1998/09/30 by Haru-Tada Sato · 7 citations
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Advanced Thermodynamics and Statistical Mechanics #Amplitude #Feynman diagram #Formalism (music) #Limit (mathematics) #Master equation #Property (philosophy) #Quantum Mechanics and Non-Hermitian Physics #Thermodynamic limit #Zero (linguistics) #hep-ph #hep-th
paper · pdf · doi:10.1063/1.533100
published in Journal of Mathematical Physics 40(12), 6407-6429 (American Institute of Physics) · 1+30 pages, improved presentation
arxiv created 1999/02/03 · openalex publication_date 1999/12/01 · arxiv updated 2015/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The issue discussed is a thermodynamic version of the Bern–Kosower master amplitude formula, which contains all necessary one-loop Feynman diagrams. It is demonstrated how the master amplitude at finite values of temperature and chemical potential can be formulated within the framework of the world-line formalism. In particular we present an elegant method of how to introduce a chemical potential for a loop in the master formula. Various useful integral formulas for the master amplitude are then obtained. The nonanalytic property of the master formula is also derived in the zero temperature limit with the value of chemical potential kept finite.