The Condensed Matter Limit of Relativistic QFT

Abstract

I study how to apply relativistic quantum field theory to condensed matter systems. The motivation for this is examined and then two separate elements are considered. First we identify the precise relationship between relativistic and non-relativistic fields. Second we consider the need for a chemical potential and how one includes this in static and dynamical calculations.

arXiv comment13 pages, LaTeX (no figures), available through anonymous ftp as LaTeX from ftp://euclid.tp.ph.ic.ac.uk/papers/95-6_03.tex and on WWW as LaTeX or postscript at http://euclid.tp.ph.ic.ac.uk/Papers/index.html

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• Inclusion of Chemical Potential for Scalar Fields
• The Renormalized Thermal Mass with Non-Zero Charge Density
• The Densities, Correlations and Length Distributions of Vortices Produced at a Gaussian Quench
• Anomaly induced transport coefficients, from weak to strong coupling