Categorical Methods in Quantum Field Theory

Frédéric Paugam ()
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Frédéric Paugam: Université Pierre et Marie Curie, Institut de Mathématiques de Jussieu

A chapter in Quantum Mathematical Physics, 2016, pp 119-135 from Springer

Abstract: Abstract We give an introduction to the categorical methods Categorical methods used in the book “Towards the Mathematics of Quantum Field Theory” (Paugam F, Towards the mathematics of quantum field theory. Springer, Cham, 2014), to which we refer for the details of our work and a list of references. The main interest of our approach is that it gives a clear mathematical status to the various “spaces of fields” that appear in the treatment of general classical and quantum gauge theories.

Keywords: Covariant field theory; Functor of points; Local and non-local functionals; D-geometry; Differential spaces; Gauge theories (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-26902-3_7

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DOI: 10.1007/978-3-319-26902-3_7

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