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 inThe journal of high energy physics Vol. 2021; no. 12
Main Authors Dey, Anshuman, Fortinsky, Aryeh
Format Journal Article
LanguageEnglish
Published 01.12.2021
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Abstract 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.
AbstractList 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.
ArticleNumber 200
Author Fortinsky, Aryeh
Dey, Anshuman
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CitedBy_id crossref_primary_10_1007_JHEP04_2023_077
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crossref_primary_10_1103_PhysRevD_109_065016
crossref_primary_10_1103_PhysRevD_105_106025
crossref_primary_10_1007_s11433_022_2049_1
crossref_primary_10_21468_SciPostPhys_13_2_038
Cites_doi 10.1016/j.nuclphysb.2004.11.041
10.1007/JHEP09(2012)133
10.1103/PhysRevLett.111.062006
10.1007/JHEP02(2019)085
10.1016/j.nuclphysb.2018.12.003
10.1016/0370-2693(77)90707-9
10.1007/JHEP10(2018)186
10.1088/1572-9494/abe4c9
10.1103/PhysRevD.18.1275
10.1103/PhysRevD.17.2134
10.1007/s11433-021-1741-1
10.1007/JHEP01(2019)086
10.1007/JHEP04(2021)187
10.1016/0003-4916(79)90391-9
10.1016/j.nuclphysb.2018.05.005
10.1007/JHEP04(2018)010
10.1007/JHEP09(2017)136
10.1007/JHEP10(2016)112
10.1103/PhysRevD.102.065009
10.1016/j.nuclphysb.2016.12.014
10.1007/JHEP08(2018)106
10.1007/JHEP07(2018)027
10.1007/JHEP02(2018)114
10.1007/JHEP07(2013)071
10.1007/JHEP07(2017)122
10.1007/JHEP09(2021)061
10.1007/JHEP03(2019)004
10.1103/PhysRevD.102.026023
10.1007/JHEP12(2017)155
10.1016/j.nuclphysb.2018.08.011
10.1007/JHEP06(2018)149
10.1088/1751-8113/49/32/323003
10.1016/0550-3213(84)90287-6
10.1007/JHEP12(2019)160
10.1007/JHEP11(2018)007
10.1007/JHEP05(2019)112
10.1007/JHEP06(2021)006
10.1103/PhysRevD.101.026007
10.1088/1751-8121/ab99ee
10.1103/RevModPhys.55.583
10.1007/JHEP02(2021)121
10.1016/0550-3213(80)90196-0
10.1007/JHEP09(2018)158
10.1007/JHEP04(2020)127
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References 17472_CR30
17472_CR35
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17472_CR39
17472_CR1
17472_CR38
17472_CR37
17472_CR3
17472_CR14
17472_CR36
17472_CR19
17472_CR18
M Caselle (17472_CR29) 2013; 07
17472_CR9
17472_CR6
P Caputa (17472_CR11) 2019; 05
17472_CR5
17472_CR8
17472_CR7
T Hartman (17472_CR10) 2019; 03
17472_CR20
17472_CR42
17472_CR41
17472_CR40
S Khoeini-Moghaddam (17472_CR13) 2021; 02
S Chakraborty (17472_CR17) 2018; 935
17472_CR24
17472_CR46
17472_CR23
17472_CR45
17472_CR22
17472_CR44
17472_CR21
17472_CR43
17472_CR28
17472_CR26
S Dubovsky (17472_CR27) 2012; 09
17472_CR48
17472_CR25
17472_CR47
FA Smirnov (17472_CR4) 2017; 915
A Giveon (17472_CR15) 2017; 12
M Asrat (17472_CR16) 2018; 932
AB Zamolodchikov (17472_CR31) 1979; 120
References_xml – ident: 17472_CR26
  doi: 10.1016/j.nuclphysb.2004.11.041
– volume: 09
  start-page: 133
  year: 2012
  ident: 17472_CR27
  publication-title: JHEP
  doi: 10.1007/JHEP09(2012)133
  contributor:
    fullname: S Dubovsky
– ident: 17472_CR9
– ident: 17472_CR28
  doi: 10.1103/PhysRevLett.111.062006
– ident: 17472_CR40
  doi: 10.1007/JHEP02(2019)085
– ident: 17472_CR3
– ident: 17472_CR18
  doi: 10.1016/j.nuclphysb.2018.12.003
– ident: 17472_CR32
  doi: 10.1016/0370-2693(77)90707-9
– ident: 17472_CR22
  doi: 10.1007/JHEP10(2018)186
– ident: 17472_CR25
  doi: 10.1088/1572-9494/abe4c9
– ident: 17472_CR35
  doi: 10.1103/PhysRevD.18.1275
– ident: 17472_CR33
  doi: 10.1103/PhysRevD.17.2134
– ident: 17472_CR44
  doi: 10.1007/s11433-021-1741-1
– ident: 17472_CR24
  doi: 10.1007/JHEP01(2019)086
– ident: 17472_CR45
  doi: 10.1007/JHEP04(2021)187
– volume: 120
  start-page: 253
  year: 1979
  ident: 17472_CR31
  publication-title: Ann. Phys.
  doi: 10.1016/0003-4916(79)90391-9
  contributor:
    fullname: AB Zamolodchikov
– volume: 932
  start-page: 241
  year: 2018
  ident: 17472_CR16
  publication-title: Nucl. Phys. B
  doi: 10.1016/j.nuclphysb.2018.05.005
  contributor:
    fullname: M Asrat
– ident: 17472_CR7
  doi: 10.1007/JHEP04(2018)010
– ident: 17472_CR38
  doi: 10.1007/JHEP09(2017)136
– ident: 17472_CR5
  doi: 10.1007/JHEP10(2016)112
– ident: 17472_CR30
  doi: 10.1103/PhysRevD.102.065009
– volume: 915
  start-page: 363
  year: 2017
  ident: 17472_CR4
  publication-title: Nucl. Phys. B
  doi: 10.1016/j.nuclphysb.2016.12.014
  contributor:
    fullname: FA Smirnov
– ident: 17472_CR23
  doi: 10.1007/JHEP08(2018)106
– ident: 17472_CR36
– ident: 17472_CR8
  doi: 10.1007/JHEP07(2018)027
– ident: 17472_CR20
  doi: 10.1007/JHEP02(2018)114
– volume: 07
  start-page: 071
  year: 2013
  ident: 17472_CR29
  publication-title: JHEP
  doi: 10.1007/JHEP07(2013)071
  contributor:
    fullname: M Caselle
– ident: 17472_CR14
  doi: 10.1007/JHEP07(2017)122
– ident: 17472_CR19
– ident: 17472_CR43
  doi: 10.1007/JHEP09(2021)061
– volume: 03
  start-page: 004
  year: 2019
  ident: 17472_CR10
  publication-title: JHEP
  doi: 10.1007/JHEP03(2019)004
  contributor:
    fullname: T Hartman
– ident: 17472_CR42
  doi: 10.1103/PhysRevD.102.026023
– volume: 12
  start-page: 155
  year: 2017
  ident: 17472_CR15
  publication-title: JHEP
  doi: 10.1007/JHEP12(2017)155
  contributor:
    fullname: A Giveon
– volume: 935
  start-page: 290
  year: 2018
  ident: 17472_CR17
  publication-title: Nucl. Phys. B
  doi: 10.1016/j.nuclphysb.2018.08.011
  contributor:
    fullname: S Chakraborty
– ident: 17472_CR6
  doi: 10.1007/JHEP06(2018)149
– ident: 17472_CR37
  doi: 10.1088/1751-8113/49/32/323003
– ident: 17472_CR2
  doi: 10.1016/0550-3213(84)90287-6
– ident: 17472_CR47
  doi: 10.1007/JHEP12(2019)160
– ident: 17472_CR41
  doi: 10.1007/JHEP11(2018)007
– volume: 05
  start-page: 112
  year: 2019
  ident: 17472_CR11
  publication-title: JHEP
  doi: 10.1007/JHEP05(2019)112
  contributor:
    fullname: P Caputa
– ident: 17472_CR46
  doi: 10.1007/JHEP06(2021)006
– ident: 17472_CR12
  doi: 10.1103/PhysRevD.101.026007
– ident: 17472_CR21
  doi: 10.1088/1751-8121/ab99ee
– ident: 17472_CR1
  doi: 10.1103/RevModPhys.55.583
– volume: 02
  start-page: 121
  year: 2021
  ident: 17472_CR13
  publication-title: JHEP
  doi: 10.1007/JHEP02(2021)121
  contributor:
    fullname: S Khoeini-Moghaddam
– ident: 17472_CR34
  doi: 10.1016/0550-3213(80)90196-0
– ident: 17472_CR39
  doi: 10.1007/JHEP09(2018)158
– ident: 17472_CR48
  doi: 10.1007/JHEP04(2020)127
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