Quantum Field Theory and the Standard Model
Abstract
Providing a comprehensive introduction to quantum field theory, this textbook covers the development of particle physics from its foundations to the discovery of the Higgs boson. Its combination of clear physical explanations, with direct connections to experimental data, and mathematical rigor make the subject accessible to students with a wide variety of backgrounds and interests. Assuming only an undergraduate-level understanding of quantum mechanics, the book steadily develops the Standard Model and state-of-the-art calculation techniques. It includes multiple derivations of many important results, with modern methods such as effective field theory and the renormalization group playing a prominent role. Numerous worked examples and end-of-chapter problems enable students to reproduce classic results and to master quantum field theory as it is used today. Based on a course taught by the author over many years, this book is ideal for an introductory to advanced quantum field theory sequence or for independent study.
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There is no observational or experimental evidence for gauge invariance of electromagnetic fields in a curved spacetime with a nonvanishing Ricci curvature.
“We also remark that there is no observational or experimental evidence for gauge invariance of electromagnetic fields in a curved spacetime with a nonvanishing Ricci curvature.”
From Electrodynamics on cosmological scales (2016) · cites this paper as [48]
Cited by
Sorted by citations
Relativistic quantum information
Mann, R. B., & Ralph, T. C. (2012) · Classical and Quantum Gravity · doi:10.1088/0264-9381/29/22/220301 · Cited by 76 · see citing works
EPR Correlations Using Quaternion Spin
Sanctuary, B. (2024) · Quantum Reports · doi:10.3390/quantum6030026 · Cited by 18 · see citing works
Quaternion-Spin and Some Consequences
Sanctuary, B. (2023) · doi:10.20944/preprints202312.1277.v1 · Cited by 9 · see citing works
Electrodynamics on cosmological scales
Li, L.-X. (2016) · General Relativity and Gravitation · doi:10.1007/s10714-016-2028-3 · Cited by 5 · see citing works
- Authors
- Schwartz, M. D.
- Affiliations
- Harvard University (US)
- Corresponding author
- Schwartz, Matthew D.
- ORCID
- Schwartz, Matthew D.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 2013-12-15
- OpenAlex
- W1540440128
- Cited by
- 1,256
- References
- 0
- Citations by year
- 2026: 34 · 2025: 94 · 2024: 115 · 2023: 136 · 2022: 111 · 2021: 180 · 2020: 125 · 2019: 213 · 2018: 56 · 2017: 107 · 2016: 37 · 2015: 37 · 2014: 9 · 2012: 1
- FWCI
- 14.16
- 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 › 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
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Keywords
- quantum field theory, Standard Model, particle physics, Higgs boson, effective field theory, renormalization group, quantum electrodynamics, QCD, gauge theory, Feynman diagrams
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
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