A Modefied Model of Euclidean Quantum Field Theory
A Modefied Model of Euclidean Quantum Field Theory
Kurt Symanzik
The book A Modefied Model of Euclidean Quantum Field Theory was written by author Kurt Symanzik Here you can read free online of A Modefied Model of Euclidean Quantum Field Theory book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is A Modefied Model of Euclidean Quantum Field Theory a good or bad book?
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) < fh^)^)- I 3gGQ(0)(h2)]. L:pg(V/) < exp [| (JGJ) ^- I 9g((h^ + G^(0))^) - 1_ /, 3v 1 -. _ o (o)(h?' o 1 - ^g (hp - i 5g G^(0)(hf)].
Since also differentiability v/ith respect to a in the sense of (111. 17b) is easily shown, NJa, Jv is an entire analytic functional of order at most four.
To see this more explicitly, we also prove directly the absolute convergence of the Volterra series for a'G^'a < 00, v;hich implies that |hj is bounded. The sum of the absolute values of the terms of the series is bounded by 1 ] I rt oT lo r -jc.
69 + I 3g|((H'^)2h2)| + g|((H-^)h^)| + Jg|(h^)| + 1 ^_ r, /^^//. T, ^2.
+ g 3g G^^^COllH^)"^) + 3g G^(0)|((H-^)h)l + + I 3g 0^(0)|(h2)| + (JH^)] L^3(^» Writing g = g-, ^ + gg + g^i ^2 2 5 ^ *^' ^® '^^^^ B||, j; < exp[J gl(h^)! + I 3g G^(0)|(h^)|]- ' J exj) [- I (Vv) - ^ (gg + gj) ((H;/)^) + + (g"\^ + I 3g)((H-^)2ihr) + I 5g G^(0)((H^)^) + + g( |{H;;/)i(|h^! +3G^(0)|h|)) + {JHi»], i;pg(7;.
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