LEADER 05263nam 2200625Ia 450 001 9910814661003321 005 20230721021756.0 010 $a981-283-287-4 035 $a(CKB)1000000000766123 035 $a(EBL)1193658 035 $a(SSID)ssj0000518838 035 $a(PQKBManifestationID)12139967 035 $a(PQKBTitleCode)TC0000518838 035 $a(PQKBWorkID)10494984 035 $a(PQKB)11273713 035 $a(MiAaPQ)EBC1193658 035 $a(WSP)00001479 035 $a(Au-PeEL)EBL1193658 035 $a(CaPaEBR)ebr10688070 035 $a(CaONFJC)MIL498385 035 $a(OCoLC)747539687 035 $a(EXLCZ)991000000000766123 100 $a20090204d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLectures on quantum field theory$b[electronic resource] /$fAshok Das 210 $aSingapore ;$aHackensack, NJ $cWorld Scientific$dc2008 215 $a1 online resource (792 p.) 300 $aDescription based upon print version of record. 311 $a981-283-286-6 311 $a981-283-285-8 320 $aIncludes bibliographical references and index. 327 $aContents; Preface; 1 Relativistic equations; 1.1 Introduction; 1.2 Notations.; 1.3 Klein-Gordon equation; 1.3.1 Klein paradox; 1.4 Dirac equation.; 1.5 References; 2 Solutions of the Dirac equation; 2.1 Plane wave solutions; 2.2 Normalization of the wave function; 2.3 Spin of the Dirac particle.; 2.4 Continuity equation.; 2.5 Dirac's hole theory; 2.6 Properties of the Dirac matrices; 2.6.1 Fierz rearrangement; 2.7 References; 3 Properties of the Dirac equation; 3.1 Lorentz transformations; 3.2 Covariance of the Dirac equation; 3.3 Transformation of bilinears. 327 $a3.4 Projection operators, completeness relation3.5 Helicity; 3.6 Massless Dirac particle; 3.7 Chirality; 3.8 Non-relativistic limit of the Dirac equation.; 3.9 Electron in an external magnetic field; 3.10 Foldy-Wouthuysen transformation.; 3.11 Zitterbewegung; 3.12 References; 4 Representations of Lorentz and Poincar ?e groups; 4.1 Symmetry algebras; 4.1.1 Rotation; 4.1.2 Translation; 4.1.3 Lorentz transformation; 4.1.4 Poincar ?e transformation; 4.2 Representations of the Lorentz group; 4.2.1 Similarity transformations and representations; 4.3 Unitary representations of the Poincar ?e group 327 $a4.3.1 Massive representation4.3.2 Massless representation; 4.4 References; 5 Free Klein-Gordon field theory; 5.1 Introduction; 5.2 Lagrangian density; 5.3 Quantization.; 5.4 Field decomposition.; 5.5 Creation and annihilation operators.; 5.6 Energy eigenstates; 5.7 Physical meaning of energy eigenstates; 5.8 Green's functions; 5.9 Covariant commutation relations; 5.10 References; 6 Self-interacting scalar field theory; 6.1 N ?other's theorem; 6.1.1 Space-time translation; 6.2 Self-interacting 4 theory.; 6.3 Interaction picture and time evolution operator; 6.4 S-matrix 327 $a6.5 Normal ordered product and Wick's theorem6.6 Time ordered products and Wick's theorem; 6.7 Spectral representation and dispersion relation; 6.8 References; 7 Complex scalar field theory; 7.1 Quantization.; 7.2 Field decomposition.; 7.3 Charge operator; 7.4 Green's functions; 7.5 Spontaneous symmetry breaking and the Goldstone theorem; 7.6 Electromagnetic coupling.; 7.7 References; 8 Dirac field theory.; 8.1 Pauli exclusion principle; 8.2 Quantization of the Dirac field.; 8.3 Field decomposition.; 8.4 Charge operator; 8.5 Green's functions; 8.6 Covariant anti-commutation relations 327 $a8.7 Normal ordered and time ordered products8.8 Massless Dirac fields; 8.9 Yukawa interaction; 8.10 Feynman diagrams; 8.11 References; 9 Maxwell field theory; 9.1 Maxwell's equations.; 9.2 Canonical quantization; 9.3 Field decomposition.; 9.4 Photon propagator; 9.5 Quantum electrodynamics; 9.6 Physical processes; 9.7 Ward-Takahashi identity in QED; 9.8 Covariant quantization of the Maxwell theory; 9.9 References; 10 Dirac method for constrained systems; 10.1 Constrained systems; 10.2 Dirac method and Dirac bracket.; 10.3 Particle moving on a sphere; 10.4 Relativistic particle 327 $a10.5 Dirac field theory 330 $aThis book consists of the lectures for a two-semester course on quantum field theory, and as such is presented in a quite informal and personal manner. The course starts with relativistic one-particle systems, and develops the basics of quantum field theory with an analysis of the representations of the Poincare? group. Canonical quantization is carried out for scalar, fermion, Abelian and non-Abelian gauge theories. Covariant quantization of gauge theories is also carried out with a detailed description of the BRST symmetry. The Higgs phenomenon and the standard model of electroweak interactio 606 $aQuantum field theory$vTextbooks 606 $aField theory (Physics) 615 0$aQuantum field theory 615 0$aField theory (Physics) 676 $a530.14/3 700 $aDas$b Ashok$f1953-$049961 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910814661003321 996 $aLectures on quantum field theory$94071889 997 $aUNINA