scholarly journals Jet Bundles on Gorenstein Curves and Applications

2020 ◽  
Author(s):  
Letterio Gatto ◽  
Andrea Ricolfi
Keyword(s):  
Jet Bundles

Classical Gauge Field Theory

2020 ◽  
pp. 71-92
Author(s):  
Daniel Canarutto
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Gauge Field Theory ◽  
Jet Bundle ◽  
Jet Bundles ◽  
Affine Bundle ◽  
Lagrangian Field Theory ◽  
Original Approach

After a sketch of Lagrangian field theory on jet bundles, the notion of a gauge field is introduced as a section of an affine bundle which is naturally constructed without any involvement with structure groups. An original approach to gauge field theory in terms of covariant differentials (alternative to the jet bundle approach) is then developed, and the adaptations needed in order to deal with general theories are laid out. A careful exposition of the replacement principle allows comparisons with approaches commonly found in the literature.

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