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Introduction to Quantum Field Theory

Introduction to Quantum Field Theory

textbook
  • Publication planned for: December 2019
  • availability: Not yet published - available from December 2019
  • format: Hardback
  • isbn: 9781108493994

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  • Quantum 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.

    • Includes end-of-chapter exercises to help students test their understanding
    • Each chapter finishes with an 'important concepts' section, highlighting take away messages
    • Can be used as a follow-on text to allow a smoother transition for the student, while also being self-contained and useable as a standalone text
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    Product details

    • Publication planned for: December 2019
    • format: Hardback
    • isbn: 9781108493994
    • dimensions: 246 x 189 mm
    • availability: Not yet published - available from December 2019
  • Table of Contents

    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.

  • Author

    Horatiu Nastase, Universidade Estadual Paulista, São Paulo
    Horaƫiu Năstase is a Researcher at the Institute for Theoretical Physics at the Universidade Estadual Paulista, São Paulo. To date, his career has spanned four continents. As an undergraduate he studied at the Universitatea din București and Københavns Universitet. He later completed his Ph.D. at the State University of New York, Stony Brook, before moving to the Institute for Advanced Study, Princeton University, New Jersey, where his collaboration with David Berenstein and Juan Maldacena defined the pp-wave correspondence. He has also held research and teaching positions at Brown University, Rhode Island and the Tokyo Institute of Technology. His other books include Introduction to the AdS/CFT Correspondence (Cambridge, 2015), String Theory Methods for Condensed Matter Physics (Cambridge, 2017) and Classical Field Theory (Cambridge, 2019).

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