deformation of the Ising model and its ultraviolet completion - INSPIRE

DataBETA

deformation of the Ising model and its ultraviolet completion

André LeClair
(
- Cornell U., Phys. Dept.
)

Jul 5, 2021

14 pages

Published in:

J.Stat.Mech. 2111 (2021) 113104

Published: Nov 8, 2021

e-Print:

2107.02230 [hep-th]

DOI:

10.1088/1742-5468/ac2a99

View in:

reference search15 citations

Citations per year

Abstract: (IOP)

Pure deformations of conformal field theories are generally asymptotically incomplete in the ultra-violet (UV) due to square-root singularities in the ground state energy on a cylinder of circumference R, such that the theory is ill-defined for distances shorter than some critical R *. In this article we show how a theory can be completed if one includes an infinite number of additional irrelevant perturbations. This is fully demonstrated in the case of the Ising model at c IR = 1/2 in the infra-red (IR), where we find two completions with central charges c UV = 3/2 and c UV = 7/10, the latter being the tri-critical Ising model. Both of these UV completions have supersymmetry which is broken in the renormalization group flow to low energies. We also consider multiple deformations of a free massless boson, where we cannot find a UV completion that is consistent with the c-theorem. For negative coupling g, which violates the c-theorem, in both cases we find c UV = −c IR as g → −∞. Finally we also study pure deformations of the off-critical Ising model.

Note:

14 pages, 2 figures

boson: massless
renormalization group: flow
energy: ground state
deformation: conformal
Ising model
perturbation
ultraviolet
singularity
supersymmetry: 1

References(27)

Figures(2)

Irreversibility of the flux of the renormalization group in a 2D field theory Pis’ma

Zamolodchikov A. B

- Zh.Eksp.Teor.Fiz. 43 (1986) 565

Critical phenomena for field theorists Understanding the Fundamental Constituents of Matter vol 14 Z Antonino (eds.)

Weinberg S

Expectation value of composite field T anti-T in two-dimensional quantum field theory

Alexander B. Zamolodchikov
(
- Bonn U.
)

e-Print:
- hep-th/0401146

On space of integrable quantum field theories

F.A. Smirnov
(
- Paris, LPTHE
)
,
A.B. Zamolodchikov
(
- Rutgers U., Piscataway and
- IITP, Moscow
)

- Nucl.Phys.B 915 (2017) 363-383,
- Nucl.Phys.B 915 (2017) 363-383
•
e-Print:
- 1608.05499
•
DOI:
- 10.1016/j.nuclphysb.2016.12.014

$T \bar{T}$ -deformed 2D Quantum Field Theories

Andrea Cavaglià
(
- INFN, Turin and
- Turin U.
)
,
Stefano Negro
(
- Ecole Normale Superieure and
- UPMC, Paris (main)
)
,
István M. Szécsényi
(
- Durham U., Dept. of Math.
)
,
Roberto Tateo
(
- INFN, Turin and
- Turin U.
)

- JHEP 10 (2016) 112
•
e-Print:
- 1608.05534
•
DOI:
- 10.1007/JHEP10(2016)112

Generalised Born-Infeld models, Lax operators and the $\mathrm{T}\overline{\mathrm{T}}$ perturbation

Riccardo Conti
(
- INFN, Turin and
- Turin U.
)
,
Leonardo Iannella
(
- INFN, Turin and
- Turin U.
)
,
Stefano Negro
(
- INFN, Turin and
- Turin U.
)
,
Roberto Tateo
(
- INFN, Turin and
- Turin U.
)

- JHEP 11 (2018) 007
•
e-Print:
- 1806.11515
•
DOI:
- 10.1007/JHEP11(2018)007

Integrability and renormalization under $T \bar T$

- Phys.Rev.D 102 (2020) 6, 065009
•
e-Print:
- 1909.02640
•
DOI:
- 10.1103/PhysRevD.102.065009

Asymptotic fragility, near AdS $_{2}$ holography and $T\overline{T}$

Sergei Dubovsky
(
- New York U., CCPP and
- Perimeter Inst. Theor. Phys.
)
,
Victor Gorbenko
(
- Stanford U., ITP
)
,
Mehrdad Mirbabayi
(
- Stanford U., ITP and
- ICTP, Trieste
)

- JHEP 09 (2017) 136
•
e-Print:
- 1706.06604
•
DOI:
- 10.1007/JHEP09(2017)136

$T\overline{T}$ partition function from topological gravity

- JHEP 09 (2018) 158
•
e-Print:
- 1805.07386
•
DOI:
- 10.1007/JHEP09(2018)158

The $T\overline{T}$ deformation of quantum field theory as random geometry

John Cardy
(
- UC, Berkeley and
- Unlisted, UK
)

- JHEP 10 (2018) 186
•
e-Print:
- 1801.06895
•
DOI:
- 10.1007/JHEP10(2018)186

The $\mathrm{T}\overline{\mathrm{T}}$ perturbation and its geometric interpretation

Riccardo Conti
(
- INFN, Turin and
- Turin U.
)
,
Stefano Negro
(
- YITP, Stony Brook
)
,
Roberto Tateo
(
- INFN, Turin and
- Turin U.
)

- JHEP 02 (2019) 085
•
e-Print:
- 1809.09593
•
DOI:
- 10.1007/JHEP02(2019)085

Moving the CFT into the bulk with $T\overline{T}$

Lauren McGough
(
- Princeton U.
)
,
Márk Mezei
(
- Princeton U., CTP
)
,
Herman Verlinde
(
- Princeton U., CTP and
- Princeton U.
)

- JHEP 04 (2018) 010
•
e-Print:
- 1611.03470
•
DOI:
- 10.1007/JHEP04(2018)010

Holography at finite cutoff with a $T^2$ deformation

- JHEP 03 (2019) 004
•
e-Print:
- 1807.11401
•
DOI:
- 10.1007/JHEP03(2019)004

$T\overline T$ Deformation and the Light-Cone Gauge

Sergey A. Frolov
(
- Hamilton Math. Inst., Dublin and
- Steklov Math. Inst., Moscow
)

- Proc.Steklov Inst.Math. 309 (2020) 1, 107-126
•
e-Print:
- 1905.07946
•
DOI:
- 10.1134/S0081543820030098

$T\bar{T}$ -deformation and Liouville gravity

Suguru Okumura
(
- Kyoto U.
)
,
Kentaroh Yoshida
(
- Kyoto U.
)

- Nucl.Phys.B 957 (2020) 115083
•
e-Print:
- 2003.14148
•
DOI:
- 10.1016/j.nuclphysb.2020.115083

A pedagogical review on solvable irrelevant deformations of 2D quantum field theory

Yunfeng Jiang
(
- CERN
)

- Commun.Theor.Phys. 73 (2021) 5, 057201
•
e-Print:
- 1904.13376
•
DOI:
- 10.1088/1572-9494/abe4c9

Thermodynamics of perturbations of some single particle field theories

André LeClair
(
- Cornell U., Phys. Dept.
)

- J.Phys.A 55 (2022) 18, 185401
•
e-Print:
- 2105.08184
•
DOI:
- 10.1088/1751-8121/ac331f

T $\overline{T}$ deformation in SCFTs and integrable supersymmetric theories

Stephen Ebert
(
- UCLA
)
,
Hao-Yu Sun
(
- UC, Berkeley and
- Texas U.
)
,
Zhengdi Sun
(
- UC, San Diego
)

- JHEP 09 (2021) 082
•
e-Print:
- 2011.07618
•
DOI:
- 10.1007/JHEP09(2021)082

Thermodynamic Bethe Ansatz in Relativistic Models. Scaling Three State Potts and Lee-yang Models

A.B. Zamolodchikov
(
- Moscow, ITEP
)

- Nucl.Phys.B 342 (1990) 695-720
•
DOI:
- 10.1016/0550-3213(90)90333-9

The Thermodynamics of purely elastic scattering theories and conformal perturbation theory

Timothy R. Klassen
(
- Chicago U., EFI and
- Chicago U.
)
,
Ezer Melzer
(
- Miami U.
)

- Nucl.Phys.B 350 (1991) 635-689
•
DOI:
- 10.1016/0550-3213(91)90159-U

Statistical Field Theory (An Introduction to Exactly Solved Models in Statistical Physics) (Oxford: Oxford University Press)

Mussardo G

Bosonic type S matrix, vacuum instability and CDD ambiguities

G. Mussardo
(
- Insubria U., Como and
- INFN, Trieste
)
,
P. Simon
(
- SISSA, Trieste
)

- Nucl.Phys.B 578 (2000) 527-551
•
e-Print:
- hep-th/9903072
•
DOI:
- 10.1016/S0550-3213(99)00806-8

Massless factorized scattering and sigma models with topological terms

- Nucl.Phys.B 379 (1992) 602-623
•
DOI:
- 10.1016/0550-3213(92)90136-Y

Massless flows, 2. The Exact S matrix approach

P. Fendley
(
- Boston U.
)
,
H. Saleur
(
- Southern California U.
)
,
Alexei B. Zamolodchikov
(
- Montpellier U.
)

- Int.J.Mod.Phys.A 8 (1993) 5751-5778
•
e-Print:
- hep-th/9304051
•
DOI:
- 10.1142/S0217751X93002277

From tricritical Ising to critical Ising by thermodynamic Bethe ansatz

A.B. Zamolodchikov
(
- Ecole Normale Superieure
)

- Nucl.Phys.B 358 (1991) 524-546
•
DOI:
- 10.1016/0550-3213(91)90423-U

1-25 of 27
1
2
25 / page