Quantum Field Theory
Abstract
This book is a modern pedagogic introduction to the ideas and techniques of quantum field theory. After a brief overview of particle physics and a survey of relativistic wave equations and Lagrangian methods, the quantum theory of scalar and spinor fields, and then of gauge fields, is developed. The emphasis throughout is on functional methods, which have played a large part in modern field theory. The book concludes with a brief survey of 'topological' objects in field theory and, new to this edition, a chapter devoted to supersymmetry.
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When ξ is positive, equation (10) is equivalent to the Proca equation.
“When ξ is positive, this equation is equivalent to the Proca equation [34-36] and m A ≡ ξ 1 / 2 can be interpreted as the rest mass of photons.”
From Electrodynamics on cosmological scales (2016) · cites this paper as [34]
A photon mass term in the electromagnetic field equation can naturally arise from spontaneous symmetry breaking and the Higgs mechanism in quantum field theory, where photons acquire mass by eating massless Goldstone bosons.
“This type of electromagnetic field equations can naturally arise from spontaneous symmetry breaking and the Higgs mechanism in quantum field theory, where photons acquire a mass by eating massless Goldstone bosons.”
From Electrodynamics on cosmological scales (2016) · cites this paper as [34]
An effective ξ A_a A^a term can naturally arise from spontaneous symmetry breaking by the Higgs mechanism if the electromagnetic field is coupled to a complex scalar field.
“Although ξ can just be a fundamental constant in nature, an effective ξA a term can naturally arise from spontaneous symmetry breaking by the Higgs mechanism if the electromagnetic field is coupled to a complex scalar field [33, 34].”
From Electrodynamics on cosmological scales (2016) · cites this paper as [34]
m_A ≡ ξ^{1/2} can be interpreted as the rest mass of photons.
“When ξ is positive, this equation is equivalent to the Proca equation [34-36] and m A ≡ ξ 1 / 2 can be interpreted as the rest mass of photons.”
From Electrodynamics on cosmological scales (2016) · cites this paper as [34]
In the unitary gauge, φ_2 = 0, so the massless Goldstone bosons go away by a gauge transformation.
“Hence, in this unitary gauge [33, 34], we have φ 2 = 0. That is, the massless Goldstone bosons go away by a gauge transformation.”
From Electrodynamics on cosmological scales (2016) · cites this paper as [34]
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- Authors
- Ryder, L. H.
- Affiliations
- University of Kent (GB)
- Corresponding author
- Ryder, Lewis H.
- ORCID
- Ryder, Lewis H.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 1996-06-06
- OpenAlex
- W3143815958
- Cited by
- 1,281
- References
- 0
- Citations by year
- 2026: 14 · 2025: 42 · 2024: 22 · 2023: 33 · 2022: 26 · 2021: 39 · 2020: 73 · 2019: 64 · 2018: 34 · 2017: 38 · 2016: 41 · 2015: 36 · 2014: 38 · 2013: 38 · 2012: 58
- FWCI
- 14.21
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- Cambridge University Press eBooks (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Quantum Chromodynamics and Particle Interactions
- Keywords
- quantum field theory, particle physics, relativistic wave equations, Lagrangian method, scalar field, spinor fields, gauge fields, functional methods, topological objects, supersymmetry
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