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Titlebook: Natural and Gauge Natural Formalism for Classical Field Theorie; A Geometric Perspect Lorenzo Fatibene,Mauro Francaviglia Book 2003 Springe

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The Lagrangian Formalismortant algebraic Lemmas are presented in an abstract and general form and they are then applied to Variational Calculus to obtain the relevant quantities for a general Field Theory. The approach based on the Poincaré-Cartan form is also briefly discussed. Then symmetries and conserved quantities are
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Natural Theoriess on a surface, General Relativity in its metric formulation and metric-affine formulation..The reader should master Natural Bundles together with their lift properties and Lie derivatives (see Chapter 4) as well as the Lagrangian formalism introduced in Chapter 6.
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Spin Structures and Spin Frameseeded below. Then we shall introduce . in their standard formulation and their relations with the Dirac operator. Thence the . will be introduced and used to provide a formulation of gravity in interaction with spinor fields.
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Spinor Theoriess neutrino theory as well as the Wess-Zumino model which deals with Majorana anticommuting spinors..The reader should be familiar with the material of Chapter 7 (gauge natural theories) and Chapter 9 (spin frames).
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Lorenzo Fatibene,Mauro Francaviglia self-concept clarity across the lifespan..Self-concept clarity and romantic relationships..Who am I and why does it matter? Linking personal identity and self-concept clarity..Consequences of self-concept clar978-3-319-89082-1978-3-319-71547-6
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