000 02538cam a22003254a 4500
999 _c106532
_d106532
001 16151469
003 OSt
005 20201001122822.0
008 100324s2010 nyua b 001 0 eng
010 _a
020 _a9780521115773 (hardback)
035 _a(OCoLC)ocn606234551
040 _aDLC
_cDLC
_dYDX
_dYDXCP
082 0 0 _a530.1430151 FAR
_2
100 1 _aFaria, Edson de.
245 1 0 _aMathematical aspects of quantum field theory /
_cEdson de Faria, Welington de Melo.
260 _aNew York :
_bCambridge University Press,
_c2010.
300 _axiii, 298 p. :
_bill. ;
_c24 cm.
490 1 _aCambridge studies in advanced mathematics ;
_v127
500 _aGBP 51.99/-
504 _aIncludes bibliographical references (p. 289-292) and index.
505 8 _aMachine generated contents note: Foreword Dennis Sullivan; Preface; 1. Classical mechanics; 2. Quantum mechanics; 3. Relativity, the Lorentz group and Dirac's equation; 4. Fiber bundles, connections and representations; 5. Classical field theory; 6. Quantization of classical fields; 7. Perturbative quantum field theory; 8. Renormalization; 9. The standard model; Appendix A. Hilbert spaces and operators; Appendix B. C* algebras and spectral theory; Bibliography; Index.
520 _a"Over the last century quantum field theory has made a significant impact on the formulation and solution of mathematical problems and inspired powerful advances in pure mathematics. However, most accounts are written by physicists, and mathematicians struggle to find clear definitions and statements of the concepts involved. This graduate-level introduction presents the basic ideas and tools from quantum field theory to a mathematical audience. Topics include classical and quantum mechanics, classical field theory, quantization of classical fields, perturbative quantum field theory, renormalization, and the standard model. The material is also accessible to physicists seeking a better understanding of the mathematical background, providing the necessary tools from differential geometry on such topics as connections and gauge fields, vector and spinor bundles, symmetries and group representations"--
_cProvided by publisher.
650 0 _aQuantum field theory
_xMathematics.
700 1 _aMelo, Welington de.
830 0 _aCambridge studies in advanced mathematics ;
_v127.
906 _a7
_bcbc
_corignew
_d1
_eecip
_f20
_gy-gencatlg
942 _2ddc
_cBK