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Non-perturbative Aspects of Gauge Theories

Jan Martin Pawlowski, summer term 2008

Script

	Introduction
	I The functional renormalisation group
	I-1 Derivation
	I-2 Truncation schemes, optimisation & numerics
	I-3 Fixed points in the functional RG
	II QCD
	II-1 Introduction
	1.1 Euclidean path integral for gauge theories
	1.2 Functional RG equations for Yang-Mills theories
	II-2 Confinement & chiral symmetry breaking
	2.1 RG-flows for infrared QCD
	2.2 Confinement-Deconfinement phase transition
	2.3 Chiral phase transition
	III Gravity
	III-1 Introduction
	III-2 RG approach to quantum gravity