REVIEW 2 cited by
Correlation functions of scalar field theories from homotopy algebras
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
abstract
We present expressions for correlation functions of scalar field theories in perturbation theory using quantum $A_\infty$ algebras. Our expressions are highly explicit and can be used for theories both in Euclidean space and in Minkowski space including quantum mechanics. Correlation functions at a given order of perturbation theory can be calculated algebraically without using canonical quantization or the path integral, and we demonstrate it explicitly for $\varphi^3$ theory. We show that the Schwinger-Dyson equations are satisfied as an immediate consequence of the form of the expressions based on quantum $A_\infty$ algebras.
Forward citations
Cited by 2 Pith papers
-
The BEF Symplectic Form: A Lagrangian Perspective
The BEF symplectic form is derived from L∞-Lagrangians via covariant phase space methods and coincides with the Barnich-Brandt form for second-order equations of motion.
-
Universal quadratic field equations via homotopy algebras
The bar-cobar construction turns the equations of motion of any homotopy-algebra gauge theory into universal quadratic Maurer-Cartan equations, with solutions equivalent to the original theory.
Discussion (0). Continue with ORCID to comment.