2020/12/31 by Anshuman Dey, Mikhail Goykhman, Michael Smolkin
Physics and Astronomy · #Black Holes and Theoretical Physics #Cauchy stress tensor #Composite number #Cosmology and Gravitation Theories #Field (mathematics) #Massless particle #Noncommutative and Quantum Gravity Theories #Order (exchange) #Renormalization #Renormalization group #Tensor (intrinsic definition) #hep-th
paper · pdf · doi:10.1007/jhep06(2021)006
v2: references added, version accepted to JHEP
openalex created_date 2021/01/05 · arxiv created 2021/05/24 · openalex publication_date 2021/06/01 · arxiv updated 2021/06/07 · openalex updated_date 2026/08/05
A bstract We study perturbative renormalization of the composite operators in the TT <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>T</mml:mi> <mml:mover> <mml:mi>T</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> -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].