Conformality and self-duality of Nf = 2 QED3 - INSPIRE

DataBETA

Conformality and self-duality of Nf = 2 QED3

Zhijin Li
(
- Yale U.
)

Jul 19, 2021

9 pages

Published in:

Phys.Lett.B 831 (2022) 137192

Published: Aug 10, 2022

e-Print:

2107.09020 [hep-th]

DOI:

10.1016/j.physletb.2022.137192 (publication)

View in:

reference search12 citations

Citations per year

Abstract: (Elsevier B.V.)

We study the IR phase of three dimensional quantum electrodynamics (QED3) coupled to

N_{f} = 2

flavors of two-component Dirac fermions, which has been controversial for decades. This theory has been proposed to be self-dual with symmetry enhancement

(S U {(2)}_{f} \times U {(1)}_{t}) / Z_{2} \to O (4)

at the IR fixed point. We focus on the four-point correlator of monopole operators with unit topological charge of

U {(1)}_{t}

. We illustrate the

O (4) \to S U {(2)}_{f} \times U {(1)}_{t}

branching rules based on an

O (4)

symmetric positive structure in the monopole four-point crossing equations. We use conformal bootstrap method to derive nonperturbative constraints on the CFT data and test the conformality and self-duality of

N_{f} = 2

QED3. In particular we find the CFT data obtained from previous lattice simulations can be ruled out by introducing irrelevant assumptions in the spectrum, indicating the IR phase of

N_{f} = 2

QED3 is not conformal.

Note:

4+5 pages, 2+1 figures; v2: references added, typos corrected; v3: 3+1 figures, explanation on the parity charges added, matches version to appear in PLB

field theory: conformal
fermion: Dirac
charge: topological
bootstrap: conformal
dimension: 3
monopole: operator
symmetry: enhancement
fixed point: infrared
quantum electrodynamics
self-duality

References(69)

Figures(4)

[1]

Compact Gauge Fields and the Infrared Catastrophe

Alexander M. Polyakov
(
- Landau Inst.
)

- Phys.Lett.B 59 (1975) 82-84,
•
DOI:
- 10.1016/0370-2693(75)90162-8

[2]

Quark Confinement and Topology of Gauge Groups

Alexander M. Polyakov
(
- Nordita
)

- Nucl.Phys.B 120 (1977) 429-458
•
DOI:
- 10.1016/0550-3213(77)90086-4

[3]

Chiral Symmetry Breaking in Three-Dimensional Electrodynamics

Robert D. Pisarski
(
- Santa Barbara, KITP
)

- Phys.Rev.D 29 (1984) 2423
•
DOI:
- 10.1103/PhysRevD.29.2423

[4]

Spontaneous Chiral Symmetry Breaking in Three-Dimensional QED

- Phys.Rev.D 33 (1986) 3704
•
DOI:
- 10.1103/PhysRevD.33.3704

[5]

Critical Behavior in (2+1)-Dimensional QED

- Phys.Rev.Lett. 60 (1988) 2575
•
DOI:
- 10.1103/PhysRevLett.60.2575

[6]

Higher Order Corrections in (2+1)-Dimensional QED

Daniel Nash
(
- Yale U.
)

- Phys.Rev.Lett. 62 (1989) 3024
•
DOI:
- 10.1103/PhysRevLett.62.3024

[7]

The Influence of the full vertex and vacuum polarization on the fermion propagator in QED in three-dimensions

P. Maris
(
- Nagoya U.
)

- Phys.Rev.D 54 (1996) 4049-4058
•
e-Print:
- hep-ph/9606214
•
DOI:
- 10.1103/PhysRevD.54.4049

[8]

Inverse Landau-Khalatnikov transformation and infrared critical exponents of (2+1)-dimensional quantum electrodynamics

- Phys.Lett.B 402 (1997) 154-158
•
e-Print:
- hep-th/9701087
•
DOI:
- 10.1016/S0370-2693(97)00447-4

[9]

A New constraint on strongly coupled gauge theories

- Phys.Rev.D 60 (1999) 045003
•
e-Print:
- hep-th/9901109
•
DOI:
- 10.1103/PhysRevD.60.045003

[10]

Dynamical symmetry breaking in QED(3) from the Wilson RG point of view

Ken-ichi Kubota
(
- Kanazawa U.
)
,
Harukiko Terao
(
- Kanazawa U.
)

- Prog.Theor.Phys. 105 (2001) 809-825
•
e-Print:
- hep-ph/0101073
•
DOI:
- 10.1143/PTP.105.809

[11]

Gauge invariant response functions in Algebraic Fermi liquids

M. Franz
(
- British Columbia U.
)
,
T. Pereg-Barnea
(
- British Columbia U.
)
,
D.E. Sheehy
(
- British Columbia U.
)
,
Z. Tesanovic
(
- Johns Hopkins U.
)

- Phys.Rev.B 68 (2003) 024508
•
e-Print:
- cond-mat/0211119
•
DOI:
- 10.1103/PhysRevB.68.024508

[12]

Dynamical chiral symmetry breaking in unquenched QED(3)

- Phys.Rev.D 70 (2004) 073007
•
e-Print:
- hep-ph/0407104
•
DOI:
- 10.1103/PhysRevD.70.073007

[13]

Critical behavior of ( 2+1 )-dimensional QED: 1/N $_f$ corrections in the Landau gauge

- Phys.Rev.D 94 (2016) 5, 056009,
- Phys.Rev.D 99 (2019) 11, 119901 (erratum)
•
e-Print:
- 1605.01911
•
DOI:
- 10.1103/PhysRevD.94.056009

[14]

Chiral symmetry breaking in QED(3) in presence of irrelevant interactions: A Renormalization group study

Kamran Kaveh
(
- Simon Fraser U.
)
,
Igor F. Herbut
(
- Simon Fraser U.
)

- Phys.Rev.B 71 (2005) 184519
•
e-Print:
- cond-mat/0411594
•
DOI:
- 10.1103/PhysRevB.71.184519

[15]

Conformal QED $_d$ , $F$ -Theorem and the $\epsilon$ Expansion

Simone Giombi
(
- Princeton U.
)
,
Igor R. Klebanov
(
- Princeton U. and
- Princeton U., CTP
)
,
Grigory Tarnopolsky
(
- Princeton U.
)

- J.Phys.A 49 (2016) 13, 135403
•
e-Print:
- 1508.06354
•
DOI:
- 10.1088/1751-8113/49/13/135403

[16]

Quantum Electrodynamics in d=3 from the ε Expansion

Lorenzo Di Pietro
(
- Weizmann Inst.
)
,
Zohar Komargodski
(
- Weizmann Inst.
)
,
Itamar Shamir
(
- Weizmann Inst.
)
,
Emmanuel Stamou
(
- Weizmann Inst.
)

- Phys.Rev.Lett. 116 (2016) 13, 131601
•
e-Print:
- 1508.06278
•
DOI:
- 10.1103/PhysRevLett.116.131601

[17]

On $C_{J}$ and $C_{T}$ in Conformal QED

Simone Giombi
(
- Princeton U.
)
,
Grigory Tarnopolsky
(
- Princeton U.
)
,
Igor R. Klebanov
(
- Princeton U., CTP and
- Princeton U.
)

- JHEP 08 (2016) 156
•
e-Print:
- 1602.01076
•
DOI:
- 10.1007/JHEP08(2016)156

[18]

Critical behavior of the QED $_3$ -Gross-Neveu-Yukawa model at four loops

Nikolai Zerf
(
- Humboldt U., Berlin
)
,
Peter Marquard
(
- DESY, Zeuthen
)
,
Rufus Boyack
(
- Alberta U.
)
,
Joseph Maciejko
(
- Alberta U. and
- Canadian Inst. Advanced Res.
)

- Phys.Rev.B 98 (2018) 16, 165125
•
e-Print:
- 1808.00549
•
DOI:
- 10.1103/PhysRevB.98.165125

[19]

Chiral symmetry breaking in three-dimensional quantum electrodynamics as fixed point annihilation

Igor F. Herbut
(
- Simon Fraser U.
)

- Phys.Rev.D 94 (2016) 2, 025036
•
e-Print:
- 1605.09482
•
DOI:
- 10.1103/PhysRevD.94.025036

[20]

Critical number of fermions in three-dimensional QED

V.P. Gusynin
(
- BITP, Kiev
)
,
P.K. Pyatkovskiy
(
- Manitoba U.
)

- Phys.Rev.D 94 (2016) 12, 125009
•
e-Print:
- 1607.08582
•
DOI:
- 10.1103/PhysRevD.94.125009

[21]

Critical flavor number in the three dimensional Thirring model

Stavros Christofi
(
- Frederick Inst. Tech.
)
,
Simon Hands
(
- Swansea U.
)
,
Costas Strouthos
(
- EPFL-ISIC, Lausanne
)

- Phys.Rev.D 75 (2007) 101701
•
e-Print:
- hep-lat/0701016
•
DOI:
- 10.1103/PhysRevD.75.101701

[22]

Critical behavior of the (2+1)-dimensional Thirring model

Lukas Janssen
(
- Jena U.
)
,
Holger Gies
(
- Jena U.
)

- Phys.Rev.D 86 (2012) 105007
•
e-Print:
- 1208.3327
•
DOI:
- 10.1103/PhysRevD.86.105007

[23]

Phase structure of many-flavor QED $_3$

Jens Braun
(
- Darmstadt, EMMI and
- Darmstadt, Tech. U. and
- Jena U., TPI
)
,
Holger Gies
(
- Jena U., TPI and
- Helmholtz Inst., Jena
)
,
Lukas Janssen
(
- Jena U., TPI and
- Simon Fraser U.
)
,
Dietrich Roscher
(
- Darmstadt, Tech. U. and
- Jena U., TPI
)

- Phys.Rev.D 90 (2014) 3, 036002
•
e-Print:
- 1404.1362
•
DOI:
- 10.1103/PhysRevD.90.036002

[24]

RG Flows and Bifurcations

Sergei Gukov
(
- Bonn, Max Planck Inst., Math. and
- Caltech
)

- Nucl.Phys.B 919 (2017) 583-638
•
e-Print:
- 1608.06638
•
DOI:
- 10.1016/j.nuclphysb.2017.03.025

[25]

The Chiral limit of noncompact QED in three-dimensions

- Nucl.Phys.B Proc.Suppl. 119 (2003) 974-976,
•
e-Print:
- hep-lat/0209133
•
DOI:
- 10.1016/S0920-5632(03)01735-3

1-25 of 69
1
2
3
25 / page