Impact of dipolar magnetic fields on gravitational wave strain by galactic binaries

Bourgoin, Adrien; Poncin-Lafitte, Christophe Le; Mathis, Stéphane; Angonin, Marie-Christine

doi:10.48550/arxiv.2201.03226

Cited by 3 publications

(6 citation statements)

References 55 publications

(114 reference statements)

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“…This work focuses on monochromatic gravitational waves. However, generalization to more general wave forms (as observed in realistic systems [7,8]) is feasible, and we leave that for future work. Our two-point functions resum all powers of gravitational strain, and thus allow to study both linear and non-linear effects.…”

Section: Discussionmentioning

confidence: 99%

“…such that det[g µν ] = −1/4. 7 Performing the same type of Fourier transformation as in (2.9), where now the invariant phase is…”

Section: Quantization In Lightcone Coordinatesmentioning

confidence: 99%

“…(62) of Ref. [7,8]; however the phase difference between the two polarization remains π/2. Since most of the binary systems have excentric orbits, polarized gravitational waves are ubiquitous.…”

Section: Scalar Propagatormentioning

confidence: 99%

“…18 Gravitational waves with higher frequency overtones can be generated, for example, by spinning binary systems and by systems endowed with strong magnetic fields [7].…”

Section: Appendix A: Propagator Integralmentioning

confidence: 99%

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Scalar propagator for planar gravitational waves

Haasteren¹,

Prokopec²

2022

Preprint

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We construct the massive scalar propagator for planar gravitational wave backgrounds propagating on Minkowski space. We represent the propagator in terms of the Bessel's function of suitably deformed nonlocal distance functions, the deformation being caused by gravitational waves. We calculate the propagator both for nonpolarized, for the plus (+) and cross (×) polarized plane waves, as well as for more general planar waves in D spacetime dimensions. The propagator is useful for studying interactions of scalar fields on planar gravitational wave backgrounds in the context of interacting quantum fields, in which renormalization plays a crucial role. As simple applications of the propagator we calculate the one-loop effective action, the scalar mass generated by the scalar self-interaction term and the one-loop energy-momentum tensor, all renormalized by using dimensional regularization and renormalization. While the effective action and scalar mass remain unaffected by gravitational waves, the energy-momentum tensor exhibits flow of energy density in the direction of gravitational waves which grows quadratically with the scalar field mass, gravitational wave amplitude and its frequency.

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Section: Discussionmentioning

confidence: 99%

“…such that det[g µν ] = −1/4. 7 Performing the same type of Fourier transformation as in (2.9), where now the invariant phase is…”

Section: Quantization In Lightcone Coordinatesmentioning

confidence: 99%

Section: Scalar Propagatormentioning

confidence: 99%

“…18 Gravitational waves with higher frequency overtones can be generated, for example, by spinning binary systems and by systems endowed with strong magnetic fields [7].…”

Section: Appendix A: Propagator Integralmentioning

confidence: 99%

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Scalar propagator for planar gravitational waves

Haasteren¹,

Prokopec²

2022

Preprint

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“…(n) ij are the (time independent) gravitational field amplitudes and phases of the n-th harmonic. Such gravitational waves are formed by binary systems whose components harbor angular momentum and/or strong magnetic fields [13,14]. It is important to keep in mind that, even when gravitational waves are nonpolarized, the perceived amplitudes of the + and × polarizations will differ, unless the source is face on, i.e.…”

Section: Gravitational Wavesmentioning

confidence: 99%

Gravitational wave signals in an Unruh-de Witt detector

Prokopec¹

2022

Preprint

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We firstly generalize the massive scalar propagator for gravitational waves propagating on Minkowski space obtained recently in Ref. [1]. We then use this propagator to study the response of a freely falling Unruh-de Witt detector to a gravitational wave backg round. We find that a freely falling detector completely cancels the effect of the deformation of the invariant distance induced by the gravitational waves, such that the only effect comes from an increased average size of scalar field vacuum fluctuations, the origin of which can be traced back to the change of the surface in which the gravitational waves fluctuate. When resummed over classical graviton insertions, gravitational waves generate cuts on the imaginary axis of the complex ∆τ -plane (where ∆τ = τ − τ denotes the difference of proper times), and the discontinuity accross these cuts is responsible for a continuum of energy transitions induced in the Unruh-de Witt detector. Not surprisingly, we find that the detector's transition rate is exponentially suppressed with increasing energy and the mass of the scalar field. What is surprising, however, is that the transition rate is nonanalytic function of the gravitational field strain. This means that, no matter how small is the gravitational field amplitude, expanding in powers of the gravitational field strain cannot approximate well the detector's transition rate. We present numerical and approximate analytical results for the detector's transition rate both for nonpolarized and for selected polarized monochromatic, unidirectional, gravitational waves.

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Gravitational wave signals in an Unruh–DeWitt detector

Prokopec¹

2023

Class. Quantum Grav.

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We ﬁrstly generalize the massive scalar propagator for gravitational waves propagating on Minkowski space obtained recently in Ref. [1]. We then use this propagator to study the response of a freely falling Unruh-DeWitt detector to a gravitational wave backg round. We ﬁnd that a freely falling detector completely cancels the eﬀect of the deformation of the invariant distance induced by the gravitational waves, such that the only eﬀect comes from an increased average size of scalar ﬁeld vacuum ﬂuctuations, the origin of which can be traced back to the change of the surface in which the gravitational waves ﬂuctuate. The effect originates from the quantum interference between propagation on off-shell detector's trajectories which probe different spatial gravitational potential induced by the gravitational backreaction from gravitational waves, and it is therefore purely quantum. When resummed over classical graviton insertions, gravitational waves generate cuts on the imaginary axis of the complex ∆τ-plane (where ∆τ = τ − τ′ denotes the diﬀerence of proper times), and the discontinuity accross these cuts is responsible for a continuum of energy transitions induced in the Unruh-DeWitt detector. Not suprizingly, we ﬁnd that the detector’s transition rate is exponentially suppressed with increasing energy and the mass of the scalar ﬁeld. What is surprizing, however, is that the transition rate is nonanalytic function of the gravitational ﬁeld strain. This means that, no matter how small is the gravitational ﬁeld amplitude, expanding in powers of the gravitational ﬁeld strain cannot approximate well the detector’s transition rate. We present numerical and approximate analytical results for the detector’s transition rate both for nonpolarized and for selected polarized monochromatic, unidirectional, gravitational waves.

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Impact of dipolar magnetic fields on gravitational wave strain by galactic binaries

Cited by 3 publications

References 55 publications

Scalar propagator for planar gravitational waves

Scalar propagator for planar gravitational waves

Gravitational wave signals in an Unruh-de Witt detector

Gravitational wave signals in an Unruh–DeWitt detector

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