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Functional Renormalisation Group flows in gauge theories
Jan Martin Pawlowski
Content of lecture series
An introduction to
functional renormalisation group (FRG) flows for gauge theories is
given. The method is then applied to the low energy sector of QCD. In
particular the confinement-deconfinemt phase transition and chiral
symmetry breaking is discussed.
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Topics in key words:
| Litim, Pawlowski | On gauge invariant Wilsonian flows | Proceedings 'The ERG', Word Scientific '99 | |
| Pawlowski | On Wilsonian flows in gauge theories | habilitation thesis, Erlangen '02 | |
| Pawlowski | Aspects of the FRG | Annals Phys.322:2831-2915,2007 | |
| Gies | Introduction to the FRG and applications to gauge theories | Lecture notes | |
| Reuter, Saueressig | FRG Equations, Asymptotic Safety, and Quantum Einstein Gravity | Lecture notes | |
| Niedermaier, Reuter | The Asymptotic Safety Scenario in Quantum Gravity | Living review |
FRG-reviews on various topics are listed as refs. [15]-[27] in 'Aspects of the FRG' .
| Alkofer, von Smekal | The Infrared Behavior of QCD Green's Functions | Phys.Rept.353:281,2001 | |
| Fischer | Infrared Properties of QCD from Dyson-Schwinger equations Authors: | J.Phys.G32:R253-R291,2006 |
| Amit | Field Theory, the Renormalization Group, and Critical Phenomena | World Scientific | |
| Binney, Dowrick, Fisher, Newman | The Theory of Critical Phenomena, an Introduction to the Renormalization Group | Clarendon Press, Oxford | |
| Cardy | Scaling and Renormalization in Statistical Physics | Cambridge University Press | |
| Collins | Renormalization | Springer | |
| Parisi | Statistical Field Theory | Addison-Wesley | |
| Zinn-Justin | Quantum Field Theory and Critical Phenomena | Claredon Press, Oxford |
| Haag | Local Quantum Physics | Springer, 1996 | |
| Itzykson, Zuber | Quantum Field Theory | McGraw-Hill | |
| Peskin, Schroeder | An Introduction to Quantum Field Theory | Addison Wesley | |
| Siegel | Fields | hep-th/9912205 | |
| Weinberg | The Quantum Theory of Fields, Vol. 1-2 | Cambridge University Press |
| Kugo | Eichtheorie | Springer, 1997 | |
| Miransky | Dynamical Symmetry Breaking in Quantum Field Theories | World Scientific, 1993 | |
| Muta | Foundations of Quantum Chromodynamics | World Scientific, 1987 | |
| Pokorski | Gauge Field Theories | Cambridge, 1987 | |
| Wu-Ki Tung | Group Theory in Physics | World Scientific, 1985 | |
| Zinn-Justin | Quantum Field Theory and Critical Phenomena | Oxford, 1993 |
Functional RG in gauge theories, Jan Martin Pawlowski
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