A Note on the Existence of Equal-Time Correlators

We study the conditions under which momentum-space equal-time correlators of scalar fields are finite in flat space. We identify cases where these correlators can be divergent even after renormalization, and we provide sufficient criteria for their existence. Concrete examples are discussed, including the well-known λϕ4 model, composite operators, and effective field theories.

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Publication Details

Journal
Universe
Published
2026-01-27
DOI
https://doi.org/10.3390/universe12020035
Primary Topic
Black Holes and Theoretical Physics
Type
article
Field-Weighted Citation Impact
0.00
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article

A Note on the Existence of Equal-Time Correlators

Bruno Bucciotti
Universe
Black Holes and Theoretical Physics
article

A Note on the Existence of Equal-Time Correlators

Bruno Bucciotti
article en

Abstract

We study the conditions under which momentum-space equal-time correlators of scalar fields are finite in flat space. We identify cases where these correlators can be divergent even after renormalization, and we provide sufficient criteria for their existence. Concrete examples are discussed, including the well-known λϕ4 model, composite operators, and effective field theories.

UniverseVol. 12(2)
Scuola Normale Superiore (IT), Istituto Nazionale di Fisica Nucleare, Sezione di Pisa (IT)
Reduced inequalities
Openalex Percentile: Top 73%
Black Holes and Theoretical Physics
DOIOpen Access PDFOpenAlex
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A Note on the Existence of Equal-Time Correlators — Bruno Bucciotti · Universe (2026) | TGRS Research Map | TGRS