All things retarded: radiation-reaction in worldline quantum field theory

Jakobsen, Gustav Uhre; Mogull, Gustav; Plefka, Jan; Sauer, Benjamin

doi:10.1007/jhep10(2022)128

Cited by 60 publications

(27 citation statements)

References 105 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this paper, we upgrade these observables to include radiation-reaction (dissipative) effects, using the Schwinger-Keldysh in-in formalism [76][77][78][79][80] that has recently been incorporated into both the WQFT and PMbased worldline EFT frameworks [63,67]. Our results confirm the radiated four-momentum P µ rad recently predicted with the worldline EFT approach [75].…”

supporting

confidence: 77%

“…For full details, see Ref. [63]. Fortunately, when performing calculations there is no need to double degrees of freedom in this way.…”

Section: Wqft In-in Formalismmentioning

confidence: 99%

“…The key insight of Ref. [63] was that tree-level single-operator expectation values (24) are produced using precisely the same Feynman rules as in the in-out formalism, but with retarded propagators pointing towards the outgoing line. The retarded graviton propagator is…”

Section: Wqft In-in Formalismmentioning

confidence: 99%

“…These integrals with retarded propagators were discussed at length in Ref. [63]: propagators D 4 -D 7 are prevented from going on-shell by the requirement that 1 • v 2 = 2 • v 1 = 0, so we can safely ignore their i0 prescriptions. We also require…”

Section: Radiative Observablesmentioning

confidence: 99%

“…The Worldline Quantum Field Theory (WQFT) is a new formalism for producing gravitational scattering observables [55][56][57][58][59][60][61][62][63]. It builds on the highly successful PMbased worldline EFT approach [64], which has been used to produce scattering observables at 3PM [65][66][67] and 4PM orders [68][69][70][71]; the worldline EFT has also produced gravitational Bremsstrahlung and radiative observables including tidal effects and spin [72][73][74][75].…”

mentioning

confidence: 99%

See 4 more Smart Citations

Linear Response, Hamiltonian and Radiative Spinning Two-Body Dynamics

Jakobsen¹,

Mogull²

2022

Preprint

View full text Add to dashboard Cite

Using the spinning, supersymmetric Worldline Quantum Field Theory formalism we compute the momentum impulse and spin kick from a scattering of two spinning black holes or neutron stars up to quadratic order in spin at third post-Minkowskian (PM) order, including radiation-reaction effects and with arbitrarily mis-aligned spin directions. Parts of these observables, both conservative and radiative, are also inferred from lower-PM scattering data by extending Bini and Damour's linear response formula. By solving Hamilton's equations of motion we also use a conservative scattering angle to infer a complete 3PM two-body Hamiltonian including finite-size corrections and misaligned spin-spin interactions. Finally, we describe mappings to the bound two-body dynamics for aligned spin vectors: including a numerical plot of the binding energy for circular orbits compared with numerical relativity, analytic confirmation of the NNLO PN binding energy and the energy loss over successive orbits.

show abstract

supporting

confidence: 77%

“…For full details, see Ref. [63]. Fortunately, when performing calculations there is no need to double degrees of freedom in this way.…”

Section: Wqft In-in Formalismmentioning

confidence: 99%

Section: Wqft In-in Formalismmentioning

confidence: 99%

Section: Radiative Observablesmentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations

Linear Response, Hamiltonian and Radiative Spinning Two-Body Dynamics

Jakobsen¹,

Mogull²

2022

Preprint

View full text Add to dashboard Cite

show abstract

Radiation-reaction in the Effective Field Theory approach to Post-Minkowskian dynamics

Kälin

Neef

Porto

2023

J. High Energ. Phys.

View full text Add to dashboard Cite

We extend the Post-Minkowskian (PM) effective field theory (EFT) approach to incorporate conservative and dissipative radiation-reaction effects in a unified framework. This is achieved by implementing the Schwinger-Keldysh “in-in” formalism and separating conservative and non-conservative terms according to the formulation in [1], which we show promotes Feynman’s i0-prescription and cutting rules to a prominent role at the classical level. The resulting integrals, involving both Feynman and retarded propagators, can be bootstrapped to all orders in the velocity via differential equations with boundary conditions including potential and radiation modes. As a paradigmatic example we provide an ab initio derivation of the classical solution to the scattering problem in general relativity to $$ \mathcal{O} $$ O (G3). For the sake of completeness, we also reproduce the leading order radiation-reaction effects in classical electrodynamics.

show abstract

Scattering amplitudes and N-body post-Minkowskian Hamiltonians in general relativity and beyond

Jones

Solon

2023

J. High Energ. Phys.

View full text Add to dashboard Cite

We present a general framework for calculating post-Minskowskian, classical, conservative Hamiltonians for N non-spinning bodies in general relativity from relativistic scattering amplitudes. Novel features for N > 2 are described including the subtraction of tree-like iteration contributions and the calculation of non-trivial many-body Fourier transform integrals needed to construct position space potentials. A new approach to calculating these integrals as an expansion in the hierarchical limit is described based on the method of regions. As an explicit example, we present the $$ \mathcal{O} $$ O (G2) 3-body momentum space potential in general relativity as well as for charged bodies in Einstein-Maxwell. The result is shown to be in perfect agreement with previous post-Newtonian calculations in general relativity up to $$ \mathcal{O} $$ O (G2v4). Furthermore, in appropriate limits the result is shown to agree perfectly with relativistic probe scattering in multi-center extremal black hole backgrounds and with the scattering of slowly-moving extremal black holes in the moduli space approximation.

show abstract

All things retarded: radiation-reaction in worldline quantum field theory

Cited by 60 publications

References 105 publications

Linear Response, Hamiltonian and Radiative Spinning Two-Body Dynamics

Linear Response, Hamiltonian and Radiative Spinning Two-Body Dynamics

Radiation-reaction in the Effective Field Theory approach to Post-Minkowskian dynamics

Scattering amplitudes and N-body post-Minkowskian Hamiltonians in general relativity and beyond

Contact Info

Product

Resources

About