Results 61 to 70 of about 2,054,858 (263)
Full one-loop amplitudes from tree amplitudes [PDF]
JHEP 0804:049,2008, 2008 We establish an efficient polynomial-complexity algorithm for one-loop calculations, based on generalized $D$-dimensional unitarity. It allows automated computations of both cut-constructible {\it and} rational parts of one-loop scattering amplitudes from on-shell tree amplitudes.
arxiv +1 more source
Chaos in a many-string scattering amplitude [PDF]
, 2021 String theory provides a compact integral expression for the tree-level scattering amplitude of an arbitrary number of light strings. We focus on amplitudes involving a few tachyons and many photons, with a special choice of polarizations and kinematics.
arxiv +1 more source
Two-Loop Four-Graviton Scattering Amplitudes. [PDF]
Physical Review Letters, 2020 We present the analytic form of the two-loop four-graviton scattering amplitudes in Einstein gravity. To remove ultraviolet divergences we include counterterms quadratic and cubic in the Riemann curvature tensor. The two-loop numerical unitarity approach
S. Abreu +6 more
semanticscholar +1 more source
From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion. [PDF]
Physical Review Letters, 2018 We combine tools from effective field theory and generalized unitarity to construct a map between on-shell scattering amplitudes and the classical potential for interacting spinless particles.
C. Cheung, I. Rothstein, M. Solon
semanticscholar +1 more source
Scattering amplitudes and the double copy in topologically massive theories [PDF]
Journal of High Energy Physics, 2020 Using the principles of the modern scattering amplitudes programme, we develop a formalism for constructing the amplitudes of three-dimensional topologically massive gauge theories and gravity.
Nathan Moynihan
semanticscholar +1 more source
The SAGEX Review on Scattering Amplitudes, Chapter 9: Integrability of Amplitudes in Fishnet Theories [PDF]
arXiv, 2022 We discuss the properties of scattering amplitudes in a conformal bi-scalar fishnet theory that previously appeared in the study of integrable deformations of $\mathcal N=4$ SYM. In distinction with the latter theory, the scattering amplitudes in the conformal fishnet theory do not suffer from infrared divergences and possess enhanced symmetries.
arxiv
Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes [PDF]
Nucl.Phys.B435:59-101,1995, 1994 We identify a large class of one-loop amplitudes for massless particles that can be constructed via unitarity from tree amplitudes, without any ambiguities. One-loop amplitudes for massless supersymmetric gauge theories fall into this class; in addition, many non-supersymmetric amplitudes can be rearranged to take advantage of the result.
arxiv +1 more source
Four-Gauge-Particle Scattering Amplitudes and Polyakov String Path Integral in the proper-time gauge [PDF]
, 2018 We evaluate four-gauge-particle tree level scattering amplitudes using the Polyakov string path integral in the proper-time gauge, where the string path integral can be cast into the Feynman-Schwinger proper-time representation. We compare the resultant scattering amplitudes, which include $\ap$-corrections, with the conventional ones that may be ...
arxiv +1 more source
Feynman Integrals and Scattering Amplitudes from Wilson Loops. [PDF]
Physical Review Letters, 2020 We study Feynman integrals and scattering amplitudes in N=4 super-Yang-Mills theory by exploiting the duality with null polygonal Wilson loops. As the main application, we compute for the first time the symbols of the general double pentagon integrals ...
Song He +3 more
semanticscholar +1 more source
On the harmonic scattering amplitudes from a nonlinear elastic spherical inclusion [PDF]
, 2017 In this paper, the interaction of an incident finite amplitude longitudinal wave with a localized region of nonlinearity is considered. This interaction produces a secondary field represented by a superposition of first-, second-, and third-harmonic components.
arxiv +1 more source