Path-integral approach to scale anomaly at finite temperature

Chris L. Lin, Carlos R. Ordóñez
2015 Physical Review D  
We derive the relativistic thermodynamic scale equation using imaginary-time path integrals, with complex scalar field theory taken as a concrete example. We use Fujikawa's method to derive the scaling anomaly for this system using a matrix regulator. We make a general scaling argument to show how for anomalous systems, the β function of the vacuum theory can be derived from measurement of macroscopic thermodynamic parameters.
doi:10.1103/physrevd.92.085050 fatcat:6cmbunq3snfkllpng6yf6esehu