Emergence Of Temperature In Examples And Related Nuisances In Field Theory
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Emergence of Temperature in Examples and Related Nuisances in Field Theory
Field theory, relying on the concept of continuous space and time while confronted with the quantum physical nature of observable quantities, still has some fundamental challenges to face. One such challenge is to understand the emergence of complexity in the behavior of interacting elementary fields, including among other things nontrivial phase structures of elementary matter at high energy density or an atypical emergence of statistical properties, e.g., when an apparent temperature is proportional to a constant acceleration in a homogeneous gravitational field. Most modern textbooks on thermal field theory are mainly concerned with how the field theory formalism should be used if a finite temperature is given. In contrast, this short primer explores how the phenomenon of temperature emerges physically for elementary fields - inquiring about the underlying kinetic field theory and the way energy fluctuations and other noise should be handled - and it investigates whether and how this harmonizes with traditional field theory concepts like spectral evolution, the Keldysh formalism, and phase transitions.
Gintropy
Author: Biró, Tamás Sándor
language: un
Publisher: HUN-REN Wigner Research Centre for Physics
Release Date: 2024-09-30
This book is an experiment in the genre of textbooks: mathematical formulas related to entropy, distributions, and inequality measures like the Gini index are embedded into a fictious story about seven scientists, meeting, and acting according to their respective characters in an imaginary project. The embedding of formulas inside the story is, however, lifted by putting all formulas into the last chapter, so that the story can be read through. This is done for the sake of those who would not or could not follow university level math. Still, as a novelty, the pdf file contains hypertext jumps to and back from the corresponding formulas. In the printed version, unfortunately, only the page number could have been indicated where to continue (or not) the reading. The story is about (economical, wealth and social) inequality, and about the utopistic and distopic dream of treating equally persons with varying social and economical status. The mathematical models and notions behind are introductory to the area of statistics, statistical pyhsics, econophysics and quantitaive finance. This book, as a novel mixture of a fiction and a theoretical textbook, may prove to be a chimera, but perhaps also a new dynamit for the intellectual considerations about how to measure, model and manipulate inequality in our societies. As said, an experiment.
Introduction to Effective Field Theory
Author: C. P. Burgess
language: en
Publisher: Cambridge University Press
Release Date: 2020-12-10
This advanced, accessible textbook on effective field theories uses worked examples to bring this important topic to a wider audience.