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Critical Phenomena

Jan Martin Pawlowski, winter term 2010/2011

Script

	1 Introduction
	1.1 Ferromagnetic transition
	1.2 Ising model
	1.3 Mean-Field approximation & critical exponents
	1.4 Correlation functions
	2 Landau theory
	2.1 Ginzburg-Landau hamiltonian
	2.2 Phase transitions
	2.3 Correlation functions
	2.4 Fluctuations & Ginzburg criterion
	3 Renormalisation group
	3.1 Block-spin transformations & coarse-graining
	3.2 Critical exponents & scaling
	3.3 Approximation by cumulants
	4 Functional renormalisation
	4.1 Flow equation
	4.2 Perturbation theory
	4.3 Effective Potential approximation
	4.4 RG-equations, anomalous dimensions & critical phenomena
	5 O(N)-models & critical phenomena
	5.1 O(N)-symmetric scalar theories
	5.2 Functional RG for the O(N)-model
	5.3 1/N-Expansion