polchinski_string_theory_vol1

polchinski_string_theory_vol1

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时间:2018-07-26

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1、ContentsForewordxiiiPrefacexvNotationxviii1.Afirstlookatstring11.1Whystrings11.2Actionprinciples91.3Theopenstringspectrum161.4Closedandunorientedstrings25Exercises302.Conformalfieldtheory322.1Masslessscalarsintwodimensions322.2Theoperatorproductexpansion362.3WardidentitiesandNoether

2、'stheorem412.4Conformalinvariance432.5FreeCFTs492.6TheVirasoroalgebra522.7Modeexpansions582.8Vertexoperators632.9Moreonstatesandoperators68Exercises743.ThePolyakovpathintegral773.1Sumsoverworld-sheets773.2ThePolyakovpathintegral823.3Gaugefixing843.4TheWeylanomaly903.5Scatteringampli

3、tudes973.6Vertexoperators1013.7Stringsincurvedspace-time108Exercises1184.Thestringspectrum1214.1Oldcovariantquantization1214.2BRSTquantization1264.3BRSTquantizationofthestring1314.4Theno-ghosttheorem137Exercises1435.ThestringS-matrix1455.1Thecircleandthetorus1455.2ModuliandRiemannsu

4、rfaces1505.3Themeasureformoduli1545.4Moreaboutthemeasure159Exercises1646Tree-levelamplitudes1666.1Riemannsurfaces1666.2Scalarexpectationvalues1696.3ThebcCFT1766.4TheVenezianoamplitude1786.5Chan-Patonfactorsandgaugeinteraction1846.6Closedstringtreeamplitudes1926.7Generalresults198Exe

5、rcises2047.One-loopamplitudes2067.1Riemaunsurfaces2067.2CFTonthetorus2087.3Thetorusamplitude2167.4Openandunorientedone-loopgraphs222Exercises2298.ToroidalcompactificationandT-duality2318.1Toroidalcompactificationinfieldtheory2318.2ToroidalcompactificationinCFT2358.3ClosedstringsandT

6、-duality2418.4Compactificationofseveraldimensions2498.5Orbifolds2568.6Openstrings2638.7D-branes2688.8T-dualityofunonentedtheories277Exercises2809.Higherorderamplitudes2839.1Generaltree-levelamplitudes2839.2HighergenusRicmannsurfaces2909.3Sewingandcuttingworld-sheets2949.4Sewingandcu

7、ttingCFTs3009.5Generalamplitudes3059.6Stringfieldtheory3109.7Largeorderbehavior3159.8Highenergyandhightemperature3179.9Lowdimensionsandnoncriticalstrings323Exercises327AppendixA:Ashortcourseonpathintegrals329A.1Bosonicfields329A.2Fermionicfields341Exercises345References347Glossary35

8、9Index389NotationTh

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