From Classical to Quantum Fields

By: Baulieu, LaurentContributor(s): Iliopoulos, John | Seneor, RolandLanguage: English Publication details: Oxford Oxford University Press 2017Description: xvii, 931pISBN: 9780198788409 (PB)Subject(s): Quantum field theory | Classical Quantum field theory Textbooks | Physics
Contents:
Relativistic invariance The electromagnetic field General relativity: a field theory of gravitation The physical states Relativistic wave equations Towards a relativistic quantum mechanics Functional integrals and probabilistic amplitudes Functional integrals and quantum mechanics: formal developments The Euclidean functional integrals Fermions and functional formalism Relativistic quantum fields Applications Geometry and quantum dynamics Broken symmetries Quantum field theory at higher orders A first glance at renormalisation and symmetry Renormalisation of Yang-Mills theory and BRST symmetry Some consequences of the renormalisation group Analyticity properties of Feynman diagrams Infrared singularities Coherent states and classical limit of quantum electrodynamics Quantum field theories with a large number of fields The existence of field theories beyond the perturbation expansion Fundamental interactions Beyond the standard model Supersymmetry, or the defense of scalars Tensor calculus Differential calculus Groups and lie algebras A collection of useful formulae Extract from Maxwell's A treatise on electricity and magnetism
Summary: Quantum Field Theory has become the universal language of most modern theoretical physics. This introductory textbook shows how this beautiful theory offers the correct mathematical framework to describe and understand the fundamental interactions of elementary particles.
Item type: BOOKS List(s) this item appears in: New Arrivals (30 June 2023)
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Relativistic invariance
The electromagnetic field
General relativity: a field theory of gravitation
The physical states
Relativistic wave equations
Towards a relativistic quantum mechanics
Functional integrals and probabilistic amplitudes
Functional integrals and quantum mechanics: formal developments
The Euclidean functional integrals
Fermions and functional formalism
Relativistic quantum fields
Applications
Geometry and quantum dynamics
Broken symmetries
Quantum field theory at higher orders
A first glance at renormalisation and symmetry
Renormalisation of Yang-Mills theory and BRST symmetry
Some consequences of the renormalisation group
Analyticity properties of Feynman diagrams
Infrared singularities
Coherent states and classical limit of quantum electrodynamics
Quantum field theories with a large number of fields
The existence of field theories beyond the perturbation expansion
Fundamental interactions
Beyond the standard model
Supersymmetry, or the defense of scalars
Tensor calculus
Differential calculus
Groups and lie algebras
A collection of useful formulae
Extract from Maxwell's A treatise on electricity and magnetism

Quantum Field Theory has become the universal language of most modern theoretical physics. This introductory textbook shows how this beautiful theory offers the correct mathematical framework to describe and understand the fundamental interactions of elementary particles.

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The Institute of Mathematical Sciences, Chennai, India

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