Euclidean quantum field theory

E9113
mathematical physics framework quantum field theory theoretical physics formalism

Euclidean quantum field theory is a formulation of quantum field theory in imaginary (Euclidean) time that enables rigorous mathematical treatment and path-integral representations closely connected to statistical mechanics.

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All labels observed (5)

Label Occurrences
Euclidean quantum field theory canonical 4
Euclidean path integral 2
Wick rotation 2

Statements (48)

Predicate Object
instanceOf mathematical physics framework ⓘ
quantum field theory ⓘ
theoretical physics formalism ⓘ
appliesTo fermionic field theories ⓘ
gauge theories ⓘ
scalar field theories ⓘ
basedOn Wick rotation ⓘ
connectedTo classical statistical field theory ⓘ
constructive quantum field theory ⓘ
critical phenomena ⓘ
functional analysis ⓘ
lattice gauge theory ⓘ
measure theory ⓘ
probability theory ⓘ
renormalization group ⓘ
enables connection to statistical mechanics ⓘ
rigorous path integral formulation ⓘ
use of functional integration techniques ⓘ
formalizedBy Osterwalder–Schrader axioms ⓘ
surface form: Osterwalder–Schrader reconstruction theorem

axiomatic approaches ⓘ
hasHistoricalDevelopment mid 20th century ⓘ
hasKeyConcept Euclidean Green’s functions ⓘ
Euclidean action ⓘ
Euclidean correlation functions ⓘ
Osterwalder–Schrader axioms ⓘ
Schwinger functions ⓘ
analytic continuation ⓘ
functional integral ⓘ
lattice regularization ⓘ
reflection positivity ⓘ
hasKeyProperty amenable to constructive methods ⓘ
close analogy with classical statistical mechanics ⓘ
equivalence to Minkowski theory under suitable conditions ⓘ
rotational invariance in Euclidean space ⓘ
inspiredBy work of Julian Schwinger ⓘ
work of Konrad Osterwalder ⓘ
work of Kurt Symanzik ⓘ
work of Robert Schrader ⓘ
relatedTo Minkowski space-time ⓘ
surface form: Minkowski quantum field theory
usedIn finite-temperature field theory ⓘ
lattice QCD ⓘ
non-perturbative studies of quantum field theory ⓘ
stochastic quantization ⓘ
uses Euclidean propagators ⓘ
Euclidean signature metric ⓘ
Gaussian measures on function spaces ⓘ
Schwinger functions ⓘ
surface form: Schwinger functionals

imaginary time ⓘ

Referenced by (10)

Full triples — surface form annotated when it differs from this entity's canonical label.

Feynman–Kac formula → usedIn → Euclidean quantum field theory ⓘ
Feynman path integral → usedFor → Euclidean quantum field theory ⓘ
Feynman path integral → relatedTo → Euclidean quantum field theory ⓘ
this entity surface form: Wick rotation
Feynman path integral → relatedTo → Euclidean quantum field theory ⓘ
this entity surface form: Euclidean path integral
Schwinger functions → relatedTo → Euclidean quantum field theory ⓘ
Schwinger functions → relatedTo → Euclidean quantum field theory ⓘ
this entity surface form: Wick rotation
Schwinger functions → usedIn → Euclidean quantum field theory ⓘ
this entity surface form: statistical field theory
Osterwalder–Schrader axioms → field → Euclidean quantum field theory ⓘ
Osterwalder–Schrader axioms → appliesTo → Euclidean quantum field theory ⓘ
this entity surface form: Euclidean quantum field theories
Osterwalder–Schrader axioms → formalism → Euclidean quantum field theory ⓘ
this entity surface form: Euclidean path integral