14.2 lattice feynman rules 
14.3renormalization of the axial vector current in one—looporder 
14.4the abj anomaly 
15.weak coupling expansion （ⅲ）.lattice qcd 
15.1the link integration measure 
15.2 gauge fixing and the faddeev—popov determinant 
15.3 the gauge field action 
15.4 propagators and vertices 
15.5 relation between al and the a—parameter of continuum qcd 
15.6universality of the axial anomaly in lattice qcd 
16.monte carlo methods 
16.1introduction 
16.2 construction principles for algorithms.markov chains 
16.3 the metropolis method 
16.4 the langevin algorithm 
16.5 the molecular dynamics method 
16.6 the hybrid algorithm 
16.7 the hybrid monte carlo algorithm 
16.8 the pseudofermion method 
16.9application of the hybrid monte carlo algorithmto systems with fermions 
17.some results of monte carlo calculations 
17.1 the string tension and the qq potentialin the su（3） gaugetheory 
17.2 the qq—potentialin full qcd 
17.3 chiral symmetry breaking 
17.4glueballs 
17.5 hadron mass spectrum 
17.6instantons 
17.7 flux tubes in qq and qqq—systems 
17.8the dual superconductor picture of confinement 
17.9 center vortices and confinement 
17.10 calorons 
18.path—integral representation of the thermodynamical partition functionfor some solvable bosonic and fermionicsystems 
18.1introduction 
18.2path—integral r；epresentation of the partition function in quantum mechanics 
18.3 sum rule for the mean energy 
18.4 test of the energy sum rule.the harmonic oscillator 
18.5the free relativistic boson gas in the path integral approach 
18.6the photon gas in the path integral approach 
18.7 functional methods for fermions.basics 
18.8path integral r，epresentation of the partition functionfor a fermionic system valid for arbitrary time—step 
18.9 a modified fermion action leading to fermion doubling 
18.10the free dirac gas.continuum approach 
18.11 dirac gas of wilson fermions on the lattice 
…… 
19.fimte temperature perturbation theory ofand on the lattice 
20.non—perturbative qcd at finite temperature 
appendix a 
appendix b 
appendix c 
appendix d 
appendix e 
appendix f 
appendix g 
references 
index

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自然科学 数学 数学理论

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