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models:gauge_theory [2018/10/11 13:24] jakobadmin [Abstract] |
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* A great introduction to the geometric perspective on gauge theories can be found in “Geometrical methods of mathematical physics” by Bernard F. Schutz at page 219 | * A great introduction to the geometric perspective on gauge theories can be found in “Geometrical methods of mathematical physics” by Bernard F. Schutz at page 219 | ||
+ | * See also [[https://www.claymath.org/sites/default/files/yangmills.pdf|Quantum Yang-Mills Theory by Jaffe and Witten]] | ||
* Another great introduction to the **fibre bundle formulation** of gauge theories with many nice pictures is [[https://arxiv.org/pdf/1607.03089.pdf|Gauge Theories and Fiber Bundles: Definitions, Pictures, and Results]] by Adam Marsh | * Another great introduction to the **fibre bundle formulation** of gauge theories with many nice pictures is [[https://arxiv.org/pdf/1607.03089.pdf|Gauge Theories and Fiber Bundles: Definitions, Pictures, and Results]] by Adam Marsh | ||
* A pedagogical introduction to the **loop formulation** of gauge theory can be found in the book Some Elementary Gauge Theory Concepts by Sheung Tsun Tsou, Hong-Mo Chan. | * A pedagogical introduction to the **loop formulation** of gauge theory can be found in the book Some Elementary Gauge Theory Concepts by Sheung Tsun Tsou, Hong-Mo Chan. | ||
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* Baez, J. and Muniain, J. P.: Gauge Fields, Knots and Gravity. World Scientific Publishing Co Inc, 1994. and especially, the [[http://michaelnielsen.org/blog/introduction-to-yang-mills-theories/|nice summary by Michael Nielsen]]. | * Baez, J. and Muniain, J. P.: Gauge Fields, Knots and Gravity. World Scientific Publishing Co Inc, 1994. and especially, the [[http://michaelnielsen.org/blog/introduction-to-yang-mills-theories/|nice summary by Michael Nielsen]]. | ||
* http://www.damtp.cam.ac.uk/user/dbs26/AQFT/YM.pdf | * http://www.damtp.cam.ac.uk/user/dbs26/AQFT/YM.pdf | ||
+ | * [[https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.52.175|The geometrical setting of gauge theories of the Yang-Mills]] type by M. Daniel and C. M. Viallet | ||