User talk:Abcdesheep

Mac OS X Feature Aquamacs Emacs + macTeX —Preceding unsigned comment added by 131.215.220.132 (talk) 03:04, 16 December 2007 (UTC)

Standard Model
Lagrangian $${\mathcal L}={\mathcal L}_{quark}+{\mathcal L}_{lepton}+{\mathcal L}_{Higgs}+{\mathcal L}_{gauge}+{\mathcal L}_{int}$$

$${\mathcal L}_{quark}=\bar QD\!\!\!\!/ Q$$

$${\mathcal L}_{lepton}=\bar L D\!\!\!\!/ L$$

$${\mathcal L}_{Higgs}=(D_\mu H)^\dagger (D^\mu H)-\frac{\lambda}{4}\left(H^\dagger H-\frac{v^2}{2}\right)^2$$

$${\mathcal L}_{gauge}=-\frac{1}{2}Tr W_{\mu\nu}W^{\mu\nu}-\frac{1}{4}B_{\mu\nu}B^{\mu\nu}$$

where covariant derivative $$D_\mu=\partial_\mu+ig_2T^AW^A_\mu+ig_1YB_\mu$$

$${\mathcal L}_{int}=g_u^{ij} \bar u_R^i(H^T\epsilon Q^j_L)-g_d^{ij}\bar d_R^i H^\dagger Q^j_L -g_e^{ij}\bar e_R^i H^\dagger L_L^j+h.c.$$