A problem with δ-functions: stress-energy constraints on bulk-brane matching (with comments on arXiv:1508.01124)

Burgess, C.P.; Diener, Ross; Williams, Matthew R.

doi:10.1007/jhep01(2016)017

Cited by 12 publications

(49 citation statements)

References 35 publications

(97 reference statements)

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“…Our measure is computed on the unbinned TTE data and thus is limited only by the 2 µs clock of the GBM DPU. In Burgess et al (2017), we classified light curves into three classes: simple (consisting of only one significant bin), pulse-like (consisting of several significant contiguous bins) and complex (consisting of non-contiguous significant bins). We will examine the parameter distributions of both the combined and individual classes below.…”

Section: Resultsmentioning

confidence: 99%

“…Following our work in Burgess et al (2017), we apply a uniform methodology for background fitting, temporal binning, and time-resolved source selection. Each step is detailed in the following paragraphs.…”

Section: Methodsmentioning

confidence: 99%

“…Chruslinska et al 2017), it is obvious to ask for the detection of similar events in the GBM archival data which remained unrecognized as nearby mergers (e.g. Burgess et al 2017). This also includes the question as to whether or not it is possible to identify nearby binary neutron star mergers based on just the gamma-ray data and potential optical/NIR follow-up?…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Bayesian Fermi-GBM short GRB spectral catalogue

Burgess

Greiner

Bégué

et al. 2019

Monthly Notices of the Royal Astronomical Society

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With the confirmed detection of short gamma-ray burst (GRB) in association with a gravitational wave signal, we present the first fully Bayesian Fermi-GBM short GRB spectral catalog. Both peak flux and time-resolved spectral results are presented. Additionally, we release the full posterior distributions and reduced data from our sample. Following our previous study, we introduce three variability classes based of the observed light curve structure.

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Section: Resultsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Bayesian Fermi-GBM short GRB spectral catalogue

Burgess

Greiner

Bégué

et al. 2019

Monthly Notices of the Royal Astronomical Society

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“…Although these solutions can be written in terms of modified Bessel functions, we here instead analyze them in terms of confluent hypergeometric functions since this generalizes more easily to other applications (such as those in [1,2]). To this end we write the radial equation (2.8) in the form 15) where v = α − . This is put into the confluent hypergeometric form if we define ψ(z) = z l e −z/2 u(z), for z = 2κr and constant l satisfying l(l + d − 2) + v = 0, and so 10 given by l = 1 2 (2 − d + ζ).…”

Section: Bound Statesmentioning

confidence: 99%

Point-particle effective field theory I: classical renormalization and the inverse-square potential

Burgess

Hayman

Williams

et al. 2017

J. High Energ. Phys.

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109

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Singular potentials (the inverse-square potential, for example) arise in many situations and their quantum treatment leads to well-known ambiguities in choosing boundary conditions for the wave-function at the position of the potential's singularity. These ambiguities are usually resolved by developing a self-adjoint extension of the original problem; a non-unique procedure that leaves undetermined which extension should apply in specific physical systems. We take the guesswork out of this picture by using techniques of effective field theory to derive the required boundary conditions at the origin in terms of the effective point-particle action describing the physics of the source. In this picture ambiguities in boundary conditions boil down to the allowed choices for the source action, but casting them in terms of an action provides a physical criterion for their determination. The resulting extension is self-adjoint if the source action is real (and involves no new degrees of freedom), and not otherwise (as can also happen for reasonable systems). We show how this effective-field picture provides a simple framework for understanding well-known renormalization effects that arise in these systems, including how renormalization-group techniques can resum non-perturbative interactions that often arise, particularly for non-relativistic applications. In particular we argue why the low-energy effective theory tends to produce a universal RG flow of this type and describe how this can lead to the phenomenon of reaction catalysis, in which physical quantities (like scattering cross sections) can sometimes be surprisingly large compared to the underlying scales of the source in question. We comment in passing on the possible relevance of these observations to the phenomenon of the catalysis of baryon-number violation by scattering from magnetic monopoles.

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“…Within EFT, one has to ensure that the inflaton's and all other field's kinetic terms are small, and here we simply assume so in some patch of the Universe just to be within the EFT regime [13], though this still relies on an anthropic arguments.…”

Section: Introductionmentioning

confidence: 99%

Dynamical breaking of shift symmetry in supergravity-based inflation

2014

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Shift-symmetry is essential to protect the flatness of the potential, even beyond the superPlanckian vacuum expectation value (VEV) for an inflaton field. The breaking of the shift-symmetry can yield potentials suitable for super-Planckian excursion of the inflaton. The aim of this paper is to illustrate that it is indeed possible to break the shift-symmetry dynamically within 4 dimensional supergravity prior to a long phase of inflation. Thanks to the shift-symmetry, the leading contribution to the inflaton potential is free from the dangerous exponential factor even after its breaking, which is the main obstacle to realizing the super-Planckian inflation in supergravity. But, in our simple model, the resulting inflaton potential is a cosine type potential rather than the power-law one and it is difficult to realize a super-Planckian breaking scale unfortunately.

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A problem with δ-functions: stress-energy constraints on bulk-brane matching (with comments on arXiv:1508.01124)

Cited by 12 publications

References 35 publications

A Bayesian Fermi-GBM short GRB spectral catalogue

A Bayesian Fermi-GBM short GRB spectral catalogue

Point-particle effective field theory I: classical renormalization and the inverse-square potential

Dynamical breaking of shift symmetry in supergravity-based inflation

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