A5073592880- Black Holes and Theoretical Physics
- Particle physics theoretical and experimental studies
- Cosmology and Gravitation Theories
- Quantum Chromodynamics and Particle Interactions
- Noncommutative and Quantum Gravity Theories
- Pulsars and Gravitational Waves Research
- Particle Accelerators and Free-Electron Lasers
- Galaxies: Formation, Evolution, Phenomena
- Geophysics and Gravity Measurements
- Superconducting Materials and Applications
- Magnetism in coordination complexes
- Business Strategy and Innovation
- Model Reduction and Neural Networks
- Relativity and Gravitational Theory
- Astrophysics and Star Formation Studies
- Particle accelerators and beam dynamics
- Computational Physics and Python Applications
- International Science and Diplomacy
- Electromagnetic Scattering and Analysis
- Physics of Superconductivity and Magnetism
- Medical and Biological Sciences
- Scientific Research and Discoveries
- Spectroscopy and Laser Applications
- Spectroscopy and Quantum Chemical Studies
- Advanced Differential Geometry Research
Northwestern University
2019-2025
Institut de Physique Théorique
2015-2024
CEA Paris-Saclay
2015-2024
Centre National de la Recherche Scientifique
2018-2024
Commissariat à l'Énergie Atomique et aux Énergies Alternatives
2015-2024
Université Paris-Saclay
2017-2023
CEA Cadarache
2022
Centre de Gestion Scientifique
2022
Institute for Advanced Study
2016
Stanford University
2011-2015
We present an identity satisfied by the kinematic factors of diagrams describing tree amplitudes massless gauge theories. This is a analog Jacobi for color factors. Using this we find new relations between color-ordered partial amplitudes. discuss applications to multi-loop calculations via unitarity method. In particular, illustrate different contributions two-loop four-point QCD amplitude. also use reorganize gravity diagram diagram, offering insight into structure KLT and can be used...
In a previous paper we observed that (classical) tree-level gauge-theory amplitudes can be rearranged to display duality between color and kinematics. Once this is imposed, gravity are obtained using two copies of diagram numerators. Here conjecture persists all quantum loop orders thus used obtain multiloop easily from ones. As nontrivial test, show the three-loop four-point amplitude N=4 super-Yang-Mills theory arranged into form satisfying duality, by taking double numerators...
Large scale structure surveys will likely become the next leading cosmological probe. In our universe, matter perturbations are large on short distances and small at long scales, i.e. strongly coupled in UV weakly IR. To make precise analytical predictions we develop an effective field theory formulated terms of IR fluid characterized by several parameters, such as speed sound viscosity. These determined physics described Boltzmann equation, measured from N-body simulations. We find that is...
We describe the construction of complete four-loop four-particle amplitude $\mathcal{N}=8$ supergravity. The is ultraviolet finite, not only in four dimensions, but five dimensions as well. observed extra cancellations provide additional nontrivial evidence that supergravity may be finite to all orders perturbation theory.
We use the duality between color and kinematics to simplify construction of complete four-loop four-point amplitude N=4 super-Yang-Mills theory, including nonplanar contributions. The completely determines amplitude's integrand in terms just two planar graphs. existence a manifestly dual gauge-theory trivializes corresponding N=8 supergravity integrand, whose graph numerators are double copies (squares) numerators. success this procedure provides further nontrivial evidence that double-copy...
We present the complete integrands of five-point superamplitudes in N=4 super-Yang-Mills theory and N=8 supergravity, at one two loops, for four-dimensional external states D-dimensional internal kinematics. For we give amplitudes general gauge group -- including all non-planar contributions. The results are constructed using integral diagrams that manifestly satisfy conjectured duality between color kinematics, providing additional nontrivial evidence favor multipoint multiloop amplitudes....
Large scale structure surveys promise to be the next leading probe of cosmological information. It is therefore crucial reliably predict their observables. The Effective Field Theory Scale Structures (EFTofLSS) provides a manifestly convergent perturbation theory for weakly non-linear regime dark matter, where correlation functions are computed in an expansion wavenumber k mode over associated with k_nl. Since most information contained at high wavenumbers, it necessary compute higher order...
This review describes the duality between color and kinematics its applications, with aim of gaining a deeper understanding perturbative structure gauge gravity theories. We emphasize, in particular, applications to loop-level calculations, broad web theories linked by associated double-copy structure, issue extending double copy beyond scattering amplitudes. The is aimed at doctoral students junior researchers both inside outside field amplitudes accompanied various exercises.
Abstract This review describes the duality between color and kinematics its applications, with aim of gaining a deeper understanding perturbative structure gauge gravity theories. We emphasize, in particular, applications to loop-level calculations, broad web theories linked by associated double-copy structure, issue extending double copy beyond scattering amplitudes. The is aimed at doctoral students junior researchers both inside outside field amplitudes accompanied various exercises.
Abstract Advances in scattering amplitudes have exposed previously-hidden color-kinematics and double-copy structures theories ranging from gauge gravity to effective field such as chiral perturbation theory the Born–Infeld model. These novel both simplify higher-order calculations pose tantalizing questions related a unified framework underlying relativistic quantum theories. This introductory mini-review article invites further exploration of these topics. After brief introduction duality...
We construct the three-loop four-point amplitude of N=8 supergravity using unitarity method. The is ultraviolet finite in four dimensions. Novel cancellations, not predicted by traditional superspace power-counting arguments, render its degree divergence D dimensions no worse than that N=4 super-Yang-Mills theory--a theory Similar cancellations can be identified at all loop orders certain cuts, suggesting may a perturbatively quantum gravity.
We present an Ansatz for the planar five-loop four-point amplitude in maximally supersymmetric Yang-Mills theory terms of loop integrals. This exploits recently observed correspondence between integrals with simple conformal properties and those found amplitudes through four loops. explain how to identify all such systematically. make use generalized unitarity both $D$ dimensions determine coefficients each these amplitude. Maximal cuts, which we cut propagators a given integral, are...
Using the method of maximal cuts, we obtain a form three-loop four-point scattering amplitude $\mathcal{N}=8$ supergravity in which all ultraviolet cancellations are made manifest. The Feynman loop integrals that appear have graphical representation with only cubic vertices, and numerator factors quadratic momenta, rather than quartic as previous form. This behavior reflects beyond those required for finiteness, matches $\mathcal{N}=4$ super-Yang-Mills theory. By direct integration confirm...
Inflationary $\ensuremath{\alpha}$-attractor models in supergravity, which provide excellent fits to the latest observational data, are based on Poincar\'e disk hyperbolic geometry. We refine these by constructing K\"ahler potentials with built-in inflaton shift symmetry and making a canonical choice of Goldstino potential. The refined stable respect all scalar fields at $\ensuremath{\alpha}$; no additional stabilization terms required. potential $V$ has nearly Minkowski minimum small values...
We present the complete four-loop four-point amplitude in $\mathcal{N}=4$ super-Yang-Mills theory, for a general gauge group and $D$-dimensional covariant kinematics, including all nonplanar contributions. use method of maximal cuts---an efficient application unitarity method---to construct result terms 50 integrals. give graphical rules, valid $D$ dimensions, obtaining various contributions from previously-determined terms. examine ultraviolet behavior near $D=11/2$. The are as well-behaved...
Cosmological alpha-attractors give a natural explanation for the spectral index n_s of inflation as measured by Planck while predicting range tensor-to-scalar ratio r, consistent with all observations, to be more precisely in future detection gravity waves. Their embedding into supergravity exploits hyperbolic geometry Poincare disk or half-plane. These geometries are isometric under Mobius transformations, which include shift symmetry inflaton field. We introduce new Kahler potential frame...
We develop four-parameter supergravity models of inflation and dark energy, constrained so that $$ \frac{\delta \rho }{\rho } , n s the cosmological constant Λ take their known observable values, but where mass gravitino m 3/2 tensor-to-scalar ratio r are free parameters. focus on generalized α-attractor models, with logarithmic Kähler potentials, a nilpotent goldstino spontaneously broken supersymmetry at de Sitter minimum. The future data B-modes will specify parameter α, measuring...
We use the recently developed generalized double-copy construction to obtain an improved representation of five-loop four-point integrand $N = 8$ supergravity whose leading ultraviolet behavior we analyze using state art loop-integral expansion and reduction methods. find that critical dimension where divergences first occur is $D_c=24/5$, corresponding a $D^8 R^4$ counterterm. This stands in contrast cases four-dimensional 4$ at three loops 5$ four demonstrates enhanced cancellations beyond...
Large scale structure surveys are likely the next leading probe of cosmological information. It is therefore crucial to reliably predict their observables. The Effective Field Theory Scale Structures (EFTofLSS) provides a manifestly convergent perturbation theory for weakly non-linear regime, where dark matter correlation functions computed in an expansion wavenumber k over associated kNL. To push predictions higher wavenumbers, it necessary compute 2-loop power spectrum. For equal-time...
We use the recently developed generalized double-copy procedure to construct an integrand for five-loop four-point amplitude of N=8 supergravity. This construction starts from a naive double copy previously computed corresponding N=4 super-Yang-Mills theory. is then systematically modified by adding contact terms generated in context method maximal unitarity cuts. For simpler cuts, whose tend be most complicated, we derive set formulas relating contributions violations dual Jacobi identities...
We present a new method for calculating loops in cosmological perturbation theory. This is based on approximating $\Lambda$CDM-like cosmology as finite sum of complex power-law universes. The decomposition naturally achieved using an FFTLog algorithm. For cosmologies, all loop integrals are formally equivalent to massless quantum field These have analytic solutions terms generalized hypergeometric functions. provide explicit formulae the one-loop and two-loop power spectrum bispectrum. A...
In this paper we derive the tree-level S-matrix of effective theory Goldstone bosons known as non-linear sigma model (NLSM) from string theory. This novel connection relies on a recent realization open-superstring pre-dictions double copy super-Yang-Mills with Z-theory — collection putative scalar field theories encoding all α′-expansion open super-string. Here identify color-ordered amplitudes NLSM low-energy limit abelian Z-theory. also provides natural higher-derivative corrections to...
This is an introduction to, and invitation to read, a series of review articles on scattering amplitudes in gauge theory, gravity, superstring theory. Our aim provide overview the field, from basic aspects selection current (2022) research developments.
A bstract We identify novel structure in newly computed multi-loop amplitudes and quantum actions for even-point effective field theories, including both the nonlinear sigma model (NLSM) double-copy gauge theories such as Born-Infeld its supersymmetric generalizations. exploit special properties of all towards establishing an efficient unitarity based amplitude construction. In doing so, we find evidence that leading IR divergence NLSM exponentiates when target space is $$ \mathbbm{CP}...