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?

<p>Dirac matrices (C)</p>
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What is the total number of gauge vector particles with massless and massive particles combined?

<p>11 (C)</p>
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Which generators correspond to the electromagnetic charge operator?

<p>T3, Y2 (D)</p>
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What does the electric charge of a field z depend on?

<p>Both SUL(2) Cartan charge and hypercharge (A)</p>
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In which representation do the SM elementary fermionic particles transform?

<p>(3, 2, 1/3) (C)</p>
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What is the field operator Aµ(x) responsible for in the relativistic covariant canonical quantization?

<p>Creating and annihilating particle states (B)</p>
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What is the role of the creation and annihilation operators a†λ(k) and aλ(k) in the quantization method?

<p>Obeying canonical commutation relations (C)</p>
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What does the T-product ⟨0|T {Aµ(x) Aµ(y)} |0⟩ represent in the quantization method?

<p>Feynman-Green 2-point function Gµν(x, y) (A)</p>
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How are particle states |k1,..,kn; λ1,..,λn⟩ obtained in this quantization method?

<p>By acting on the vacuum state |0⟩ using monomials (B)</p>
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