Abstract
A continuum limit of the lattice gauge theory restricted to the hadron sector is proposed. Details of the appropriateness of formulating such a limit within a specific scheme of approximation are discussed for the quarkless hadron sector. The general method is then applied to the gauge fields, with the restriction that motions occur only along one spatial direction. This leads to a continuum eigenvalue equation for the spectrum of internal excitations associated with fluctuations in the length of the electric flux line. In addition, a nontrivial renormalization condition is encountered if one insists on a relativistic form for the spectrum. A speculative method for dealing with this condition is proposed---the method eliminates the lattice spacing and removes the coupling constant as a free parameter, as in dimensional transmutation. Alternative possibilities for restoring covariance in the hadronic sector of the theory are discussed.
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.
