02844nam 2200601Ia 450 991080981280332120230721005541.01-282-44286-49786612442865981-283-896-1(CKB)2550000000003164(EBL)477152(OCoLC)613387836(SSID)ssj0000333930(PQKBManifestationID)11297166(PQKBTitleCode)TC0000333930(PQKBWorkID)10378177(PQKB)10740473(MiAaPQ)EBC477152(WSP)00002111 (Au-PeEL)EBL477152(CaPaEBR)ebr10361582(CaONFJC)MIL244286(EXLCZ)99255000000000316420090227d2009 uy 0engur|n|---|||||txtccrAdvanced classical field theory[electronic resource] /Giovanni Giachetta, Luigi Mangiarotti, Gennadi SardanashvilySingapore ;Hackensack, NJ World Scientificc20091 online resource (393 p.)Description based upon print version of record.981-283-895-3 Includes bibliographical references (p. 359-367) and index.Preface; Contents; Introduction; 1. Differential calculus on fibre bundles; 2. Lagrangian field theory on fibre bundles; 3. Grassmann-graded Lagrangian field theory; 4. Lagrangian BRST theory; 5. Gauge theory on principal bundles; 6. Gravitation theory on natural bundles; 7. Spinor fields; 8. Topological field theories; 9. Covariant Hamiltonian field theory; 10. Appendixes; Bibliography; IndexContemporary quantum field theory is mainly developed as quantization of classical fields. Therefore, classical field theory and its BRST extension is the necessary step towards quantum field theory. This book aims to provide a complete mathematical foundation of Lagrangian classical field theory and its BRST extension for the purpose of quantization. Based on the standard geometric formulation of theory of nonlinear differential operators, Lagrangian field theory is treated in a very general setting. Reducible degenerate Lagrangian theories of even and odd fields on an arbitrary smooth manifoField theory (Physics)MathematicsLagrange equationsField theory (Physics)Mathematics.Lagrange equations.530.143Giachetta G61715Mangiarotti L61716Sardanashvili G. A(Gennadiĭ Aleksandrovich)1645538MiAaPQMiAaPQMiAaPQBOOK9910809812803321Advanced classical field theory4023323UNINA