Recent content by fabstr1

  1. fabstr1

    Simplification of the Proca Lagrangian

    I have updated my solution shown below. Is it ok, or is there something that are missing ?
  2. fabstr1

    Simplification of the Proca Lagrangian

    I haven't taken any tensor calculus before, so I'm not sure if I'm doing it right. ∂L/∂F_{ μν } = - 1/(16*pi) * η^(μν)η^(νμ)*F_(μν)* F_(μν) = - 1/(16*pi)*η^(μν)η^(νμ)* F_(μν)^2 = -1/(8*pi)*η^(μν)η^(νμ)* F_(μν) = - 1/(8*pi)*η^(μν)η^(νμ)*(∂^(μ)A^(ν) - ∂^(ν)A^(μ))
  3. fabstr1

    Simplification of the Proca Lagrangian

    But what happends to the rest of the term in Eq (10.17), where is the -1/(4*pi) term coming from. L = - (1/(16*pi)) * η^(μν)η^(νμ)*F_(μν)
  4. fabstr1

    Simplification of the Proca Lagrangian

    Hello, I'm trying to figure out where the term (3) came from. This is from a textbook which doesn't explain how they do it. ∂_μ(∂L/(∂(∂_μA_ν)) = ∂L/∂A_ν (1) L = -(1/16*pi) * ( ∂^(μ)A^(ν) - ∂^(ν)A^(μ))(∂_(μ)A_(ν) - ∂_(ν)A_(μ)) + 1/(8*pi) * (mc/hbar)^2* A^ν A_ν (2) Here is Eq (1) the...
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