Field Theory: Functional formulation of s-matrix theoryHafner, 1969 - Quantum field theory |
From inside the book
Results 1-3 of 88
Page 15
... q ( x ) defined on an arbitrary space having a finite number of dimen- sions , a denoting a point of this space . To ... function q ( x ) there corresponds the func- tion q ( x ) itself . The symbol F [ q ; x ] on the left - hand side of ...
... q ( x ) defined on an arbitrary space having a finite number of dimen- sions , a denoting a point of this space . To ... function q ( x ) there corresponds the func- tion q ( x ) itself . The symbol F [ q ; x ] on the left - hand side of ...
Page 16
... F [ q ] = √ dx f dyq ( x ) f ( x , y ) q ( Y ) , ( 1.2 ) where f ( x , y ) is a given function of the two variables x and y . The integral on the right - hand side is a number . To each function q ( x ) , therefore , is related a number .
... F [ q ] = √ dx f dyq ( x ) f ( x , y ) q ( Y ) , ( 1.2 ) where f ( x , y ) is a given function of the two variables x and y . The integral on the right - hand side is a number . To each function q ( x ) , therefore , is related a number .
Page 57
... function ( x , x ' ) the kernel of the functional transformation . In general , a functional transformation of the type ( 4.1 ) may contain also derivatives of the function q ( x ) and , there- fore , the kernel ( x , x ' ) may , in ...
... function ( x , x ' ) the kernel of the functional transformation . In general , a functional transformation of the type ( 4.1 ) may contain also derivatives of the function q ( x ) and , there- fore , the kernel ( x , x ' ) may , in ...
Contents
Preface | 11 |
Functional differentiation | 25 |
The Volterra series for functionals with antisymmetric coefficients | 38 |
Copyright | |
31 other sections not shown
Common terms and phrases
according anticommuting antisymmetric arbitrary functional Aret causality condition consider corresponding differential operator dq(x exponential expression factor finite formula Fourier transform Fresnel func function q(x functional derivatives functional differential functional F[q functional integrals functional matrices functional power series ƒ dx Hermite functionals hermitean infinite interaction functional Introducing k₁ kernel Klein-Gordon equation light cone linear mass shell matrix multiplication matrix multiplication law notation obtain orthonormal set particles perm power series expansion prescription quantities regularized functions relation respect right-hand side S-functional S-matrix satisfies scalar seen solution spinor symmetric theory unitarity vanish variables vector x₁ y₁ δ δ δ δ δ δα δαι δβ δη δη α δη δη δη ψ δτ δψ ν 2π Σπί ΣΣ ак бр ծզ