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Alternative tangent and cotangent structures and their physical applications
José F. Cariñena, Jesús Clemente-Gallardo, Giuseppe Marmo
The conditions under which a given manifold may be given a tangent bundle or a cotangent bundle structure are analyzed. This is an important property arising in different conte…
Geometric flavours of Quantum Field theory on a Cauchy hypersurface. Part II: Methods of quantization and evolution
José Luis Alonso, Carlos Bouthelier-Madre, Jesús Clemente-Gallardo +1
In this series of papers we aim to provide a mathematically comprehensive framework to the Hamiltonian pictures of quantum field theory in curved spacetimes. Our final goal is to s…
Geometric flavours of Quantum Field theory on a Cauchy hypersurface. Part I: Gaussian analysis and other Mathematical aspects
José Luis Alonso, Carlos Bouthelier-Madre, Jesús Clemente-Gallardo +1
In this series of papers we aim to provide a mathematically comprehensive framework to the Hamiltonian pictures of quantum field theory in curved spacetimes. Our final goal is to s…