## Phenomenology in lattice gauge theory \ |

### From inside the book

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Page 27

... diagrams are given by the following: CF 92 N Jp,p,q) 2(a) = f - G(q + Up) G(q -

Up)D(Up+p)-q) X ,-1 n {«> ((^ + ^P + • ((</ - |AP )M/)]> x n {a-l{s(P,) + s(p )}}; (3.12)

f=r+l ' ' Fig. 2(c) has the same form as Fig. 2(h) but with

... diagrams are given by the following: CF 92 N Jp,p,q) 2(a) = f - G(q + Up) G(q -

Up)D(Up+p)-q) X ,-1 n {«> ((^ + ^P + • ((</ - |AP )M/)]> x n {a-l{s(P,) + s(p )}}; (3.12)

f=r+l ' ' Fig. 2(c) has the same form as Fig. 2(h) but with

**quark propagator**G (q - .i.Page 39

In particular, an action that would yield different expressions for the propagators

and vertices in our diagrams will, ... all the radiative mass corrections, leading to

the cancellation, and hence to the massless form of the

In particular, an action that would yield different expressions for the propagators

and vertices in our diagrams will, ... all the radiative mass corrections, leading to

the cancellation, and hence to the massless form of the

**quark propagator**.Page 48

J , which is the propagator in the background field of the gauge configuration {U}.

This calculation is ... In the quenched approximation the

computed for 20 configurations of the gauge field of a 62X 12X18 lattice.

J , which is the propagator in the background field of the gauge configuration {U}.

This calculation is ... In the quenched approximation the

**quark propagator**wascomputed for 20 configurations of the gauge field of a 62X 12X18 lattice.

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### Contents

Composite Operators in Perturbative QCD | 8 |

Lattice Analysis of Tensor Operators | 13 |

Feynman Rules and Numerators of the Diagrams | 32 |

6 other sections not shown

### Common terms and phrases

action C(AP calculation Chapter chiral coefficients component containing all terms correlation functions counterterms coupling constant covariant cutoff decay deep-inelastic scattering defined determine difference operator dimensional Dirac extract extrapolated fermion field Feynman diagrams Feynman rules finite four-vector free of power gauge field gences gluon vertex hadronic matrix elements hence higher order corrections higher twist hypercubic integrands lattice gauge theory lattice spacing mass methods mixing moments momentum scales naive operator nonperturbative numerical simulation obtain operator product expansion partons Pauli-Villars perturbation theory perturbative QCD phenomenology Phys physical units physical value pion pion form factor power law divergences ptot PV Qpva QCD sum rules quantum numbers quark propagator quenched approximation ratio renormalization scale changes simulations of QCD strong interactions structure functions subensembles symmetric difference symmetry tensor operators terms proportional theoretical prediction three-quark operators tion transform irreducibly valence quark vector wide-angle exclusive processes yields zero