors for Resonances in Cut-Off Potentials
Gamow vectors are rigourously derived for a realistic case including an infinite number of resonant poles. This is the case of resonances produced by...
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Pseudo-Differential Operators with Point Interactions
Point interactions for pseudo-differential operators are studied. Necessary and sufficient conditions for a pseudo-differential operator to have...
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Existence theorems for π/n vortex scattering
The analysis of 90° vortex-vortex scattering is extended to π/ n scattering in all head-on collisions of n vortices in the Abelian Higgs model. A...
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Scattering on the hyperbolic plane in the Aharonov-Bohm gauge field
The scattering of a quantum charged particle on the hyperbolic plane in the Abelian Aharonov-Bohm field is considered. S-matrix, scattering amplitude...