Charges from Dressed Matter: Construction

Bagán, E.; Lavelle, Martin; McMullan, David

doi:10.1006/aphy.2000.6048

Cited by 93 publications

(153 citation statements)

References 52 publications

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“…The boson clouds of the Faddeev-Kulish states have been shown, in [9] for QED and [10] for gravity, to precisely cancel the vacuum transitions induced by the scattering operator, which explains why Faddeev-Kulish states yield well-defined S-matrix elements. Also, it has been shown in [11] that a gauge-invariant formulation of the charged particles in QED analogous to [12,13] JHEP02(2018)171 yields coherent states that are essentially equivalent to Faddeev-Kulish states, which turn out to be the charge eigenstates of the large gauge symmetry.…”

Section: Introductionmentioning

confidence: 99%

BMS supertranslation symmetry implies Faddeev-Kulish amplitudes

Choi

Akhoury

2018

J. High Energ. Phys.

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We show explicitly that, among the scattering amplitudes constructed from eigenstates of the BMS supertranslation charge, the ones that conserve this charge, are equal to those constructed from Faddeev-Kulish states. Thus, Faddeev-Kulish states naturally arise as a consequence of the asymptotic symmetries of perturbative gravity and all charge conserving amplitudes are infrared finite. In the process we show an important feature of the Faddeev-Kulish clouds dressing the external hard particles: these clouds can be moved from the incoming states to the outgoing ones, and vice-versa, without changing the infrared finiteness properties of S matrix elements. We also apply our discussion to the problem of the decoherence of momentum configurations of hard particles due to soft boson effects.

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Section: Introductionmentioning

confidence: 99%

BMS supertranslation symmetry implies Faddeev-Kulish amplitudes

Choi

Akhoury

2018

J. High Energ. Phys.

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“…This has been taken [1] to mean that one cannot describe charged particles in gauge theories. In a series of papers [2][3][4][5][6] we have shown that this conclusion is overly hasty: it is in fact possible to construct gauge invariant operators whose S-matrix elements are free of infra-red divergences. These fields have been shown to asymptotically recover a particle description of charges and to have a rich structure which is physically reflected in the cancellation of both soft and phase divergences.…”

Section: Introductionmentioning

confidence: 99%

Structure of screening in QED

et al. 2002

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The possibility of constructing charged particles in gauge theories has long been the subject of debate. In the context of QED we have shown how to construct operators which have a particle description. In this paper we further support this programme by showing how the screening interactions arise between these charges. Unexpectedly we see that there are two different gauge invariant contributions with opposite signs. Their difference gives the expected result.

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“…We further presented an equation with which we could generate these dressed fields corresponding to physical charges. For the purposes of this paper, we may summarise the results of I in one equation: we claim 4 that the locally gauge invariant field…”

Section: Introductionmentioning

confidence: 99%

Charges from Dressed Matter: Physics and Renormalisation

2000

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Gauge theories are characterised by long range interactions. Neglecting these interactions at large times, and identifying the Lagrangian matter fields with the asymptotic physical fields, leads to the infra-red problem. In this paper we study the perturbative applications of a construction of physical charges in QED, where the matter fields are combined with the associated electromagnetic clouds. This has been formally shown, in a companion paper, to include these asymptotic interactions. It is explicitly demonstrated that the on-shell Green's functions and S-matrix elements describing these charged fields have, to all orders in the coupling, the pole structure associated with particle propagation and scattering. We show in detail that the renormalisation procedure may be carried out straightforwardly. It is shown that standard infra-red finite predictions of QED are not altered and it is speculated that the good infra-red properties of our construction may open the way to the calculation of previously uncalculable properties. Finally extensions of this approach to QCD are briefly discussed.1 email: bagan@quark.phy.bnl.gov; permanent address: IFAE, Univ.

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Charges from Dressed Matter: Construction

Cited by 93 publications

References 52 publications

BMS supertranslation symmetry implies Faddeev-Kulish amplitudes

BMS supertranslation symmetry implies Faddeev-Kulish amplitudes

Structure of screening in QED

Charges from Dressed Matter: Physics and Renormalisation

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