Rudolf Peierls' 1952 paper on commutation laws of relativistic field theories

E569216

quantum field theory paper scientific paper

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.

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All labels observed (1)

Label	Occurrences
Rudolf Peierls' 1952 paper on commutation laws of relativistic field theories canonical	1

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 ⓘ

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Peierls bracket → historicalPublication → Rudolf Peierls' 1952 paper on commutation laws of relativistic field theories ⓘ