Abstract
It has been argued that the bosonic large-$N$ master field of the IIB matrix model can give rise to an emergent classical spacetime. In a recent paper, we have obtained solutions of a simplified bosonic master-field equation from a related matrix model. In this simplified equation, the effects of dynamic fermions were removed. We now consider the full bosonic master-field equation from a related supersymmetric matrix model for dimensionality $D=3$ and matrix size $N=3$. In this last equation, the effects of dynamic fermions are included. With an explicit realization of the random constants entering this algebraic equation, we establish the existence of nontrivial solutions. The small matrix size, however, does not allow us to make a definitive statement as to the appearance of a diagonal/band-diagonal structure in the obtained matrices.
Highlights
In a previous work [1], we studied a relativistic reduction of the Dirac equation for quark-composed systems
Many trials have been performed to determine the specific form of the potential functions V(v2)(r) and V(s2)(r) in order to reproduce the charmonium spectrum with a very small number of free parameters
In order to reproduce with reasonable accuracy the experimental data of the charmonium spectrum, we have verified that it is strictly necessary to introduce a scalar interaction
Summary
In a previous work [1], we studied a relativistic reduction of the Dirac equation for quark-composed systems. In the present work, by using the same reduced relativistic equation we shall try to reproduce the main structure of the charmonium spectrum with a very small number of parameters, possibly with evident physical meaning. To this aim, we shall determine two parameters of the model in order to reduce the total number of free parameters. The authors analyzed the dependence of the results on these last parameters by means of different calculations in which they are considered as fixed or as free parameters Another relativistic model was based on the use of a momentum space integral equation with positive energy Dirac spinors.
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.
