Mathematical Principles of Theoretical Physics

4.6. WEAK INTERACTION THEORY 247 Here Jaμ=LγμσaL 1 ≤a≤ 3 , JLμ=νLγμνL+lLγμlL, JRμ=RγμR, γμ=gμ αγα. Masses are generated at the ...

248 CHAPTER 4. UNIFIED FIELD THEORY which requires the following transformation ofSU( 2 )generators from the Pauli matricesσa:  ...

4.6. WEAK INTERACTION THEORY 249 Under the transformation (4.6.68), (4.6.70) Zμ=cosθwWμ^3 +sinθwBμ, Aμ=−sinθwWμ^3 +cosθwBμ, wher ...

250 CHAPTER 4. UNIFIED FIELD THEORY Violation of PRI.In the classical electroweak theory, a key ingredient is thelinear combina ...

4.6. WEAK INTERACTION THEORY 251 Obviously, it is not reality. 4.Artificial Higgs mechanism.In the classical electroweak action ...

252 CHAPTER 4. UNIFIED FIELD THEORY ...

Chapter 5 Elementary Particles The aims of this chapter are as follows: 1) to give a brief introduction to the particle physics, ...

254 CHAPTER 5. ELEMENTARY PARTICLES This conclusion motivates us to propose a weakton model for sub-lepton, sub-quark, and sub-m ...

5.1 Basic Knowledge of Particle Physics. wheree,μ,τare the electron, the muon, the tau, andνe,νμ,ντare thee-neutrino, theμ- neut ...

256 CHAPTER 5. ELEMENTARY PARTICLES where the upper indexkingkandgk 0 represents the color index of gluons. The mediator duality ...

5.1. BASIC KNOWLEDGE OF PARTICLE PHYSICS 257 The main quantum numbers of particles are: (5.1.2) massm, electric chargeQ, lifetim ...

258 CHAPTER 5. ELEMENTARY PARTICLES Usual particles with decay have very short lifetime, and in general their lifetimesτdo not e ...

5.1. BASIC KNOWLEDGE OF PARTICLE PHYSICS 259 take three valuesL=± 1 ,0. For all non-lepton particles, their lepton number is zer ...

260 CHAPTER 5. ELEMENTARY PARTICLES the total parities of both sides of (5.1.5) are the same: (− 1 )l^1 πA 1 ···πAN= (− 1 )l^2 π ...

5.1. BASIC KNOWLEDGE OF PARTICLE PHYSICS 261 1.Decays. Particle decay means that a particle is spontaneously decomposed into sev ...

262 CHAPTER 5. ELEMENTARY PARTICLES Here are a few important scatterings in the history of quantum physics: Compton scattering: ...

5.1. BASIC KNOWLEDGE OF PARTICLE PHYSICS 263 Quark decays: (5.1.12) d→u+e−+νe, s→u+e−+νe, s→d+γ, c→d+s+u. Mediator decays: ( ...

264 CHAPTER 5. ELEMENTARY PARTICLES Meson decays: (5.1.15) π+→μ++νμ, π−→μ−+νμ, π^0 → 2 γ, K+→μ++νμ, π++π^0 , π++π++π−, K−→μ−+ν ...

5.1. BASIC KNOWLEDGE OF PARTICLE PHYSICS 265 2.Momentum conservation.Momentum is vectorial additive. For two particlesA 1 and A ...

266 CHAPTER 5. ELEMENTARY PARTICLES 5.1.4 Conservation laws Conservative Quantities Strong Electromagnetic Weak EnergyE Yes Yes ...