LEADER 05136nam 22015255 450 001 9910154752403321 005 20190708092533.0 010 $a1-4008-8186-2 024 7 $a10.1515/9781400881864 035 $a(CKB)3710000000620147 035 $a(MiAaPQ)EBC4738603 035 $a(DE-B1597)467912 035 $a(OCoLC)979580914 035 $a(DE-B1597)9781400881864 035 $a(EXLCZ)993710000000620147 100 $a20190708d2016 fg 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aGeneralized Feynman Amplitudes. (AM-62), Volume 62 /$fEugene R. Speer 210 1$aPrinceton, NJ : $cPrinceton University Press, $d[2016] 210 4$dİ1969 215 $a1 online resource (233 pages) 225 0 $aAnnals of Mathematics Studies ;$v250 311 $a0-691-08066-6 320 $aIncludes bibliographical references. 327 $tFrontmatter -- $tAcknowledgements -- $tAbstract -- $ttables of contents -- $tIntroductions -- $tCHAPTER I. Renormalization in Lagrangian Field Theory -- $tCHAPTER II. Definition of Generalized Amplitudes -- $tCHAPTER III. Analytic Renormalization -- $tCHAPTER IV. Summation of Feynman Amplitudes -- $tCONCLUSION -- $tAPPENDIX A. Graphs -- $tAPPENDIX B. Distributions -- $tAPPENDIX C. The Free Field -- $tBIBLIOGRAPHY 330 $aThis book contains a valuable discussion of renormalization through the addition of counterterms to the Lagrangian, giving the first complete proof of the cancellation of all divergences in an arbitrary interaction. The author also introduces a new method of renormalizing an arbitrary Feynman amplitude, a method that is simpler than previous approaches and can be used to study the renormalized perturbation series in quantum field theory. 410 0$aAnnals of mathematics studies ;$vNumber 62. 606 $aMathematical physics 606 $aQuantum field theory 610 $aAddition. 610 $aAdjoint. 610 $aAmplitude. 610 $aAnalytic continuation. 610 $aAnalytic function. 610 $aAntiparticle. 610 $aC-number. 610 $aCalculation. 610 $aChange of variables. 610 $aClassical electromagnetism. 610 $aCoefficient. 610 $aCommutative property. 610 $aCompact space. 610 $aComplex analysis. 610 $aComplex number. 610 $aConnectivity (graph theory). 610 $aConstant term. 610 $aConvolution. 610 $aDerivative. 610 $aDiagram (category theory). 610 $aDifferentiable function. 610 $aDistribution (mathematics). 610 $aEquation. 610 $aEstimation. 610 $aExplicit formulae (L-function). 610 $aFermion. 610 $aFock space. 610 $aFormal power series. 610 $aFourier transform. 610 $aFree field. 610 $aGauge theory. 610 $aGraph theory. 610 $aHilbert space. 610 $aIncidence matrix. 610 $aInteraction picture. 610 $aInvertible matrix. 610 $aIrreducibility (mathematics). 610 $aIsolated singularity. 610 $aLagrangian (field theory). 610 $aLaurent series. 610 $aMathematical induction. 610 $aMathematics. 610 $aMomentum. 610 $aMonomial. 610 $aMultiple integral. 610 $aNational Science Foundation. 610 $aNotation. 610 $aParameter. 610 $aPath integral formulation. 610 $aPermutation. 610 $aPolynomial. 610 $aPower series. 610 $aProbability. 610 $aPropagator. 610 $aQuadratic form. 610 $aQuantity. 610 $aQuantum field theory. 610 $aRemainder. 610 $aRenormalization. 610 $aRequirement. 610 $aS-matrix. 610 $aScattering amplitude. 610 $aScientific notation. 610 $aSecond quantization. 610 $aSeveral complex variables. 610 $aSimple extension. 610 $aSpecial case. 610 $aSubset. 610 $aSubtraction. 610 $aSuggestion. 610 $aSummation. 610 $aTaylor series. 610 $aTensor product. 610 $aTheorem. 610 $aTheory. 610 $aTopological space. 610 $aTranslational symmetry. 610 $aTree (data structure). 610 $aUniform convergence. 610 $aVacuum expectation value. 610 $aVacuum state. 610 $aVacuum. 610 $aVariable (mathematics). 610 $aVector field. 610 $aVector potential. 610 $aWick's theorem. 610 $aZ0. 615 0$aMathematical physics. 615 0$aQuantum field theory. 676 $a530.14/3 700 $aSpeer$b Eugene R., $050692 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910154752403321 996 $aGeneralized Feynman Amplitudes. (AM-62), Volume 62$92786627 997 $aUNINA