期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 8, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP08(2018)059
关键词
Effective Field Theories; Renormalization Group; Nonperturbative Effects
资金
- Natural Sciences and Engineering Research Council (NSERC) of Canada
- Government of Canada through NSERC
- Province of Ontario through MRI
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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