Zuber - Ivariances in Physics and Group Theory.pdf

M2/International Centre for Fundamental Physics Parcours of Physique Th´eorique Invariances in Physics and Group Theory Jean-Bernard Zuber #$%& '$()#* +,$% -%#$ ./)0/( '$(1)#* ./#) .%/31$ .4$5/%%$6 7318%9 :; +; .%$,&
of 189
All materials on our website are shared by users. If you have any questions about copyright issues, please report us to resolve them. We are always happy to assist you.
  M2/International Centre for Fundamental Physics Parcours of Physique Th´eorique Invariances in Physicsand Group Theory Jean-Bernard Zuber   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  +(1)Q R$#% '$)2/(( R$6% -3L$($ O; R#L($) -)(&0 R#00 +%9)$1 \83(L @EBJ D @EEF @EBF D @EEA @AAG D @EGG @EBC D @EEG @E@@ D @EE@ @AKJ D @EIB =82$ 89 04$ 2/]8) /<08)& 89 L)83U 04$8)6 2$(0#8(($1 #( 04$ 9#)&0 U/)0 89 04$&$ (80$&    i Foreword The following notes cover the content of the course “Invariances in Physique and GroupTheory” given in the fall 2013. Additional lectures were given during the week of “pr´erentr´ee”on the SO(3), SU(2), SL(2, C ) groups, see below Chap. 0.Chapters 1 to 5 also contain, in sections in smaller characters and Appendices, additionaldetails that are not treated in the oral course. General bibliography ã  [BC] N.N. Bogolioubov et D.V. Chirkov,  Introduction `a la th´eorie quantique des champs  ,Dunod. ã  [BDm] J.D. Bjorken and S. Drell:  Relativistic Quantum Mechanics  , McGraw Hill. ã  [BDf] J.D. Bjorken and S. Drell:  Relativistic Quantum Fields  , McGraw Hill. ã  [Bo] N. Bourbaki,  Groupes et Alg`ebres de Lie  , Chap. 1-9, Hermann 1960-1983. ã  [Bu] D. Bump,  Lie groups  , Series “Graduate Texts in Mathematics”, vol.  225 , Springer2004. ã  [DFMS] P. Di Francesco, P. Mathieu and D. S´en´echal,  Conformal Field Theory  , Springer, ã  [DNF] B. Doubrovine, S. Novikov et A. Fomenko,  G´eom´etrie contemporaine  , 3 volumes,´Editions de Moscou 1982, reprinted in english by Springer. ã  [FH] W. Fulton and J. Harris,  Representation Theory  , Springer. ã  [Gi] R. Gilmore,  Lie groups, Lie algebras and some of their applications  , Wiley. ã  [Ha] M. Hamermesh,  Group theory and its applications to physical problems  , Addison-Wesley ã  [IZ] C. Itzykson et J.-B. Zuber,  Quantum Field Theory  , McGraw Hill 1980; Dover 2006. ã  [Ki] A.A. Kirillov,  Elements of the theory of representations  , Springer. ã  [LL] L. Landau et E. Lifschitz,  Th´eorie du Champ , Editions Mir, Moscou ou  The Classical Theory of Fields  , Pergamon Pr. ã  [M] A. Messiah,  M´ecanique Quantique  , 2 tomes, Dunod. ã  [OR] L. O’ Raifeartaigh,  Group structure of gauge theories  , Cambridge Univ. Pr. 1986. ã  [PS] M. Peskin and D.V. Schroeder,  An Introduction to Quantum Field Theory  , AddisonWesley.  ii ã  [Po] L.S. Pontryagin,  Topological Groups  , Gordon and Breach, 1966. ã  [St] S. Sternberg,  Group theory and physics  , Cambridge University Press. ã  [W] H. Weyl,  Classical groups  , Princeton University Press. ã  [Wf] S. Weinberg,  The Quantum Theory of Fields  , vol. 1, 2 and 3, Cambridge UniversityPress. ã  [Wg] S. Weinberg,  Gravitation and Cosmology  , John Wiley & Sons. ã  [Wi] E. Wigner,  Group Theory and its Applications to Quantum Mechanics  . Academ. Pr.1959. ã  [Z-J] J. Zinn-Justin,  Quantum Field Theory and Critical Phenomena  , Oxford Univ. Pr.
Related Search
We Need Your Support
Thank you for visiting our website and your interest in our free products and services. We are nonprofit website to share and download documents. To the running of this website, we need your help to support us.

Thanks to everyone for your continued support.

No, Thanks

We need your sign to support Project to invent "SMART AND CONTROLLABLE REFLECTIVE BALLOONS" to cover the Sun and Save Our Earth.

More details...

Sign Now!

We are very appreciated for your Prompt Action!