Abstract
We calculate the two-loop contributions to the $\ensuremath{\beta}$ functions for the Yukawa coupling constant $G$ and the four-scalar coupling constant $\ensuremath{\lambda}$ in the linear $\ensuremath{\sigma}$ model using a mass-independent renormalization scheme. The results are used to obtain a correction to the infrared fixed point value for $\frac{\ensuremath{\lambda}}{{G}^{2}}$. We argue that this is the leading correction to the fixed point value for this ratio in the regime of fine-tuning, and use our results to complete a calculation of the ratio of the $\ensuremath{\sigma}$ mass to the fermion mass to order ${G}^{2}$. Our calculation also applies to the Nambu---Jona-Lasinio model.
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.
