Abstract
A relativistic framework for the description of bound states consisting of a large number of quantum constituents is presented, and applied to black-hole interiors. At the parton level, the constituent distribution, number and energy density inside black holes are calculated, and gauge corrections are discussed. A simple scaling relation between the black-hole mass and constituent number is established.
Highlights
Systems that can be characterised by a dimensionless parameter N 1 are of considerable experimental and theoretical significance
Colour neutrality of baryons implies that N can be identified with the number of valence quarks confined inside the baryons
In quantum chromodynamics this expansion parameter has a diagrammatic interpretation as planar dominance, which has been exploited, for instance, in the 1/N -expansion of heavy baryons [1,2]
Summary
Systems that can be characterised by a dimensionless parameter N 1 are of considerable experimental and theoretical significance. In the approach presented here, the mean field is provided by a non-trivial vacuum structure causing in-medium modifications of the constituent dynamics that can be related to collective binding effects At this level, the bound-state description is similar to the one developed by Shifman, Vainshtein and Zakharov for using quantum chromodynamics as a predictive theory of hadrons. Besides the celebrated quark–hadron duality, certain vacuum condensates (Lorentz- and gauge-invariant compositions of fields in the normal-ordering prescription) of quarks and gluons [3,4,5] are central concepts in their approach These condensates parametrise the non-trivial vacuum structure of quantum chromodynamics and allow to represent hadron properties at sufficiently low energies to account for confinement. In order to highlight the practical value of external field methods in this context, we calculate a specific diagram, leaving a systematic study of gauge corrections for future work
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
