Perturbative renormalization of the $$ \mathrm{T}\overline{\mathrm{T}} $$-deformed free massive Dirac fermion
A bstract In this paper we explicitly carry out the perturbative renormalization of the $$ T\overline{T} $$ T T ¯ -deformed free massive Dirac fermion in two dimensions up to second order in the coupling constant. This is done by computing the two-to-two S -matrix using the LSZ reduction formula and...
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| Published in | The journal of high energy physics Vol. 2021; no. 12 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
01.12.2021
|
| Online Access | Get full text |
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| Summary: | A
bstract
In this paper we explicitly carry out the perturbative renormalization of the
$$ T\overline{T} $$
T
T
¯
-deformed free massive Dirac fermion in two dimensions up to second order in the coupling constant. This is done by computing the two-to-two
S
-matrix using the LSZ reduction formula and canceling out the divergences by introducing counterterms. We demonstrate that the renormalized Lagrangian is unambiguously determined by demanding that it gives the correct
S
-matrix of a
$$ T\overline{T} $$
T
T
¯
-deformed integrable field theory. Remarkably, the renormalized Lagrangian is qualitatively very different from its classical counterpart. |
|---|---|
| ISSN: | 1029-8479 1029-8479 |
| DOI: | 10.1007/JHEP12(2021)200 |