Fermionic fields in the functional approach to classical field theory

Details Fermionic fields in the functional approach to classical field theory Fermionic fields in the functional approach to classical field theory

2011-01-26

arxiv.org/abs/1101.5126v2

Reviews in Mathematical Physics, Volume: 23, Issue: 9(2011) pp. 1009-1033

Physics

Mathematical Physics

25 pages, typos corrected, last section slightly reformulated

Scientific paper

10.1142/S0129055X11004503

In this paper, we present a formulation of the classical theory of Fermionic (anticommuting) fields, which fits into the general framework proposed by K.Fredenhagen, M.Duetsch and R.Brunetti. It was inspired by the recent developments in perturbative algebraic quantum field theory and allows for a deeper structural understanding also on the classical level. We propose a modification of this formalism that allows to treat also Fermionic fields. In contrast to other formulations of classical theory of anticommuting variables, we don't introduce additional Grassman degrees of freedom. Instead the anticommutativity is introduced in a natural way on the level of functionals. Moreover our construction incorporates the functional-analytic and topological aspects, which is usually neglected in the treatments of anticommuting fields. We also give an example of an interacting model where our framework can be applied.

Affiliated with

Also associated with

No associations

Rating

Fermionic fields in the functional approach to classical field theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fermionic fields in the functional approach to classical field theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fermionic fields in the functional approach to classical field theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-419736