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Introduction to Quantum Field Theory by Horatiu Nastase (2019, Hardcover)

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Introduction to Quantum Field Theory, Hardcover by Nastase, Horatiu; Ambjorn, Jan (CON); Petersen, Jens Lyng (CON), ISBN 1108493998, ISBN-13 9781108493994, Brand New, Free shipping in the US This graduate level textbook provides a comprehensive introduction to quantum field theory. Equal emphasis is given to operator and path integral formalisms, and modern research, advanced topics and numerous quantum fields are covered in detail. This is an invaluable resource for students and researchers of quantum field theory.

About this product

Product Identifiers

PublisherCambridge University Press

ISBN-101108493998

ISBN-139781108493994

eBay Product ID (ePID)6038795684

Product Key Features

Number of Pages730 Pages

LanguageEnglish

Publication NameIntroduction to Quantum Field Theory

SubjectPhysics / Quantum Theory, Physics / Mathematical & Computational

Publication Year2019

TypeTextbook

Subject AreaScience

AuthorHoratiu Nastase

FormatHardcover

Dimensions

Item Height1.5 in

Item Weight60.7 Oz

Item Length10 in

Item Width7.7 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN2019-006491

Dewey Edition23

IllustratedYes

Dewey Decimal530.14/3

Table Of Content1. Review of classical field theory; 2. Quantum mechanics; 3. Canonical quantization of scalar fields; 4. Propagators for free scalar fields; 5. Interaction picture and wick theorem for 4 in operator formalism; 6. Feynman rules for 4 from the operator formalism; 7. The driven (forced) harmonic oscillator; 8. Euclidean formulation and finite temperature field theory; 9. The Feynman path integral for a scalar field; 10. Wick theorem for path integrals and Feynman rules part I; 11. Feynman rules in X-Space and P-Space; 12. Quantization of the Dirac field and Fermionic path integral; 13. Wick theorem, Gaussian integration and Feynman rules for fermions; 14. Spin sums, Dirac field bilinears and C,P,T symmetries for fermions; 15. Dirac quantization of constrained systems; 16. Quantization of gauge fields, their path integral, and the photon propagator; 17. Generating functional for connected Green's Functions and the effective action (1PI Diagrams); 18. Dyson-Schwinger equations and ward identities; 19. Cross sections and the S-Matrix; 20. The S-matrix and Feynman diagrams; 21. The optical theorem and the cutting rules; 22. Unitarity and the largest time equation; 23. QED; 24. Nonrelativistic processes; 25. E+E L¯ L unpolarized cross section; 26. E+E L¯ L polarized cross section; 27. (Unpolarized) Compton scattering; 28. The Helicity Spinor formalism; 29. Gluon amplitudes, the Parke-Taylor formula and the BCFW construction; 30. Review of path integral and operator formalism and the Feynman diagram expansion; 31. One-loop determinants, vacuum energy and zeta function regularization; 32. One-loop divergences for scalars; 33. Regularization, definitions; 34. One-loop renormalization for scalars and counterterms in dimensional regularization; 35. Renormalization conditions and the renormalization group; 36. One-loop renormalizability in QED; 37. Physical applications of one-loop results 1. Vacuum Polarization; 38. Physical applications of one-loop results 2. Anomalous magnetic moment and lamb shift; 39. Two-loop example and multiloop generalization; 40. The LSZ reduction formula; 41. The Coleman-Weinberg mechanism for one-loop potential; 42. Quantization of gauge theories I; 43. Quantization of gauge theories II; 44. One-loop renormalizability of gauge theories; 45. Asymptotic freedom. BRST symmetry; 46. Lee-Zinn-Justin identities and the structure of divergences (formal renormalization of gauge theories); 47. BRST quantization; 48. QCD; 49. Parton evolution and Altarelli-Parisi equation; 50. The Wilson Loop and the Makeenko-Migdal Loop equation. Order parameters; 'T Hooft Loop; 51. IR divergences in QED; 52. IR safety and renormalization in QCD; General IR-factorized form of amplitudes; 53. Factorization and the Kinoshita-Lee-Nauenberg theorem; 54. Perturbatives anomalies; 55. Anomalies in path integrals - the Fujikawa method; 56. Physical applications of anomalies, 'T Hooft's UV-IR anomaly matching conditions, anomaly cancellation; 57. The Froissart Unitarity Bound and the Heisenberg Model; 58. The operator product expansion, renormalization of composite operators and anomalous dimension matrices; 59. Manipulating loop amplitudes; 60. Analyzing the result for amplitudes; 61. Representations and symmetries for loop amplitudes; 62. The Wilsonian effective action, effective field theory and applications; 63. Kadanoff blocking and the renormalization group; 64. Lattice field theory; 65. The Higgs Mechanism; 66. Renormalization of spontaneously broken gauge theories I; 67. Renormalization of spontaneously broken gauge theories II; 68. Pseudo-Goldstone bosons, nonlinear sigma model and Chiral perturbation theory; 69. The background field method; 70. Finite temperature quantum field theory I; 71. Finite temperature quantum field theory II; 72. Finite temperature quantum field theory III.

SynopsisQuantum 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., This graduate level textbook provides a comprehensive introduction to quantum field theory. Equal emphasis is given to operator and path integral formalisms, and modern research, advanced topics and numerous quantum fields are covered in detail. This is an invaluable resource for students and researchers of quantum field theory.

LC Classification NumberQC174.45.N353 2020