# Rigorous mathematical formalism of particle physics

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Can anyone provide me with a rigorous mathematical definition of the fundamental particles (all fundamental bosons and fermions), reflecting the analogy of action of groups with interaction of particles, isospin and mediating forces? An answer would be preferable, but a link of an appropriate source would also suffice.

This post imported from StackExchange Physics at 2014-04-19 18:45 (UCT), posted by SE-user smiley06
asked Apr 19, 2014
Would this help you better define what you're looking for? en.wikipedia.org/wiki/Wightman_axioms

This post imported from StackExchange Physics at 2014-04-19 18:45 (UCT), posted by SE-user Danu
Related: physics.stackexchange.com/q/27665/2451 and links therein.

This post imported from StackExchange Physics at 2014-04-19 18:45 (UCT), posted by SE-user Qmechanic
@Danu I understand the 6/7 Wightman axioms but fail to capture how does the concepts of fundamnetal particles, quarks-leptons, or bosons mediating forces etc. come from those.

This post imported from StackExchange Physics at 2014-04-19 18:45 (UCT), posted by SE-user smiley06

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