Rudolf Peierls' 1952 paper on commutation laws of relativistic field theories
E569216
Rudolf Peierls' 1952 paper on commutation laws of relativistic field theories is the foundational work that introduced the Peierls bracket, providing a covariant formulation of commutation relations in quantum field theory.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Rudolf Peierls' 1952 paper on commutation laws of relativistic field theories canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T6111241 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Rudolf Peierls' 1952 paper on commutation laws of relativistic field theories Context triple: [Peierls bracket, historicalPublication, Rudolf Peierls' 1952 paper on commutation laws of relativistic field theories]
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A.
Dirac 1931 paper on quantized singularities in the electromagnetic field
The Dirac 1931 paper on quantized singularities in the electromagnetic field is a landmark theoretical physics work in which Paul Dirac introduced the concept of magnetic monopoles and showed how their existence would imply the quantization of electric charge.
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B.
On the Interaction of Elementary Particles I
"On the Interaction of Elementary Particles I" is a seminal theoretical physics paper by Hideki Yukawa that introduced the meson theory of nuclear forces, laying the groundwork for modern particle physics.
-
C.
Einstein–Rosen 1935 paper
The Einstein–Rosen 1935 paper is a seminal work by Albert Einstein and Nathan Rosen that introduced the concept of a "bridge" in spacetime, later known as a wormhole, in the context of general relativity.
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D.
Dyson’s proof of equivalence of Feynman and Schwinger–Tomonaga formulations of QED
Dyson’s proof of equivalence of Feynman and Schwinger–Tomonaga formulations of QED is a landmark theoretical result that rigorously demonstrated the mathematical consistency and mutual compatibility of different approaches to quantum electrodynamics.
-
E.
Fermi theory of beta decay
The Fermi theory of beta decay is Enrico Fermi’s pioneering quantum field theory model that explains beta decay as a weak interaction process mediated by a four-fermion contact interaction, laying the groundwork for modern weak interaction theory.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Rudolf Peierls' 1952 paper on commutation laws of relativistic field theories Target entity description: Rudolf Peierls' 1952 paper on commutation laws of relativistic field theories is the foundational work that introduced the Peierls bracket, providing a covariant formulation of commutation relations in quantum field theory.
-
A.
Dirac 1931 paper on quantized singularities in the electromagnetic field
The Dirac 1931 paper on quantized singularities in the electromagnetic field is a landmark theoretical physics work in which Paul Dirac introduced the concept of magnetic monopoles and showed how their existence would imply the quantization of electric charge.
-
B.
On the Interaction of Elementary Particles I
"On the Interaction of Elementary Particles I" is a seminal theoretical physics paper by Hideki Yukawa that introduced the meson theory of nuclear forces, laying the groundwork for modern particle physics.
-
C.
Einstein–Rosen 1935 paper
The Einstein–Rosen 1935 paper is a seminal work by Albert Einstein and Nathan Rosen that introduced the concept of a "bridge" in spacetime, later known as a wormhole, in the context of general relativity.
-
D.
Dyson’s proof of equivalence of Feynman and Schwinger–Tomonaga formulations of QED
Dyson’s proof of equivalence of Feynman and Schwinger–Tomonaga formulations of QED is a landmark theoretical result that rigorously demonstrated the mathematical consistency and mutual compatibility of different approaches to quantum electrodynamics.
-
E.
Fermi theory of beta decay
The Fermi theory of beta decay is Enrico Fermi’s pioneering quantum field theory model that explains beta decay as a weak interaction process mediated by a four-fermion contact interaction, laying the groundwork for modern weak interaction theory.
- F. None of above. chosen
Statements (38)
| Predicate | Object |
|---|---|
| instanceOf |
quantum field theory paper
ⓘ
scientific paper ⓘ |
| aim | to formulate commutation relations without choosing a preferred time coordinate ⓘ |
| approach |
Lagrangian-based
ⓘ
covariant ⓘ |
| author | Rudolf Peierls NERFINISHED ⓘ |
| context | postwar development of relativistic quantum field theory ⓘ |
| contribution |
defined brackets using advanced and retarded Green functions
ⓘ
formulated commutation relations directly in terms of the action functional ⓘ provided a covariant formulation of commutation relations in quantum field theory ⓘ related classical Poisson brackets to quantum commutators in a covariant way ⓘ showed how causality can be encoded in commutation relations ⓘ |
| defines | Peierls bracket as a covariant analog of the Poisson bracket ⓘ |
| field |
quantum field theory
ⓘ
relativistic field theory ⓘ theoretical physics ⓘ |
| historicalSignificance |
early rigorous treatment of causality in quantum field commutators
ⓘ
foundational work for covariant quantization techniques ⓘ |
| influenceOn |
Peierls–DeWitt bracket formalism
NERFINISHED
ⓘ
algebraic quantum field theory NERFINISHED ⓘ covariant phase space methods ⓘ modern formulations of quantum field theory on curved spacetime ⓘ |
| introducedConcept | Peierls bracket NERFINISHED ⓘ |
| language | English ⓘ |
| mainTopic |
Peierls bracket
NERFINISHED
ⓘ
commutation laws in relativistic field theories ⓘ covariant commutation relations ⓘ |
| propertyShown |
Peierls bracket is antisymmetric
ⓘ
Peierls bracket reduces to the canonical Poisson bracket in appropriate limits ⓘ Peierls bracket satisfies the Jacobi identity under suitable conditions NERFINISHED ⓘ |
| publicationYear | 1952 ⓘ |
| relatesTo |
Poisson bracket
ⓘ
canonical quantization ⓘ commutator in quantum mechanics ⓘ |
| usesConcept |
Green functions
ⓘ
action principle ⓘ advanced Green function ⓘ retarded Green function ⓘ |
How these facts were elicited
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Subject: Rudolf Peierls' 1952 paper on commutation laws of relativistic field theories Description of subject: Rudolf Peierls' 1952 paper on commutation laws of relativistic field theories is the foundational work that introduced the Peierls bracket, providing a covariant formulation of commutation relations in quantum field theory.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.
Peierls bracket
→
historicalPublication
→
Rudolf Peierls' 1952 paper on commutation laws of relativistic field theories
ⓘ