Mathematical Principles of Theoretical Physics

(Rick Simeone) #1

Index


Symbols

D^0 -decay, 307
De, gradient operator, 202
Dg, gradient operator, 202
Ds, gradient operator, 202
Dw, gradient operator, 202
G-parity, 260
HkSobolev space, 125
Lpspaces, 123
SU(N), 269
SU(N)gauge transformation, 118
SU(N)representation, 73
SU(N)representation invariance, 156
SU(N)tensor, 161
Sn,n-sphere, 108
TM=M⊗pTpM, tangent bundle, 113
U( 1 )gauge invariance, 70
W±bosons, 211
Wk,pSobolev space, 124
Zboson, 211
∆++-decay, 306
Gab(A),SU(N)tensor, 161
Γrkl, Levi-Civita connection, 147
M⊗pEN, vector bundle, 113
β-decay, 261 , 305
δ-factor, 436 , 438
λk, Gell-Mann matrices, 163 , 204
M⊗pCn, complex bundle, 11
ν-mediator, 295
ρw, radius ofw∗-weakton, 219
σk, Pauli matrices, 163 , 204
{M,gμ ν}, Riemannian manifold, 11
e, the negative electric charge, 57 , 180


fbca, structure constants for Gell-Mann
Matrices, 163
gs, strong charge, 180
gw, weak charge, 180
mH, mass ofφw, 205
mπ, mass ofφs, 205
ml, 201
mq, 201
ms, 202
mw, 202
w∗-color algebra, 320
4-D gradient operator, 51
m⊙, solar mass, 412

A

accretion, 454
active galaxy, 443
AGN, 451
angular momentum conservation, 265
angular momentum rule, 342 , 344
arc-length, 111
Archytas, 463
astrophysical fluid dynamics, 396 , 408
asymptotic flatness, 479
asymptotic freedom, 227
atomic spectrum, 389

B

baryon, 256
spectral equations, 370
baryon decay, 263
baryon number, 259

497

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