as3 (1) - 1 and 2 3-2 . Find the the time ordered product Z...

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Physics 253b Assignment #3 updated Tuesday 23 rd February, 2010, 11:22 This should be a straightforward exercise generalizing the K¨all´en-Lehmann representation. As always, please email with questions. We will discuss due date and what-not in class. 3-1 . Derive the K¨all´en-Lehmann representation for a hermitian vector current, j μ : Δ( k 2 ) Z h 0 | T j μ ( x ) j ν (0) | 0 i e ikx d 4 x = Z 0 g μν ρ 1 ( M 2 ) + k μ k ν ρ 2 ( M 2 ) · ± i k 2 - M 2 + dM 2 2 π Find the strongest positivity constraints on
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Unformatted text preview: 1 and 2 3-2 . Find the the time ordered product Z h | T j ( x ) j (0) | i e ikx d 2 x explicitly for a current j = where free massless fermion in 1+1 dimension. Use the conventions discussed in the footnote on page 12 of the 2D paper on the web site. Use current conservation to eliminate any divergences. 1...
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This note was uploaded on 02/04/2012 for the course PHY 253B taught by Professor Georgi during the Spring '10 term at Princeton.

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