'Et moi. ...ac Ii j'avait su CClIIIIIIaIt CD 1'CVCDir, ODe scmcc matbcmatK:s bas I'CIIdcRd !be je D', semis paiDt ~. humaD mcc. It bas put common sease bact Jules Vcmc 'WIIcR it bdoDp, 011 !be topmost sbdl JlCXt 10 !be dully c:uista' t.bdlcd 'cIiIc:arded DOlI- The series is diverpt; therefore we may be sense'. Eric T. BcII able 10 do sometbiDa with it O. Heavilide Mathematics is a tool for thought. A highly ncceuary tool in a world where both feedback and non- 1inearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the l'Iison d'etre of this series.**(yi)/ Here and everywhere below the a#39;brokena#39; brackets serve as an abbreviation for vacuum expectation values. It is easy to express the functions ... of the function (l/i)D (y. - x ) y j 3 k (which is the chronological pairing of A(y^) with some field alt; Mxjt) from F) by the 6-function 6 (y - x ). For Feynman diagrams that would mean J k that the line connecting the vertices and x^ is contracted into ... alt;t(y^)agt; differs from alt;F(x) :alt;tagt;(yj) acacac ac(y^):agt; only by disconnected diagrams. Thus PjrAdp(x I y1# yx )anbsp;...

Title | : | Renormalized Quantum Field Theory |

Author | : | O.I. Zavialov |

Publisher | : | Springer - 1990-02-28 |

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