1993/12/07 by Juan Pérez‐Mercader, J. Perez-Mercader, Perez-Mercader, J.
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Condensed Matter (cond-mat) #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Applications #Statistical Mechanics and Entropy #cond-mat #hep-ph #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9312052
uses ReVTeX 2.1, 13 pages + 5 figures (available by request to the author), LAEFF-93/017
arxiv created 1993/12/07 · openalex publication_date 1993/12/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We define an entropy for a quantum field theory by combining quantum fluctuations, scaling and the maximum entropy concept. This entropy has different behavior in asymptotically free and non--asymptotically free theories. We find that the transition between the two regimes (from the asymptotically free to the non--asymptotically free) takes place via a continuous phase transition. For asymptotically free theories there exist regimes where the ``temperatures" are negative. In asymptotically free theories there exist maser--like states mostly in the infrared; furthermore, as one goes into the ultraviolet and more matter states contribute to quantum processes, the quantum field system can shed entropy and cause the formation of thermodynamically stable \it entropy--ordered states. It is shown how the known heavier quarks can be thus described.