Mathematical Principles of Theoretical Physics

500 INDEX

Gell-Mann matrices, 163
Gell-Mann-Zweig
quark model, 284
general invariants, 64
general tensor, 63
generator representation
ofSU(N), 72
geometric interaction mechanism, 182

4.1.3 Geometry of unified fields

Ginzburg-Landau free energy, 199
globular universe, 462
gluon,312,313
gluon radiation, 314
color transformation, 319
gluons, 211 , 216
gradient operator, 129 , 405
gravitational field equations, 68 , 406 , 425
based on PID, 211
gravitational force, 180 , 212
gravitational force formula, 212
gravitational interaction formula, 477 ,
483
gravitational mass, 63
gravitational potential, 45 , 407
graviton,211,212
gravity, 181
asymptotic repulsion, 478
guiding principle
of theoretical physics, 34

H

H ̈older space, 125
hadron, 254 , 256 , 283 , 326
gluon cloud, 326
Hamiltonian dynamics, 80 , 97
Hamiltonian system
energy-conservation of, 98
for Bose-Einstein condensation, 104
for Dirac equations, 103
for Klein-Gordon equation, 104
for Schr ̈odinger equation, 102
for Weyl equations, 102
Hamiltonian systems
in classical mechanics, 93
heat conduction, 407

Heisenberg uncertainty relation, 340

Helmholtz decomposition, 135

Higgs mechanism, 196

Hodge theory, 142

Homestake experiments, 348

horizon problem, 463

Hubble, 443

Hubble Law, 456

hypercharge, 260

I

Indc, color index, 317

inertial mass, 63

interaction potential pressure, 437

irreducible representation, 269

computation, 278

ofSU(N), 273

isospin, 260

J

Jeans theory, 440

jets, 451 , 454

K

KamLAND, 349

KG equation, 56

Klein-Gordon equation, 56 , 335

Hamiltonian system for, 104

Klein-Gordon fields, 87

Kruskal coordinate transformation, 434

L

Lagrangian action, 68

Lagrangian actions

in quantum mechanics, 86

Lagrangian dynamics, 80

Lagrangian for dynamics of charged

particles, 84

Laplace operator, 130

Laplace-Beltrami operator, 131 , 396 , 404

latitudinal circulation, 454

Lemaˆıtre cosmology, 460

lepton, 254

lepton decay, 262 , 306

lepton numbers, 258