Fall to the centre in atom traps and point-particle EFT for absorptive systems

Autor: R. Plestid, C. P. Burgess, D. H. J. O’Dell
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2018, Iss 8, Pp 1-39 (2018)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP08(2018)059
Popis: Abstract Polarizable atoms interacting with a charged wire do so through an inverse-square potential, V = −g/r 2. This system is known to realize scale invariance in a nontrivial way and to be subject to ambiguities associated with the choice of boundary condition at the origin, often termed the problem of ‘fall to the center’. Point-particle effective field theory (PPEFT) provides a systematic framework for determining the boundary condition in terms of the properties of the source residing at the origin. We apply this formalism to the charged-wire/polarizable-atom problem, finding a result that is not a self-adjoint extension because of absorption of atoms by the wire. We explore the RG flow of the complex coupling constant for the dominant low-energy effective interactions, finding flows whose character is qualitatively different when g is above or below a critical value, g c . Unlike the self-adjoint case, (complex) fixed points exist when g > g c , which we show correspond to perfect absorber (or perfect emitter) boundary conditions. We describe experimental consequences for wire-atom interactions and the possibility of observing the anomalous breaking of scale invariance.
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