scholarly journals N3LO gravitational quadratic-in-spin interactions at G4

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Michèle Levi ◽  
Andrew J. McLeod ◽  
Matthew von Hippel
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Linear Order ◽  
Effective Field ◽  
Compact Objects ◽  
Spin Orbit ◽  
Spinning Particle ◽  
Transcendental Numbers ◽  
Spin Interactions ◽  
First Time

Abstract We compute the N3LO gravitational quadratic-in-spin interactions at G4 in the post-Newtonian (PN) expansion via the effective field theory (EFT) of gravitating spinning objects for the first time. This result contributes at the 5PN order for maximally-spinning compact objects, adding the spinning case to the static sector at this PN accuracy. This sector requires extending the EFT of a spinning particle beyond linear order in the curvature to include higher-order operators quadratic in the curvature that are relevant at this PN order. We make use of a diagrammatic expansion in the worldline picture, and rely on our recent upgrade of the EFTofPNG code, which we further extend to handle this sector. Similar to the spin-orbit sector, we find that the contributing three-loop graphs give rise to divergences, logarithms, and transcendental numbers. However, in this sector all of these features conspire to cancel out from the final result, which contains only finite rational terms.

scholarly journals N3LO gravitational spin-orbit coupling at order G4

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Michèle Levi ◽  
Andrew J. McLeod ◽  
Matthew von Hippel
Keyword(s):  
Effective Field Theory ◽  
Dimensional Regularization ◽  
Effective Field ◽  
Compact Objects ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Transcendental Numbers ◽  
Integration Techniques ◽  
First Time

Abstract In this paper we derive for the first time the N3LO gravitational spin-orbit coupling at order G4 in the post-Newtonian (PN) approximation within the effective field theory (EFT) of gravitating spinning objects. This represents the first computation in a spinning sector involving three-loop integration. We provide a comprehensive account of the topologies in the worldline picture for the computation at order G4. Our computation makes use of the publicly-available EFTofPNG code, which is extended using loop-integration techniques from particle amplitudes. We provide the results for each of the Feynman diagrams in this sector. The three-loop graphs in the worldline picture give rise to new features in the spinning sector, including divergent terms and logarithms from dimensional regularization, as well as transcendental numbers, all of which survive in the final result of the topologies at this order. This result enters at the 4.5PN order for maximally-rotating compact objects, and together with previous work in this line, paves the way for the completion of this PN accuracy.

scholarly journals Spin effects in the effective field theory approach to Post-Minkowskian conservative dynamics

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Zhengwen Liu ◽  
Rafael A. Porto ◽  
Zixin Yang
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Scattering Problem ◽  
Finite Size ◽  
Effective Field ◽  
Compact Objects ◽  
Scattering Data ◽  
Theory Approach ◽  
Spin Effects ◽  
Radial Action

Abstract Building upon the worldline effective field theory (EFT) formalism for spinning bodies developed for the Post-Newtonian regime, we generalize the EFT approach to Post-Minkowskian (PM) dynamics to include rotational degrees of freedom in a manifestly covariant framework. We introduce a systematic procedure to compute the total change in momentum and spin in the gravitational scattering of compact objects. For the special case of spins aligned with the orbital angular momentum, we show how to construct the radial action for elliptic-like orbits using the Boundary-to-Bound correspondence. As a paradigmatic example, we solve the scattering problem to next-to-leading PM order with linear and bilinear spin effects and arbitrary initial conditions, incorporating for the first time finite-size corrections. We obtain the aligned-spin radial action from the resulting scattering data, and derive the periastron advance and binding energy for circular orbits. We also provide the (square of the) center-of-mass momentum to $$ \mathcal{O}\left({G}^2\right) $$ O G 2 , which may be used to reconstruct a Hamiltonian. Our results are in perfect agreement with the existent literature, while at the same time extend the knowledge of the PM dynamics of compact binaries at quadratic order in spins.

scholarly journals NLO gravitational quartic-in-spin interaction

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Michèle Levi ◽  
Fei Teng
Keyword(s):  
Effective Field ◽  
Compact Objects ◽  
Spin Interaction ◽  
Wilson Coefficient ◽  
Spinning Particle ◽  
Compact Binaries ◽  
New Type ◽  
Higher Spins ◽  
First Time ◽  
Quadratic Order

Abstract In this paper we derive for the first time the complete gravitational quartic-in-spin interaction of generic compact binaries at the next-to-leading order in the post-Newtonian (PN) expansion. The derivation builds on the effective field theory for gravitating spinning objects, and its recent extensions, in which new type of worldline couplings should be considered, as well as on the extension of the effective action of a spinning particle to quadratic order in the curvature. The latter extension entails a new Wilson coefficient that appears in this sector. This work pushes the precision frontier with spins at the fifth PN (5PN) order for maximally-spinning compact objects, and at the same time informs us of the gravitational Compton scattering with higher spins.

scholarly journals Derivation of the Lamb shift using an effective field theory

1999 ◽  
Vol 77 (4) ◽  
pp. 267-278 ◽  
Author(s):  
P Labelle ◽  
S M Zebarjad
Keyword(s):  
Field Theory ◽  
Effective Field Theories ◽  
Effective Field Theory ◽  
Lamb Shift ◽  
Multipole Expansion ◽  
Effective Field ◽  
Field Theories ◽  
Modern Language ◽  
First Time ◽  
Special Case

We rederive the Ο(α5) shift of the hydrogen levels in the nonrecoil limit (me/mP →> 0) using an extension of nonrelativistic QED (NRQED), an effective field theory developed by Caswell and Lepage. Our result contains the Lamb shift as a special case. Although this calculation is not new, it is presented here for the first time using the modern language of effective field theories. It clearly illustrates the usefulness of applying a multipole expansion to the NRQED vertices.PACS Nos.: 31.30Jv, 31.15Ar, 31.15Md, and 11.10St

scholarly journals Effective Field Theory Treatment of Monopole Production by Drell–Yan and Photon Fusion for Various Spins

Proceedings ◽  
2019 ◽  
Vol 13 (1) ◽  
pp. 1
Author(s):  
Stephanie Baines
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
High Energy Physics ◽  
Research Work ◽  
Magnetic Coupling ◽  
High Energy ◽  
Effective Field ◽  
Effective Theory ◽  
Spin Interactions ◽  
Analytical Expressions

A resolution over the existence of magnetic charges has eluded the high energy physics community for centuries, and their search has gained momentum as recent models predict these may be observable at current colliders. They appear in field theories in two forms: the widely studied but heavily suppressed monopole with structure (soliton) and the not-so-well-covered point-like monopole. The latter was first proposed by Dirac as the source of a singular magnetic field and in effect symmetrises Maxwell’s equations. Following this line of research, work by S. Baines et al. analysed these sources as matter fields that carry spins 0, 1 2 , or 1, in an effective field theory that is perturbative for monopoles produced at threshold where the coupling strength g ( β ) is suppressed. All three cases are currently under investigation by the MoEDAL collaboration at CERN, and the theoretical expressions for kinematic distributions proposed in this work serve as guides to these searches. The cross section distributions in each case are derived from a U(1) invariant gauge theory. It is not assumed that, like the electron, the monopole’s magnetic moment is generated through spin interactions at minimal coupling, as it may be quite large. Instead, the analytical expressions in the spin 1 2 and 1 cases are kept completely general through the inclusion of a phenomenological parameter κ , related to the gyromagnetic ratio g R = 1 + κ . In fact, the inclusion of this parameter gives the effective theory validity in the high energy limit if the magnetic coupling scales with the particle’s velocity β = v c .

scholarly journals Radiation reaction for spinning bodies in effective field theory. I. Spin-orbit effects

2017 ◽  
Vol 96 (8) ◽  
Author(s):  
Natália T. Maia ◽  
Chad R. Galley ◽  
Adam K. Leibovich ◽  
Rafael A. Porto
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Radiation Reaction ◽  
Effective Field ◽  
Spin Orbit ◽  
Spinning Bodies
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