Some details for Foundations of cosmology
Contents General relativity: field equations Quantum theory: some equations
Some details for roundations of cosmology ## General relativity: field equationsWith thanks to Wikipedia. G where g The curvature scalar The Ricci tensor, R T ## Quantum theory: some equationsWith thanks to Wikipedia. ## Schrödinger:## Klein-Gordon## Dirac: Lorentz Invariant form## Pauli## Quantum electrodynamicsThe Lagrangian for a spin-1/2 field interacting with the electromagnetic field is given by the real part of where are Dirac matrices; a bispinor field of spin-1/2 particles (e.g. electron–positron field); , called "psi-bar", is sometimes referred to as the Dirac adjoint; is the gauge covariant derivative;
is the covariant four-potential of the electromagnetic field generated by the electron itself; is the external field imposed by external source; is the electromagnetic field tensor. ## Quantum chromodynamicsThe Lagrangian density is:
D is the QCD gauge invariant derivative, n = 1 … 6, counts the quark types and Gαμν is the gluon field strength tensor. |