格点规范理论-第4版 本书特色

this book provides a broad introduction to gauge field theories formulated on a space—time lattice， and in particular of qcd.it serves as a textbook for advanced graduate students， and also provides the reader with the necessary analytical and numerical techniques to carry out research on his own.although the analytic calculations are sometimes quite demanding and go beyond an introduction， they are discussed in sufficient detail， so that the reader can fill in the missing steps.the book also introduces the reader to interesting problems which are currently under intensive investigation.whenever possible， the main ideas are exemplified in simple models， before extending them to realistic theories.special emphasis is placed on numerical results obtained from pioneering work.these are displayed in a great number of figures.beyond the necessary amendments and slight extensions of some sections in the third edition， the fourth edition includes an expanded section on calorons—a subject which has been under intensive investigation during the last twelve years.

格点规范理论-第4版 目录

dedication 
preface 
preface to the third edition 
preface to the second edition 
preface to the first edition 
1.introduction 
2.the path integral approach to quantization 
2.1the path integral method in quantum mechanics 
2.2 path integral representation of bosonic green functionsinfieldtheory 
2.3the transfer matrix 
2.4 path integral r，epresentation of fermionicgreen functions 
2.5discretizing space—time.the lattice as a regulator ofaquantum field theory 
3.the free scalar field on the lattice 
4.fermions on the lattice 
4.1the doubling problem 
4.2a closer look at fermion doubling 
4.3wilson fermions 
4.4staggered fermions 
4.5 technical details of the staggered fermion formulation 
4.6 staggered fermions in momentum space 
4.7ginsparg—wilson fermions.the overlap operator 
5.abelian gauge fields on the latticeand compact qed 
5.1 preliminaries 
5.2 lattice formulation of qed 
6.non abelian gauge fields on the latticecompact qcd 
7.the wilson loop and the staticquark—antiquark potential 
7.1a look at non—relativistic quantum mechanics 
7.2 the wilson loop and the static qq=potentialin qed 
7.3 the wilson loop in qcd 
8.the qq—potential in some simple models 
8.1the potentialin quenched qed 
8.2the potential in quenched compact qed2 
9.the continuum limit of lattice qcd 
9.1 critical behaviour of lattice qcd and the continuumlimit 
9.2 dependence of the coupling constant on the lattice spacingand the renormalization group β—function 
10.lattice sum rules 
10.1 energy sum rule for the harmonic oscillator 
10.2 the su（n） gauge action on an anisotropic lattice 
10.3 sum rules for the static qq—potential 
10.4determination of the electric， magnetic and anomalous contribution to the qq potential 
10.5 sum rules for the glueball mass 
11.the strong coupling expansion 
11.1the qq—potential to leading order in strong coupling 
11.2 beyond the leading approximation 
11.3the lattice hamiltonian in the strong coupling limitand the string picture of confinement 
12.the hopping parameter expansion 
12.1path integral r，epresentation of correlation functionsin terms of bosonic variables 
12.2hopping parameter expansion of the fermion propagatorin an externalfield 
12.3hopping parameter expansion of the effective action 
12.4 the hpe and the pauli exclusion principle 
13.weak coupling expansion （ⅰ）.the φ3—theory 
13.1introduction 
13.2 weak coupling expansion of correlation functions in the φ3—theory 
13.3 the power counting theorem of reisz 
14.weak coupling expansion （ⅱ）.lattice qed 
14.1 the gauge fixed lattice action 

 1/2    1 2 下一页 尾页

自然科学 数学 数学理论

在线阅读