Titlebook: Geometry, Particles, and Fields; Bjørn Felsager Textbook 1998 Springer Science+Business Media New York 1998 Particle Physics.algebra.diffe

Salivary-Gland

Integral Calculus on Manifoldsuld like to give an . feeling of the integral concept we are going to construct. In the familiar theory of Riemann integrals we consider a function of, say, two variables .,y) defined on a “nice” subset . ofℝ..Then we divide this region.into cells △.with area ∈.and in each cell, △.we choose a point.

显而易见

Dirac Monopolesxperiments, where electric fields are always generated by electrically charged particles, whereas magnetic fields are generated from electric currents. Nevertheless, there is a priori no reason to exclude magnetic charges, and as shown by Dirac (1931) their existence would have interesting theoretic

诱导

半身雕像

Symmetries and Conservation Lawsntinuity(see (7.88)).The vector field . is interpreted as a “current,” and if Ω is a domain in a space slice, then the flux of . through Ω,given by the integral.is interpreted as a “charge.” (The minus sign is conventional. Compare with (8.53).)