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101 0 $aeng
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181   $ctxt
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183   $acr
200 10$aAdvanced classical field theory$b[electronic resource] /$fGiovanni Giachetta, Luigi Mangiarotti, Gennadi Sardanashvily
210   $aSingapore ;$aHackensack, NJ $cWorld Scientific$dc2009
215   $a1 online resource (393 p.)
300   $aDescription based upon print version of record.
311   $a981-283-895-3 
320   $aIncludes bibliographical references (p. 359-367) and index.
327   $aPreface; 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; Index
330   $aContemporary 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 manifo
606   $aField theory (Physics)$xMathematics
606   $aLagrange equations
615  0$aField theory (Physics)$xMathematics.
615  0$aLagrange equations.
676   $a530.143
700   $aGiachetta$b G$061715
701   $aMangiarotti$b L$061716
701   $aSardanashvili$b G. A$g(Gennadii? Aleksandrovich)$01466143
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801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910781199503321
996   $aAdvanced classical field theory$93691512
997   $aUNINA