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The Renormalization Group, Entropy, Thermodynamic Phase Transitions and Order in Quantum Field Theory

J. Perez-Mercader
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Abstract

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.

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J. Perez-Mercader. 1993-12-07. The Renormalization Group, Entropy, Thermodynamic Phase Transitions and Order in Quantum Field Theory. https://arxiv.org/abs/hep-th/9312052

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