A5103199365- Black Holes and Theoretical Physics
- Particle physics theoretical and experimental studies
- Cosmology and Gravitation Theories
- Quantum Chromodynamics and Particle Interactions
- Pulsars and Gravitational Waves Research
- Relativity and Gravitational Theory
- Noncommutative and Quantum Gravity Theories
- Geophysics and Gravity Measurements
- Astrophysical Phenomena and Observations
- Computational Physics and Python Applications
- High-Energy Particle Collisions Research
- Cold Atom Physics and Bose-Einstein Condensates
- Quantum Mechanics and Applications
- Quantum chaos and dynamical systems
- Atomic and Subatomic Physics Research
- Quantum and Classical Electrodynamics
- Quantum Mechanics and Non-Hermitian Physics
- Physics of Superconductivity and Magnetism
- Polynomial and algebraic computation
- Orbital Angular Momentum in Optics
- Crystallography and Radiation Phenomena
- Experimental and Theoretical Physics Studies
- Algebraic and Geometric Analysis
- Algorithms and Data Compression
- International Science and Diplomacy
University of Copenhagen
2013-2024
Niels Brock
2009-2024
Albert Einstein College of Medicine
2008-2009
Institute for Advanced Study
2006-2009
CEA Paris-Saclay
2008
Centre National de la Recherche Scientifique
2008
Centre de Génétique Moléculaire
2008
Institut de Physique Théorique
2008
Commissariat à l'Énergie Atomique et aux Énergies Alternatives
2008
Swansea University
2004-2007
Identities based on monodromy for integrations in string theory are used to derive relations between different color-ordered tree-level amplitudes both bosonic and supersymmetric theory. These imply that the $n$-point gauge can be expanded a minimal basis of $(n\ensuremath{-}3)!$ amplitudes. This result holds any choice polarizations external states number dimensions.
Weoutline the program to apply modern quantum field theory methods calculate observables in classical general relativity through a truncation terms of multigraviton, two-body, on-shell scattering amplitudes between massive fields. Since only long-distance interactions corresponding nonanalytic pieces need be included, unitarity cuts provide substantial simplifications for both post-Newtonian and post-Minkowskian expansions. We illustrate this theoretic approach by computing interaction...
We compute the leading post-Newtonian and quantum corrections to Coulomb Newtonian potentials using full modern arsenal of on-shell techniques; we employ spinor-helicity variables everywhere, use Kawai-Lewellen-Tye (KLT) relations derive gravity amplitudes from gauge theory unitarity methods extract terms needed at one-loop order. stress that our results are universal thus will hold in any with same low-energy degrees freedom as considering. Previous for potentials, derived historically...
We describe the computation of post-Minkowskian Hamiltonians in general relativity from scattering amplitudes. Using a relativistic Lippmann-Schwinger equation, we relate perturbative amplitudes massive scalars coupled to gravity classical any order Newton's constant. illustrate this by deriving Hamiltonian for binary black holes without spin up second expansion and explicitly demonstrate equivalence with recently proposed method based on an effective field theory matching.
A bstract We compute the scattering amplitude for classical black-hole to third order in Post-Minkowskian expansion, keeping all terms needed derive angle that from eikonal formalism. Our results confirm a conjectured relation between real and imaginary parts of by Di Vecchia, Heissenberg, Russo, Veneziano, are agreement with recent computation Damour based on radiation reaction general relativity.
We treat general relativity as an effective field theory, obtaining the full nonanalytic component of scattering matrix potential to one-loop order. The lowest order vertex rules for resulting theory are presented and diagrams which yield leading nonrelativistic post-Newtonian quantum corrections gravitational amplitude second in G calculated detail. Fourier transformed amplitudes a our result is discussed relation previous calculations. definition well, we show that ambiguity under...
We examine the corrections to lowest order gravitational interactions of massive particles arising from radiative corrections. show how masslessness graviton and self-interactions imply presence nonanalytic pieces $\ensuremath{\sim}\sqrt{\ensuremath{-}{q}^{2}},\ensuremath{\sim}{q}^{2}\mathrm{ln}\ensuremath{-}{q}^{2},$ etc., in form factors energy-momentum tensor that these correspond long range modifications metric ${g}_{\ensuremath{\mu}\ensuremath{\nu}}$...
We derive an explicit formula for factorizing $n$-point closed string amplitude into open amplitudes. Our results are phrased in terms of a momentum kernel which the limit infinite tension reduces to corresponding field theory kernel. The same encodes monodromy relations lead minimal basis color-ordered amplitudes Yang-Mills theory. There interesting consequences pertaining soft limits also comment on surprising links between gravity and certain combinations kinematic color factors gauge
We consider the scattering of lightlike matter in presence a heavy scalar object (such as Sun or Schwarzschild black hole). By treating general relativity an effective field theory we directly compute nonanalytic components one-loop gravitational amplitude for massless scalars photons from external massive field. These results allow semiclassical computation bending angle light rays grazing Sun, including long-range ℏ contributions. discuss implications this computation, particular,...
Tree-level amplitudes of gauge theories are expressed in a basis auxiliary with only cubic vertices. The vertices this formalism explicitly factorized color and kinematics, clarifying the color-kinematics duality theory amplitudes. is constructed making use KK BCJ relations, thereby showing precisely how these relations underlie duality. We express gravity terms related color-dressed amplitudes, coefficients which permutation symmetric.
Using only general features of the S-matrix and quantum field theory, we prove by induction Kawai-Lewellen-Tye relations that link products gauge theory amplitudes to gravity at tree level. As a bonus our analysis, provide novel more symmetric form these relations. We also establish an infinite tower new identities between in theories.
Using the implicit function theorem we demonstrate that solutions to classical part of relativistic Lippmann-Schwinger equation are in one-to-one correspondence with those energy a two-body system. A corollary is scattering angle can be computed from amplitude itself, without having introduce potential. All results universal and provide for case general relativity very simple formula terms amplitude, any order post-Minkowskian expansion.
We describe an efficient method for extracting the parts of $D$-dimensional loop integrals that are needed to derive observables in classical general relativity from scattering amplitudes. Our approach simplifies soft-region integration by judiciously combining terms before final integrations. demonstrate computing required black-hole second Post-Minkowskian order Einstein gravity coupled scalars. also confirm recent results at third regarding universality and high-energy behavior...
We prove that the scattering equation formalism for Yang-Mills amplitudes can be used to make manifest theory's color-kinematics duality. This is achieved through a concrete reduction algorithm which renders this duality term-by-term. The follows from recently derived set of identities expressed in are analogous monodromy relations string theory. A byproduct our generalization among gravity and amplitudes.
Abstract The post-Minkowskian expansion of Einstein’s general theory relativity has received much attention in recent years due to the possibility harnessing computational power modern amplitude calculations such a classical context. In this brief review, we focus on as applied two-body problem without spin, and describe how relativistic quantum field can be used greatly simplify analytical based Einstein–Hilbert action. Subtleties related extraction physics from mechanical highlight care...
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 consider gravitational massive scalar-scalar scattering from unitarity and demonstrate how intermediate soft graviton behavior the concept of extracting classical physics localization integrands on velocity cuts devise an efficient extraction scheme for computing post-Minkowskian radial action perturbatively. computational efficiency by deriving amplitudes in probe regime to fifth order arbitrary dimensions.
A bstract We introduce a novel bootstrap method for heavy-mass effective field theory classical Compton scattering amplitudes involving two massless particles and arbitrary-spin infinite-mass limit particles. Using suitable ansatz, we deduce new explicit spin results gluon four five-point infinite mass processes that exhibit certain exponentiated three-point tree-level factorizations feature no spurious poles. discuss the generalization of our to higher multiplicities summarize future...
We develop a novel amplitude bootstrap technique manifestly free of unphysical poles for classically spinning particles interacting with gravitons utilizing only the double-copy and physical factorization limits. Combined nonfactorization polynomial contact contributions from data Kerr black holes, we can address high-spin-order covariant gravitational Compton amplitudes, identifying pattern that believe could extend to all orders in spin. Finally, outline applications outstanding questions.
We discuss monodromy relations between different color-ordered amplitudes in gauge theories. show that Jacobi-like of Bern, Carrasco and Johansson can be introduced a manner is compatible with these relations. The are not the most general set equations satisfy this criterion. Applications to supergravity follow straightforwardly through KLT-relations. explicitly how tree-level give rise non-trivial identities at loop level.
Scattering equations for tree-level amplitudes are viewed in the context of string theory. As a result comparison we led to define new dual model which coincides with theory both small and large $\alpha'$ limit, whose solution is found algebraically on surface solutions scattering equations. Because it has support only equations, can be solved exactly, yielding simple resummed $\alpha'$-corrections all orders. We use same idea generalize fermions any mixture scalars, gluons fermions. In...
As described by Cachazo, He and Yuan, scattering amplitudes in many quantum field theories can be represented as integrals that are fully localized on solutions to the so-called equations. Because number of equations grows quite rapidly, contour integration involves contributions from isolated components. In this paper, we provide a simple, combinatorial rule immediately provides result against equation constraints fo any Möbius-invariant integrand involving only simple poles. These rules...
We consider scattering in quantum gravity and derive long-range classical contributions to the of light-like bosons fermions (spin-0, spin- $$ \frac{1}{2} , spin-1) from an external massive scalar field, such as Sun or a black hole. This is achieved by treating general relativity effective field theory identifying non-analytic pieces one-loop gravitational amplitude. It emphasized throughout paper how modern amplitude techniques, involving spinor-helicity variables, unitarity, squaring...
We use the feature that gravitational Compton scattering amplitude factorizes in terms of Abelian QED amplitudes to evaluate various processes. examine both and from a massive spin-1 system by helicity methods. In case we show how massless limit can be used cross section for graviton-photon discuss difference between photon interactions zero mass limit. forward graviton photoproduction has very peculiar behavior, differing standard Thomson Rutherford sections Coulomb-like potential.