Composite operators in TT¯ -deformed free QFTs

Anshuman Dey; Mikhail Goykhman; Michael Smolkin

doi:10.1007/JHEP06(2021)006

Composite operators in TT¯ -deformed free QFTs

Anshuman Dey, Mikhail Goykhman^*, Michael Smolkin

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We study perturbative renormalization of the composite operators in the TT¯ -deformed two-dimensional free field theories. The pattern of renormalization for the stress-energy tensor is different in the massive and massless cases. While in the latter case the canonical stress tensor is not renormalized up to high order in the perturbative expansion, in the massive theory there are induced counterterms at linear order. For a massless theory our results match the general formula derived recently in [1].

Original language	English
Article number	6
Journal	Journal of High Energy Physics
Volume	2021
Issue number	6
DOIs	https://doi.org/10.1007/JHEP06(2021)006
State	Published - Jun 2021

Bibliographical note

Publisher Copyright:
© 2021, The Author(s).

Keywords

Conformal Field Theory
Field Theories in Lower Dimensions
Integrable Field Theories
Renormalization Regularization and Renormalons

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10.1007/JHEP06(2021)006

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abstract = "We study perturbative renormalization of the composite operators in the TT¯ -deformed two-dimensional free field theories. The pattern of renormalization for the stress-energy tensor is different in the massive and massless cases. While in the latter case the canonical stress tensor is not renormalized up to high order in the perturbative expansion, in the massive theory there are induced counterterms at linear order. For a massless theory our results match the general formula derived recently in [1].",

keywords = "Conformal Field Theory, Field Theories in Lower Dimensions, Integrable Field Theories, Renormalization Regularization and Renormalons",

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AU - Goykhman, Mikhail

AU - Smolkin, Michael

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N2 - We study perturbative renormalization of the composite operators in the TT¯ -deformed two-dimensional free field theories. The pattern of renormalization for the stress-energy tensor is different in the massive and massless cases. While in the latter case the canonical stress tensor is not renormalized up to high order in the perturbative expansion, in the massive theory there are induced counterterms at linear order. For a massless theory our results match the general formula derived recently in [1].

AB - We study perturbative renormalization of the composite operators in the TT¯ -deformed two-dimensional free field theories. The pattern of renormalization for the stress-energy tensor is different in the massive and massless cases. While in the latter case the canonical stress tensor is not renormalized up to high order in the perturbative expansion, in the massive theory there are induced counterterms at linear order. For a massless theory our results match the general formula derived recently in [1].

KW - Conformal Field Theory

KW - Field Theories in Lower Dimensions

KW - Integrable Field Theories

KW - Renormalization Regularization and Renormalons

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JO - Journal of High Energy Physics

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Composite operators in TT¯ -deformed free QFTs

Abstract

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Keywords

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