量子场论

出版时间:2010-4  出版社:世界图书出版公司  作者:思雷德尼奇  页数:641  
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前言

Quantum field theory is the basic mathematical language that is used to describe and analyze the physics of elementary particles. The goal of this book is to provide a concise, step-by-step introduction to this subject, one that covers all the key concepts that are needed to understand the Standard Model of elementary particles, and some of its proposed extensions. In order to be prepared to undertake the study of quantum field theory, you should recognize and understand the following equations: This list is not, of course, complete; but if you are familiar with these equations, you probably know enough about quantum mechanics, classical mechanics, special relativity, and electromagnetism to tackle the material in this book. Quantum field theory has the reputation of being a subject that is hard to learn. The problem, I think, is not so much that its basic ingredients are unusually difficult to master (indeed, the conceptual shift needed to go from quantum mechanics to quantum field theory is not nearly as severe as the one needed to go from classical mechanics to quantum mechanics), but rather that there are a lot of these ingredients. Some are fundamental, but many are just technical aspects of an unfamiliar form of perturbation theory. In this book, I have tried to make the subject as accessible to beginners as possible. There are three main aspects to my approach. Logical development of the basic concepts. This is, of course, very different from the historical development of quantum field theory, which, like the historical development of most worthwhile subjects, was filled with inspired guesses and brilliant extrapolations of sometimes fuzzy ideas, as well as its fair share of mistakes, misconceptions, and dead ends. None of that is in this book. From this book, you will (I hope) get the impression that the whole subject is effortlessly clear and obvious, with one step following the next like sunshine after refreshing rain. Illustration of the basic concepts with the simplest examples. In most fields of human endeavor, newcomers are not expected to do the most demanding tasks right away. It takes time, dedication, and lots of practice to work up to what the accomplished masters are doing. There is no reason to expect quantum field theory to be any different in this regard. Therefore, we will start off by analyzing quantum field theories that are not immediately applicable to the real world of electrons, photons, protons, etc., but that will allow us to gain familiarity with the tools we will need, and to practice using them. Then, when we do work up to "real physics," we will be fully ready for the task. To this end, the book is divided into three parts: Spin Zero, Spin One Half, and Spin One. The technical complexities associated with a particular type of particle increase with its spin. We will therefore first learn all we can about spinless particles before moving on to the more difficult (and more interesting) nonzero spins. Once we get to them, we will do a good variety of calculations in (and beyond) the Standard Model of elementary particles.

内容概要

  I have tried to make the subject as accessible to beginners as possible. There are three main aspects to my approach. Logical development of the basic concepts. This is, of course, very different from the historical development of quantum field theory, which, like the historical development of most worthwhile subjects, was filled with inspired guesses and brilliant extrapolations of sometimes fuzzy ideas, as well as its fair share of mistakes, misconceptions, and dead ends. None of that is in this book. From this book, you will (I hope) get the impression that the whole subject is effortlessly clear and obvious, with one step following the next like sunshine after refreshing rain.

作者简介

作者:(美国)思雷德尼奇(Mark Srednicki)

书籍目录

Preface for students Preface for instructors Acknowledgments Part I Spin Zero 1 Attempts at relativistic quantum mechanics 2 Lorentz invariance (prerequisite: 1) 3 Canonical quantization of scalar fields (2) 4 The spin-statistics theorem (3) 5 The LSZ reduction formula (3) 6 Path integrals in quantum mechanics 7 The path integral for the harmonic oscillator (6) 8 The path integral for free field theory (3, 7) 9 The path integral for interacting field theory (8) 10 Scattering amplitudes and the Feynman rules (5, 9) 11 Cross sections and decay rates (10) 12 Dimensional analysis with h = c = i (3) 13 The Lehmann-Kallen form of the exact propagator (9) 14 Loop corrections to the propagator (10, 12, 13) 15 The one-loop correction in Lehmann-Kallen form (14) 16 Loop corrections to the vertex (14) 17 Other 1PI vertices (16) 18 Higher-order corrections and renormalizability (17) 19 Perturbation theory to all orders (18) 20 Two-particle elastic scattering at one loop (19) 21 The quantum action (19) 22 Continuous symmetries and conserved currents (8) 23 Discrete symmetries: P, T, C, and Z (22) 24 Nonabelian symmetries (22) 25 Unstable particles and resonances (14) 26 Infrared divergences (20) 27 Other renormalization schemes (26) 28 The renormalization group (27) 29 Effective field theory (28) 30 Spontaneous symmetry breaking (21) 31 Broken symmetry and loop corrections (30) 32 Spontaneous breaking of continuous symmetries (22, 30) Part II Spin One Half 33 Representations of the Lorentz group (2) 34 Left- and right-handed spinor fields (3, 33) 35 Manipulating spinor indices (34) 36 Lagrangians for spinor fields (22, 35) 37 Canonical quantization of spinor fields I (36) 38 Spinor technology (37) 39 Canonical quantization of spinor fields II (38) 40 Parity, time reversal, and charge conjugation (23, 39) 41 LSZ reduction for spin-one-half particles (5, 39) 42 The free fermion propagator (39) 43 The path integral for fermion fields (9, 42) 44 Formal development of fermionic path integrals (43) 45 The Feynman rules for Dirac fields (10, 12, 41, 43) 46 Spin sums (45) 47 Gamma matrix technology (36) 48 Spin-averaged cross sections (46, 47) 49 The Feynman rules for Majorana fields (45) 50 Massless particles and spinor helicity (48) 51 Loop corrections in Yukawa theory (19, 40, 48) 52 Beta functions in Yukawa theory (28, 51) 53 Functional determinants (44, 45) Part III Spin One 54 Maxwell's equations (3) 55 Electrodynamics in Coulomb gauge (54) 56 LSZ reduction for photons (5, 55) 57 The path integral for photons (8, 56) 58 Spinor electrodynamics (45, 57) 59 Scattering in spinor electrodynamics (48, 58) 60 Spinor helicity for spinor electrodynamics (50, 59) 61 Scalar electrodynamics (58) 62 Loop corrections in spinor electrodynamics (51, 59) 63 The vertex function in spinor electrodyna, mics (62) 64 The magnetic moment of the electron (63) 65 Loop corrections in scalar electrodynamics (61, 62) 66 Beta functions in quantum electrodynamics (52, 62) 67 Ward identities in quantum electrodynamics I (22, 59) 68 Ward identities in quantum electrodynamics II (63, 67) 69 Nonabelian gauge theory (24, 58) 70 Group representations (69) 71 The path integral for nonabelian gauge theory (53, 69) 72 The Feynman rules for nonabelian gauge theory (71) 73 The beta function in nonabelian gauge theory (70, 72) 74 BRST symmetry (70, 71) 75 Chiral gauge theories and anomalies (70, 72) 76 Anomalies in global symmetries (75) 77 Anomalies and the path integral for fermions (76) 78 Background field gauge (73) 79 Gervais-Neveu gauge (78) 80 The Feynman rules for N x N matrix fields (10) 81 Scattering in quantum chromodynamics (60, 79, 80) 82 Wilson loops, lattice theory, and confinement (29, 73) 83 Chiral symmetry breaking (76, 82) 84 Spontaneous breaking of gauge symmetries (32, 70) 85 Spontaneously broken abelian gauge theory (61, 84) 86 Spontaneously broken nonabelian gauge theory (85) 87 The Standard Model: gauge and Higgs sector (84) 88 The Standard Model: lepton sector (75, 87) 89 The Standard Model: quark sector (88) 90 Electroweak interactions of hadrons (83, 89) 91 Neutrino masses (89) 92 Solitons and monopoles (84) 93 Instantons and theta vacua (92) 94 Quarks and theta vacua (77, 83, 93) 95 Supersymmetry (69) 96 The Minimal Supersymmetric Standard Model (89, 95) 97 Grand unification (89) Bibliography Index

章节摘录

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用户评论 (总计11条)

 
 

  •   唉, 印刷有问题, 四百四十多面的地方有四面印得重影(买了这本书的朋友记得看一定检查一下,可能其他地方也会有重影问题). 换货又遇见七的八的些破问题.明明在街边随便一个商店都可以轻松解决的质量问题换货, 却被客服以"系统下无法操作"为由弄得麻烦得要死.当"系统下无法操作"成为客服的口头禅时, 让人不禁想问到底是人控制机器还是机器控制人?客服是否已不再是来处理交易中出现的问题, 而只是用来协助系统说服顾客接受系统设置(哪怕产生不合理的结果)的工具?
  •   结果是第一次corrections的,还得继续去勘误,郁闷,弄还不弄最新印刷的来影印
  •   本人是初学者。先是看的atlander的"condensed matter field theory",Zee的"quantum field theory in a nutshell", "finite temperature field theory", "a modern introduction to quantum field theory"。前前后后总共两年吧,很多也做了推导,但是不理解内容。一直到最后碰到这本书。从头到尾跟着推导了下来,并且理解了相应的内容。感觉这本书最适合自学,非常清晰。不过讲的内容并没有完全涵盖场论的所有内容,不如wenberg的书那么全。但是学完了以后,可以理解80%场论中的内容。不管你是学粒子物理的,还是学凝聚态的,都推荐这本书作为第一本场论书。(本人是做冷原子的;以后打算做弦理论)
  •   感觉讲的还算详细,不过不适合初学者,要有基础才行。
  •   学习QFT的好书,强力推荐。别去肯Peskin了。
  •   书的纸质质量还可以,内容还没看。
  •   这本教材挺不错的,场论的教材很多,而且不同人写的思路也各不相同,最好每本都从头开始顺着作者的思路走下去。
  •   和peskin一样经典。
  •   看了十几页,感觉斯雷德尼奇先生特别注重物理思想,刚开始就告诉我们,我们在干什么,什么是量子场论,而且授课形式比较新。希望能把这本书吃透。目前还不敢动用Peskin和温伯格等大牛。
  •   还木有看,据说比peskin好懂
  •   暂不作其他评论,因为还没看
 

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