Rigorous mathematical formalism of particle physics

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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 in Theoretical Physics by smiley06 (40 points) [ no revision ]

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

commented Apr 19, 2014 by UnknownToSE (505 points) [ no revision ]

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

commented Apr 19, 2014 by Qmechanic (3,120 points) [ no revision ]

@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

commented Apr 19, 2014 by smiley06 (40 points) [ no revision ]

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