scholarly journals Quadratic-in-spin Hamiltonian at $$ \mathcal{O} $$(G2) from scattering amplitudes

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Dimitrios Kosmopoulos ◽  
Andres Luna
Keyword(s):  
Field Theory ◽  
General Relativity ◽  
Scattering Amplitudes ◽  
Effective Field Theory ◽  
Effective Field ◽  
Spin Hamiltonian ◽  
Minimal Coupling ◽  
Spinning Bodies

Abstract We obtain the quadratic-in-spin terms of the conservative Hamiltonian describing the interactions of a binary of spinning bodies in General Relativity through $$ \mathcal{O} $$ O (G2) and to all orders in velocity. Our calculation extends a recently-introduced framework based on scattering amplitudes and effective field theory to consider non-minimal coupling of the spinning objects to gravity. At the order that we consider, we establish the validity of the formula proposed in [1] that relates the impulse and spin kick in a scattering event to the eikonal phase.

scholarly journals Effective field theory, past and future

2016 ◽  
Vol 31 (06) ◽  
pp. 1630007 ◽  
Author(s):  
Steven Weinberg
Keyword(s):  
Field Theory ◽  
General Relativity ◽  
Effective Field Theories ◽  
Standard Model ◽  
Effective Field Theory ◽  
Effective Field ◽  
Field Theories ◽  
Strong Interactions ◽  
The Standard Model ◽  
Theory Of Gravitation

I reminisce about the early development of effective field theories of the strong interactions, comment briefly on some other applications of effective field theories, and then take up the idea that the Standard Model and General Relativity are the leading terms in an effective field theory. Finally, I cite recent calculations that suggest that the effective field theory of gravitation and matter is asymptotically safe.

scholarly journals Radiation reaction for spinning bodies in effective field theory. II. Spin-spin 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 Effects ◽  
Spinning Bodies

scholarly journals Yang-Mills observables: from KMOC to eikonal through EFT

2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Leonardo de la Cruz ◽  
Andres Luna ◽  
Trevor Scheopner
Keyword(s):  
Field Theory ◽  
Scattering Amplitudes ◽  
Effective Field Theory ◽  
Effective Field ◽  
Direct Integration ◽  
Spinning Particles ◽  
Yang Mills ◽  
Domain Of Applicability

Abstract We obtain a conservative Hamiltonian describing the interactions of two charged bodies in Yang-Mills through $$ \mathcal{O}\left({\alpha}^2\right) $$ O α 2 and to all orders in velocity. Our calculation extends a recently-introduced framework based on scattering amplitudes and effective field theory (EFT) to consider color-charged objects. These results are checked against the direct integration of the observables in the Kosower-Maybee-O’Connell (KMOC) formalism. At the order we consider we find that the linear and color impulses in a scattering event can be concisely described in terms of the eikonal phase, thus extending the domain of applicability of a formula originally proposed in the context of spinning particles.

scholarly journals Gravitational-wave constraints on an effective-field-theory extension of general relativity

2020 ◽  
Vol 102 (4) ◽  
Author(s):  
Noah Sennett ◽  
Richard Brito ◽  
Alessandra Buonanno ◽  
Victor Gorbenko ◽  
Leonardo Senatore
Keyword(s):  
Field Theory ◽  
General Relativity ◽  
Gravitational Wave ◽  
Effective Field Theory ◽  
Effective Field ◽  
Theory Extension

scholarly journals Uncovering the effective spacetime: Lessons from the effective field theory rationale

2015 ◽  
Vol 24 (12) ◽  
pp. 1544019 ◽  
Author(s):  
Carlos Barceló ◽  
Raúl Carballo-Rubio ◽  
Luis J. Garay
Keyword(s):  
Field Theory ◽  
General Relativity ◽  
Cosmological Constant ◽  
Effective Field Theory ◽  
High Energy ◽  
Effective Field ◽  
Effective Theory ◽  
Particle Spectrum ◽  
Low Energies ◽  
Minimal Modification

The cosmological constant problem can be understood as the failure of the decoupling principle behind effective field theory, so that some quantities in the low-energy theory are extremely sensitive to the high-energy properties. While this reflects the genuine character of the cosmological constant, finding an adequate effective field theory framework which avoids this naturalness problem may represent a step forward to understand nature. Following this intuition, we consider a minimal modification of the structure of general relativity which as an effective theory permits to work consistently at low energies, i.e. below the quantum gravity scale. This effective description preserves the classical phenomenology of general relativity and the particle spectrum of the standard model, at the price of changing our conceptual and mathematical picture of spacetime.

scholarly journals How general relativity and Lorentz covariance arise from the spatially-covariant effective field theory of the transverse, traceless graviton

2014 ◽  
Vol 23 (12) ◽  
pp. 1442012 ◽  
Author(s):  
Justin Khoury ◽  
Godfrey E. J. Miller ◽  
Andrew J. Tolley
Keyword(s):  
Field Theory ◽  
General Relativity ◽  
Effective Field Theory ◽  
Degrees Of Freedom ◽  
Effective Field ◽  
Point Of View ◽  
Low Energy ◽  
Fundamental Physics ◽  
Lorentz Covariance

Traditional derivations of general relativity (GR) from the graviton degrees of freedom assume spacetime Lorentz covariance as an axiom. In this paper, we survey recent evidence that GR is the unique spatially-covariant effective field theory of the transverse, traceless graviton degrees of freedom. The Lorentz covariance of GR, having not been assumed in our analysis, is thus plausibly interpreted as an accidental or emergent symmetry of the gravitational sector. From this point of view, Lorentz covariance is a necessary feature of low-energy graviton dynamics, not a property of spacetime. This result has revolutionary implications for fundamental physics.

scholarly journals Spinning black hole binary dynamics, scattering amplitudes, and effective field theory

2021 ◽  
Vol 104 (6) ◽  
Author(s):  
Zvi Bern ◽  
Andres Luna ◽  
Radu Roiban ◽  
Chia-Hsien Shen ◽  
Mao Zeng
Keyword(s):  
Field Theory ◽  
Black Hole ◽  
Scattering Amplitudes ◽  
Effective Field Theory ◽  
Effective Field ◽  
Black Hole Binary
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