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Relativistic Covariant Canonical Quantization and Field Operators Quiz

12 Questions

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Relativistic Covariant Canonical Quantization and Field Operators Quiz

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Questions and Answers

What are the entries of the SO(1,3) vector of four hermitian 2x2 matrices?

σ α, σ β, σ γ, σ δ

σ a, σ b, σ c, σ d

σ 1, σ 2, σ 3, σ 4

σ 0, σ x, σ y, σ z (correct)

What is the equation of motion for a massive 4-component spinor field Ψ(x) in the absence of interactions with external fields?

(iγ µ ∂µ + m) Ψ = 0

(iγ µ ∂µ + m) Ψ = 1

(iγ µ ∂µ - m) Ψ = 1

(iγ µ ∂µ - m) Ψ = 0 (correct)

What algebra do the three σ i matrices obey?

SU(3) ≃ SO(2)

SO(3) ≃ SU(2) (correct)

SU(3) + SO(2)

SO(3) + SU(2)

What are the Dirac matrices called?

Dirac matrices Signup and view all the answers

What is the total number of gauge vector particles with massless and massive particles combined?

11 Signup and view all the answers

Which generators correspond to the electromagnetic charge operator?

T3, Y2 Signup and view all the answers

What does the electric charge of a field z depend on?

Both SUL(2) Cartan charge and hypercharge Signup and view all the answers

In which representation do the SM elementary fermionic particles transform?

(3, 2, 1/3) Signup and view all the answers

What is the field operator Aµ(x) responsible for in the relativistic covariant canonical quantization?

Creating and annihilating particle states Signup and view all the answers

What is the role of the creation and annihilation operators a†λ(k) and aλ(k) in the quantization method?

Obeying canonical commutation relations Signup and view all the answers

What does the T-product ⟨0|T {Aµ(x) Aµ(y)} |0⟩ represent in the quantization method?

Feynman-Green 2-point function Gµν(x, y) Signup and view all the answers

How are particle states |k1,..,kn; λ1,..,λn⟩ obtained in this quantization method?

By acting on the vacuum state |0⟩ using monomials Signup and view all the answers