Results 41 to 50 of about 56,080 (199)
Scattering amplitudes and contour deformations [PDF]
We employ a scalar model to exemplify the use of contour deformations when solving Lorentz-invariant integral equations for scattering amplitudes. In particular, we calculate the onshell 2 -> 2 scattering amplitude for the scalar system. The integrals produce branch cuts in the complex plane of the integrand which prohibit a naive Euclidean ...
Pedro Duarte+4 more
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AbstractI analyze the algebraic patterns underlying the structure of scattering amplitudes in quantum field theory. I focus on the decomposition of amplitudes in terms of independent functions and the systems of differential equations the latter obey.
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The purpose of this review is to bridge the gap between a standard course in quantum field theory and recent fascinating developments in the studies of on-shell scattering amplitudes. We build up the subject from basic quantum field theory, starting with Feynman rules for simple processes in Yukawa theory and QED.
Elvang, Henriette, Huang, Yu-tin
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Natural boundaries for scattering amplitudes
Singularities, such as poles and branch points, play a crucial role in investigating the analytic properties of scattering amplitudes that inform new computational techniques. In this note, we point out that scattering amplitudes can also have another class of singularities called natural boundaries of analyticity.
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Heterodyne x-ray diffuse scattering from coherent phonons
Here, we report Fourier-transform inelastic x-ray scattering measurements of photoexcited GaAs with embedded ErAs nanoparticles. We observe temporal oscillations in the x-ray scattering intensity, which we attribute to inelastic ...
M. Kozina+11 more
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Chaotic scattering of highly excited strings
Motivated by the desire to understand chaos in the S-matrix of string theory, we study tree level scattering amplitudes involving highly excited strings. While the amplitudes for scattering of light strings have been a hallmark of string theory since its
David J. Gross, Vladimir Rosenhaus
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Scattering amplitudes and electromagnetic horizons
Abstract We consider the scattering of charged particles on particular electromagnetic fields which have properties analogous to gravitational horizons. Classically, particles become causally excluded from regions of spacetime beyond a null surface which we identify as the ‘electromagnetic horizon’.
Anton Ilderton, William Lindved
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BFKL equation in the next-to-leading order: solution at large impact parameters
In this paper, we show (1) that the NLO corrections do not change the power-like decrease of the scattering amplitude at large impact parameter ($$b^2 \,>\,r^2 \exp ( 2{\bar{\alpha }}_S\eta (1 + 4 {\bar{\alpha }}_S) )$$ b2>r2exp(2α¯Sη(1+4α¯S)) , where r ...
Carlos Contreras+2 more
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Cluster polylogarithms for scattering amplitudes [PDF]
Motivated by the cluster structure of two-loop scattering amplitudes in N=4 Yang-Mills theory we define "cluster polylogarithm functions". We find that all such functions of weight 4 are made up of a single simple building block associated to the A_2 cluster algebra.
Anastasia Volovich+3 more
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Second-order post-Minkowskian scattering in arbitrary dimensions
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.
Andrea Cristofoli+3 more
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