{"product_id":"introduction-to-quantum-field-theory-hardback-9781108493994","title":"Introduction to Quantum Field Theory (Hardback) 9781108493994","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eIntroduction to Quantum Field Theory\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA comprehensive, graduate-level textbook introducing quantum field theory, giving equal emphasis to operator and path integral formalisms.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eHoratiu Nastase (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781108493994, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 17 October 2019\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e730 pages, 5 b\/w illus.\u003cbr\u003e25.3 x 19.5 x 3.8 cm, 1.72 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eQuantum Field Theory provides a theoretical framework for understanding fields and the particles associated with them, and is the basis of particle physics and condensed matter research. This graduate level textbook provides a comprehensive introduction to quantum field theory, giving equal emphasis to operator and path integral formalisms. It covers modern research such as helicity spinors, BCFW construction and generalized unitarity cuts; as well as treating advanced topics including BRST quantization, loop equations, and finite temperature field theory. Various quantum fields are described, including scalar and fermionic fields, Abelian vector fields and Quantum ElectroDynamics (QED), and finally non-Abelian vector fields and Quantum ChromoDynamics (QCD). Applications to scattering cross sections in QED and QCD are also described. Each chapter ends with exercises and an important concepts section, allowing students to identify the key aspects of the chapter and test their understanding.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Review of classical field theory\u003cbr\u003e 2. Quantum mechanics\u003cbr\u003e 3. Canonical quantization of scalar fields\u003cbr\u003e 4. Propagators for free scalar fields\u003cbr\u003e 5. Interaction picture and wick theorem for ??4 in operator formalism\u003cbr\u003e 6. Feynman rules for ??4 from the operator formalism\u003cbr\u003e 7. The driven (forced) harmonic oscillator\u003cbr\u003e 8. Euclidean formulation and finite temperature field theory\u003cbr\u003e 9. The Feynman path integral for a scalar field\u003cbr\u003e 10. Wick theorem for path integrals and Feynman rules part I\u003cbr\u003e 11. Feynman rules in X-Space and P-Space\u003cbr\u003e 12. Quantization of the Dirac field and Fermionic path integral\u003cbr\u003e 13. Wick theorem, Gaussian integration and Feynman rules for fermions\u003cbr\u003e 14. Spin sums, Dirac field bilinears and C,P,T symmetries for fermions\u003cbr\u003e 15. Dirac quantization of constrained systems\u003cbr\u003e 16. Quantization of gauge fields, their path integral, and the photon propagator\u003cbr\u003e 17. Generating functional for connected Green's Functions and the effective action (1PI Diagrams)\u003cbr\u003e 18. Dyson–Schwinger equations and ward identities\u003cbr\u003e 19. Cross sections and the S-Matrix\u003cbr\u003e 20. The S-matrix and Feynman diagrams\u003cbr\u003e 21. The optical theorem and the cutting rules\u003cbr\u003e 22. Unitarity and the largest time equation\u003cbr\u003e 23. QED\u003cbr\u003e 24. Nonrelativistic processes\u003cbr\u003e 25. E+E? ? L¯ L unpolarized cross section\u003cbr\u003e 26. E+E? ?L¯ L polarized cross section\u003cbr\u003e 27. (Unpolarized) Compton scattering\u003cbr\u003e 28. The Helicity Spinor formalism\u003cbr\u003e 29. Gluon amplitudes, the Parke–Taylor formula and the BCFW construction\u003cbr\u003e 30. Review of path integral and operator formalism and the Feynman diagram expansion\u003cbr\u003e 31. One-loop determinants, vacuum energy and zeta function regularization\u003cbr\u003e 32. One-loop divergences for scalars\u003cbr\u003e 33. Regularization, definitions\u003cbr\u003e 34. One-loop renormalization for scalars and counterterms in dimensional regularization\u003cbr\u003e 35. Renormalization conditions and the renormalization group\u003cbr\u003e 36. One-loop renormalizability in QED\u003cbr\u003e 37. Physical applications of one-loop results 1. Vacuum Polarization\u003cbr\u003e 38. Physical applications of one-loop results 2. Anomalous magnetic moment and lamb shift\u003cbr\u003e 39. Two-loop example and multiloop generalization\u003cbr\u003e 40. The LSZ reduction formula\u003cbr\u003e 41. The Coleman–Weinberg mechanism for one-loop potential\u003cbr\u003e 42. Quantization of gauge theories I\u003cbr\u003e 43. Quantization of gauge theories II\u003cbr\u003e 44. One-loop renormalizability of gauge theories\u003cbr\u003e 45. Asymptotic freedom. BRST symmetry\u003cbr\u003e 46. Lee–Zinn–Justin identities and the structure of divergences (formal renormalization of gauge theories)\u003cbr\u003e 47. BRST quantization\u003cbr\u003e 48. QCD\u003cbr\u003e 49. Parton evolution and Altarelli-Parisi equation\u003cbr\u003e 50. The Wilson Loop and the Makeenko–Migdal Loop equation. Order parameters\u003cbr\u003e 'T Hooft Loop\u003cbr\u003e 51. IR divergences in QED\u003cbr\u003e 52. IR safety and renormalization in QCD\u003cbr\u003e General IR-factorized form of amplitudes\u003cbr\u003e 53. Factorization and the Kinoshita–Lee–Nauenberg theorem\u003cbr\u003e 54. Perturbatives anomalies\u003cbr\u003e 55. Anomalies in path integrals – the Fujikawa method\u003cbr\u003e 56. Physical applications of anomalies, 'T Hooft's UV-IR anomaly matching conditions, anomaly cancellation\u003cbr\u003e 57. The Froissart Unitarity Bound and the Heisenberg Model\u003cbr\u003e 58. The operator product expansion, renormalization of composite operators and anomalous dimension matrices\u003cbr\u003e 59. Manipulating loop amplitudes\u003cbr\u003e 60. Analyzing the result for amplitudes\u003cbr\u003e 61. Representations and symmetries for loop amplitudes\u003cbr\u003e 62. The Wilsonian effective action, effective field theory and applications\u003cbr\u003e 63. Kadanoff blocking and the renormalization group\u003cbr\u003e 64. Lattice field theory\u003cbr\u003e 65. The Higgs Mechanism\u003cbr\u003e 66. Renormalization of spontaneously broken gauge theories I\u003cbr\u003e 67. Renormalization of spontaneously broken gauge theories II\u003cbr\u003e 68. Pseudo-Goldstone bosons, nonlinear sigma model and Chiral perturbation theory\u003cbr\u003e 69. The background field method\u003cbr\u003e 70. Finite temperature quantum field theory I\u003cbr\u003e 71. Finite temperature quantum field theory II\u003cbr\u003e 72. Finite temperature quantum field theory III.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical physics [\u003ca title=\"See our other books on Mathematical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20physics%20%5BPHU%5D%22\"\u003ePHU\u003c\/a\u003e], Quantum physics [\u003ca title=\"See our other books on Quantum physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Quantum%20physics%20%5Bquantum%20mechanics%20\u0026amp;%20quantum%20field%20theory%5D%20%5BPHQ%5D%22\"\u003equantum mechanics \u0026amp; quantum field theory PHQ\u003c\/a\u003e], Particle \u0026amp; high-energy physics [\u003ca title=\"See our other books on Particle \u0026amp; high-energy physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Particle%20\u0026amp;%20high-energy%20physics%20%5BPHP%5D%22\"\u003ePHP\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46002054037784,"sku":"9781108493994","price":54.37,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781108493994i_ff92e886-b464-4f56-bebb-a66d5ddc7463.jpg?v=1696706774","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/introduction-to-quantum-field-theory-hardback-9781108493994","provider":"Freshly Printed Books","version":"1.0","type":"link"}