9.S: Summary

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References

• M. Kardar, Statistical Physics of Fields (Cambridge, 2007) A superb modern text, with many insightful presentations of key concepts.
• M. Plischke and B. Bergersen, Equilibrium Statistical Physics ($3^{rd}$ edition, World Scientific, 2006) An excellent graduate level text. Less insightful than Kardar but still a good modern treatment of the subject. Good discussion of mean field theory.
• G. Parisi, Statistical Field Theory (Addison-Wesley, 1988) An advanced text focusing on field theoretic approaches, covering mean field and Landau-Ginzburg theories before moving on to renormalization group and beyond.
• J. P. Sethna, Entropy, Order Parameters, and Complexity (Oxford, 2006) An excellent introductory text with a very modern set of topics and exercises.

Endnotes

1. A more mathematically rigorous name would be the renormalization monoid.↩
2. Our choice of what terms to put in the exponent in the second line below is dictated by global ${\mathbb Z}_2$ symmetry. Once we sum over $\sigma_0$, the result should be invariant under simultaneous reversal of $\sigma_{1-4}$.↩