Abstract
We show explicitly that the sum over punctures for the three-times derivative for the Penner free energy , given by D. A. Johnston [], is not correct. As a consequence, Eq. (21), the differentiated version for the renormalization group (RG) equation, is wrong. Also, his conclusion that the differentiated version of the RG equation for the three-times derivative of the free energy can be obtained from the higher genus RG equation cannot be true. Finally, the differentiated version of the RG equation is extended to any derivative of the free energy .
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.