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# qfconv - Conventions and Useful Formulae I Metric(Spacelike...

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Conventions and Useful Formulae I. Metric (“Spacelike” Convention) η kl = δ kl η 00 = - 1 η 0 k = 0 , so that A · B = η μν A μ B ν = A · B - A 0 B 0 . This convention is the opposite of Peskin and Schroeder (PS): their metric is g μν = - η μν . Thus ( A · B ) PS = - A · B . We always raise and lower indices with η μν or η μν . The “natural” forms x μ , ∂ μ will be identical to PS, but the “unnatural” forms x μ , ∂ μ will be the negative of the PS ones. For example, the quantum mechanical association of energy and momentum with time and space derivatives, for us, reads p μ = 1 i μ = - i∂ μ and the standard plane wave reads e ik · x . Generally, our conventions look most like those of quantum mechanics! Units : ¯ h = c = 1 α = e 2 4 π . We, however shall take e > 0, the positron charge, so that the electron charge is - e . II. Dirac Matrices γ μ , μ = 0 , 1 , 2 , 3. { γ μ , γ ν } = - 2 η μν where the braces denote the anticommutator. Sometimes we use β γ 0 and α i = γ 0 γ i . These conventions are identical to PS.

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qfconv - Conventions and Useful Formulae I Metric(Spacelike...

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