Built on

D. Karateev, P. Kravchuk, M. Serone, and A. Vichi, “Fermion Conformal Bootstrap in 4d,” JHEP
Original
1902
Earlier work this paper cites.
M. Go and Y. Tachikawa, “autoboot: A generator of bootstrap equations with global symmetry,” JHEP
Original
1903
Earlier work this paper cites.
Z. Li, “Bootstrapping Veneziano Amplitude of Vasiliev Theory and 3 D 3D Bosonization,” arXiv:1906.05834 [hep-th]
Original
1906
Earlier work this paper cites.
N. B. Agmon, S. M. Chester, and S. S. Pufu, “The M-theory Archipelago,” JHEP
Original
1907
Earlier work this paper cites.
R. S. Erramilli, L. V. Iliesiu, and P. Kravchuk, “Recursion relation for general 3d blocks,” JHEP
Original
1907
Earlier work this paper cites.
W. Landry and D. Simmons-Duffin, “Scaling the semidefinite program solver SDPB,” arXiv:1909.09745 [hep-th]
Original
1909
Earlier work this paper cites.
C.-M. Chang, M. Fluder, Y.-H. Lin, S.-H. Shao, and Y. Wang, “3d N=4 Bootstrap and Mirror Symmetry,” arXiv:1910.03600 [hep-th]
Original
1910
Earlier work this paper cites.
R. R. Kalloor, “Four-point functions in large N N Chern-Simons fermionic theories,” arXiv:1910.14617 [hep-th]
Original
1910
Earlier work this paper cites.
S. Giombi, R. Huang, I. R. Klebanov, S. S. Pufu, and G. Tarnopolsky, “The O ⁡ ( N ) O(N) Model in 4 < d < 6 {4<d<6} : Instantons and complex CFTs,” Phys. Rev
Original
1910
Earlier work this paper cites.
A. D. Bond, D. F. Litim, and T. Steudtner, “Asymptotic safety with Majorana fermions and new large N N equivalences,” Phys. Rev. D
Original
1911
Earlier work this paper cites.
M. Reehorst, E. Trevisani, and A. Vichi, “Mixed Scalar-Current bootstrap in three dimensions,” arXiv:1911.05747 [hep-th]
Original
1911
Earlier work this paper cites.
S. M. Chester, W. Landry, J. Liu, D. Poland, D. Simmons-Duffin, N. Su, and A. Vichi, “Carving out OPE space and precise O ⁡ ( 2 ) O(2) model critical exponents,” arXiv:1912.03324 [hep-th]
Original
1912
Earlier work this paper cites.
R. Ma and C. Wang, “A theory of deconfined pseudo-criticality,” arXiv:1912.12315 [cond-mat.str-el]
Original
1912
Earlier work this paper cites.
A. Nahum, “Note on Wess-Zumino-Witten models and quasiuniversality in 2+1 dimensions,” arXiv:1912.13468 [cond-mat.str-el]
Original
1912
Earlier work this paper cites.
W. E. Caswell, “Asymptotic Behavior of Nonabelian Gauge Theories to Two Loop Order,” Phys. Rev. Lett
1974
Earlier work this paper cites.
D. J. Gross and A. Neveu, “Dynamical Symmetry Breaking in Asymptotically Free Field Theories,” Phys. Rev
1974
Earlier work this paper cites.
A. M. Polyakov, “Compact Gauge Fields and the Infrared Catastrophe,” Phys. Lett
1975
Earlier work this paper cites.
A. M. Polyakov, “Quark Confinement and Topology of Gauge Groups,” Nucl. Phys
1977
Earlier work this paper cites.
T. Banks and A. Zaks, “On the Phase Structure of Vector-Like Gauge Theories with Massless Fermions,” Nucl. Phys
1982
Earlier work this paper cites.
R. D. Pisarski, “Chiral Symmetry Breaking in Three-Dimensional Electrodynamics,” Phys. Rev
1984
Earlier work this paper cites.
T. W. Appelquist, M. J. Bowick, D. Karabali, and L. C. R. Wijewardhana, “Spontaneous Chiral Symmetry Breaking in Three-Dimensional QED,” Phys. Rev
1986
Earlier work this paper cites.
T. Appelquist, D. Nash, and L. C. R. Wijewardhana, “Critical Behavior in (2+1)-Dimensional QED,” Phys. Rev. Lett
1988
Earlier work this paper cites.
T. Appelquist, K. D. Lane, and U. Mahanta, “On the Ladder Approximation for Spontaneous Chiral Symmetry Breaking,” Phys. Rev. Lett
1988
Earlier work this paper cites.
J. A. Gracey, “Electron mass anomalous dimension at O(1/(Nf(2)) in quantum electrodynamics,” Phys. Lett
1993
Earlier work this paper cites.
K. G. Chetyrkin, “Quark mass anomalous dimension to O (alpha-s**4),” Phys. Lett
1997
Earlier work this paper cites.
J. A. M. Vermaseren, S. A. Larin, and T. van Ritbergen, “The four loop quark mass anomalous dimension and the invariant quark mass,” Phys. Lett
1997
Earlier work this paper cites.
K.-I. Kubota and H. Terao, “Dynamical Symmetry Breaking in QED3 from the Wilson RG Point of View,” Progress of Theoretical Physics
2001
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal four point functions and the operator product expansion,” Nucl. Phys
2001
Earlier work this paper cites.
P. Benetti Genolini, M. Honda, H.-C. Kim, D. Tong, and C. Vafa, “Evidence for a Non-Supersymmetric 5d CFT from Deformations of 5d S U ( 2 ) SU(2) SYM,” arXiv:2001.00023 [hep-th]
Original
2001
Earlier work this paper cites.
L. Di Pietro and M. Serone, “Looking through the QCD Conformal Window with Perturbation Theory,” arXiv:2003.01742 [hep-th]
Original
2003
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal partial waves and the operator product expansion,” Nucl. Phys
2004
Earlier work this paper cites.
K. Kaveh and I. F. Herbut, “Chiral symmetry breaking in three-dimensional quantum electrodynamics in the presence of irrelevant interactions: A renormalization group study,” Phys. Rev. B
2005
Earlier work this paper cites.
Y.-C. He, J. Rong, and N. Su, “Non-Wilson-Fisher kinks of O ⁡ ( N ) O(N) numerical bootstrap: from the deconfined phase transition to a putative new family of CFTs,” arXiv:2005.04250 [hep-th]
Original
2005
Earlier work this paper cites.
H. Gies and J. Jaeckel, “Chiral phase structure of QCD with many flavors,” Eur. Phys. J. C
2006
Earlier work this paper cites.
D. D. Dietrich and F. Sannino, “Conformal window of SU(N) gauge theories with fermions in higher dimensional representations,” Phys. Rev
2007
Earlier work this paper cites.
R. Rattazzi, V. S. Rychkov, E. Tonni, and A. Vichi, “Bounding scalar operator dimensions in 4D CFT,” JHEP
Original
2008
Earlier work this paper cites.
C. Xu, “Renormalization group studies on four-fermion interaction instabilities on algebraic spin liquids,” Phys. Rev. B
2008
Earlier work this paper cites.
V. S. Rychkov and A. Vichi, “Universal Constraints on Conformal Operator Dimensions,” Phys. Rev
Original
2009
Earlier work this paper cites.

Similar

D. B. Kaplan, J.-W. Lee, D. T. Son, and M. A. Stephanov, “Conformality Lost,” Phys. Rev
Original
2009
Cited alongside, same era.
T. Appelquist, G. T. Fleming, and E. T. Neil, “Lattice study of the conformal window in QCD-like theories,” Phys. Rev. Lett
Original
2009
Cited alongside, same era.
F. Sannino, “Conformal Windows of SP(2N) and SO(N) Gauge Theories,” Phys. Rev. D
Original
2009
Cited alongside, same era.
R. Rattazzi, S. Rychkov, and A. Vichi, “Bounds in 4D Conformal Field Theories with Global Symmetry,” J. Phys
Original
2011
Cited alongside, same era.
T. A. Ryttov and R. Shrock, “Higher-Loop Corrections to the Infrared Evolution of a Gauge Theory with Fermions,” Phys. Rev

Then

H. Iha, H. Makino, and H. Suzuki, “Upper bound on the mass anomalous dimension in many-flavor gauge theories: a conformal bootstrap approach,” PTEP
Original
2016
Later among the works it cites.
Y. Nakayama, “Bootstrap bound for conformal multi-flavor QCD on lattice,” JHEP
Original
2016
Later among the works it cites.
V. Alba and K. Diab, “Constraining conformal field theories with a higher spin symmetry in d > 3 d>3 dimensions,” JHEP
Original
2016
Later among the works it cites.
L. Iliesiu, F. Kos, D. Poland, S. S. Pufu, D. Simmons-Duffin, and R. Yacoby, “Bootstrapping 3D Fermions,” JHEP
Original
2016
Later among the works it cites.
S. M. Chester and S. S. Pufu, “Anomalous dimensions of scalar operators in QED 3

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2020

Searching for gauge theories with the conformal bootstrap

Li, Zhijin, Poland, David

Understand

Infrared fixed points of gauge theories provide intriguing targets for the modern conformal bootstrap program.

In this work we provide some preliminary evidence that a family of gauged fermionic CFTs saturate bootstrap bounds and can potentially be solved with the conformal bootstrap.
We start by considering the bootstrap for $SO(N)$ vector 4-point functions in general dimension $D$.
In the large $N$ limit, upper bounds on the scaling dimensions of the lowest $SO(N)$ singlet and traceless symmetric scalars interpolate between two solutions at $\Delta =D/2-1$ and $\Delta =D-1$ via generalized free field theory.

Built on

D. Karateev, P. Kravchuk, M. Serone, and A. Vichi, “Fermion Conformal Bootstrap in 4d,” JHEP
Original
1902
Earlier work this paper cites.
M. Go and Y. Tachikawa, “autoboot: A generator of bootstrap equations with global symmetry,” JHEP
Original
1903
Earlier work this paper cites.
Z. Li, “Bootstrapping Veneziano Amplitude of Vasiliev Theory and 3 D 3D Bosonization,” arXiv:1906.05834 [hep-th]
Original
1906
Earlier work this paper cites.
N. B. Agmon, S. M. Chester, and S. S. Pufu, “The M-theory Archipelago,” JHEP
Original
1907
Earlier work this paper cites.
R. S. Erramilli, L. V. Iliesiu, and P. Kravchuk, “Recursion relation for general 3d blocks,” JHEP
Original
1907
Earlier work this paper cites.
W. Landry and D. Simmons-Duffin, “Scaling the semidefinite program solver SDPB,” arXiv:1909.09745 [hep-th]
Original
1909
Earlier work this paper cites.
C.-M. Chang, M. Fluder, Y.-H. Lin, S.-H. Shao, and Y. Wang, “3d N=4 Bootstrap and Mirror Symmetry,” arXiv:1910.03600 [hep-th]
Original
1910
Earlier work this paper cites.
R. R. Kalloor, “Four-point functions in large N N Chern-Simons fermionic theories,” arXiv:1910.14617 [hep-th]
Original
1910
Earlier work this paper cites.
S. Giombi, R. Huang, I. R. Klebanov, S. S. Pufu, and G. Tarnopolsky, “The O ⁡ ( N ) O(N) Model in 4 < d < 6 {4<d<6} : Instantons and complex CFTs,” Phys. Rev
Original
1910
Earlier work this paper cites.
A. D. Bond, D. F. Litim, and T. Steudtner, “Asymptotic safety with Majorana fermions and new large N N equivalences,” Phys. Rev. D
Original
1911
Earlier work this paper cites.
M. Reehorst, E. Trevisani, and A. Vichi, “Mixed Scalar-Current bootstrap in three dimensions,” arXiv:1911.05747 [hep-th]
Original
1911
Earlier work this paper cites.
S. M. Chester, W. Landry, J. Liu, D. Poland, D. Simmons-Duffin, N. Su, and A. Vichi, “Carving out OPE space and precise O ⁡ ( 2 ) O(2) model critical exponents,” arXiv:1912.03324 [hep-th]
Original
1912
Earlier work this paper cites.
R. Ma and C. Wang, “A theory of deconfined pseudo-criticality,” arXiv:1912.12315 [cond-mat.str-el]
Original
1912
Earlier work this paper cites.
A. Nahum, “Note on Wess-Zumino-Witten models and quasiuniversality in 2+1 dimensions,” arXiv:1912.13468 [cond-mat.str-el]
Original
1912
Earlier work this paper cites.
W. E. Caswell, “Asymptotic Behavior of Nonabelian Gauge Theories to Two Loop Order,” Phys. Rev. Lett
1974
Earlier work this paper cites.
D. J. Gross and A. Neveu, “Dynamical Symmetry Breaking in Asymptotically Free Field Theories,” Phys. Rev
1974
Earlier work this paper cites.
A. M. Polyakov, “Compact Gauge Fields and the Infrared Catastrophe,” Phys. Lett
1975
Earlier work this paper cites.
A. M. Polyakov, “Quark Confinement and Topology of Gauge Groups,” Nucl. Phys
1977
Earlier work this paper cites.
T. Banks and A. Zaks, “On the Phase Structure of Vector-Like Gauge Theories with Massless Fermions,” Nucl. Phys
1982
Earlier work this paper cites.
R. D. Pisarski, “Chiral Symmetry Breaking in Three-Dimensional Electrodynamics,” Phys. Rev
1984
Earlier work this paper cites.
T. W. Appelquist, M. J. Bowick, D. Karabali, and L. C. R. Wijewardhana, “Spontaneous Chiral Symmetry Breaking in Three-Dimensional QED,” Phys. Rev
1986
Earlier work this paper cites.
T. Appelquist, D. Nash, and L. C. R. Wijewardhana, “Critical Behavior in (2+1)-Dimensional QED,” Phys. Rev. Lett
1988
Earlier work this paper cites.
T. Appelquist, K. D. Lane, and U. Mahanta, “On the Ladder Approximation for Spontaneous Chiral Symmetry Breaking,” Phys. Rev. Lett
1988
Earlier work this paper cites.
J. A. Gracey, “Electron mass anomalous dimension at O(1/(Nf(2)) in quantum electrodynamics,” Phys. Lett
1993
Earlier work this paper cites.
K. G. Chetyrkin, “Quark mass anomalous dimension to O (alpha-s**4),” Phys. Lett
1997
Earlier work this paper cites.
J. A. M. Vermaseren, S. A. Larin, and T. van Ritbergen, “The four loop quark mass anomalous dimension and the invariant quark mass,” Phys. Lett
1997
Earlier work this paper cites.
K.-I. Kubota and H. Terao, “Dynamical Symmetry Breaking in QED3 from the Wilson RG Point of View,” Progress of Theoretical Physics
2001
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal four point functions and the operator product expansion,” Nucl. Phys
2001
Earlier work this paper cites.
P. Benetti Genolini, M. Honda, H.-C. Kim, D. Tong, and C. Vafa, “Evidence for a Non-Supersymmetric 5d CFT from Deformations of 5d S U ( 2 ) SU(2) SYM,” arXiv:2001.00023 [hep-th]
Original
2001
Earlier work this paper cites.
L. Di Pietro and M. Serone, “Looking through the QCD Conformal Window with Perturbation Theory,” arXiv:2003.01742 [hep-th]
Original
2003
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal partial waves and the operator product expansion,” Nucl. Phys
2004
Earlier work this paper cites.
K. Kaveh and I. F. Herbut, “Chiral symmetry breaking in three-dimensional quantum electrodynamics in the presence of irrelevant interactions: A renormalization group study,” Phys. Rev. B
2005
Earlier work this paper cites.
Y.-C. He, J. Rong, and N. Su, “Non-Wilson-Fisher kinks of O ⁡ ( N ) O(N) numerical bootstrap: from the deconfined phase transition to a putative new family of CFTs,” arXiv:2005.04250 [hep-th]
Original
2005
Earlier work this paper cites.
H. Gies and J. Jaeckel, “Chiral phase structure of QCD with many flavors,” Eur. Phys. J. C
2006
Earlier work this paper cites.
D. D. Dietrich and F. Sannino, “Conformal window of SU(N) gauge theories with fermions in higher dimensional representations,” Phys. Rev
2007
Earlier work this paper cites.
R. Rattazzi, V. S. Rychkov, E. Tonni, and A. Vichi, “Bounding scalar operator dimensions in 4D CFT,” JHEP
Original
2008
Earlier work this paper cites.
C. Xu, “Renormalization group studies on four-fermion interaction instabilities on algebraic spin liquids,” Phys. Rev. B
2008
Earlier work this paper cites.
V. S. Rychkov and A. Vichi, “Universal Constraints on Conformal Operator Dimensions,” Phys. Rev
Original
2009
Earlier work this paper cites.

Similar

D. B. Kaplan, J.-W. Lee, D. T. Son, and M. A. Stephanov, “Conformality Lost,” Phys. Rev
Original
2009
Cited alongside, same era.
T. Appelquist, G. T. Fleming, and E. T. Neil, “Lattice study of the conformal window in QCD-like theories,” Phys. Rev. Lett
Original
2009
Cited alongside, same era.
F. Sannino, “Conformal Windows of SP(2N) and SO(N) Gauge Theories,” Phys. Rev. D
Original
2009
Cited alongside, same era.
R. Rattazzi, S. Rychkov, and A. Vichi, “Bounds in 4D Conformal Field Theories with Global Symmetry,” J. Phys
Original
2011
Cited alongside, same era.
T. A. Ryttov and R. Shrock, “Higher-Loop Corrections to the Infrared Evolution of a Gauge Theory with Fermions,” Phys. Rev

Then

H. Iha, H. Makino, and H. Suzuki, “Upper bound on the mass anomalous dimension in many-flavor gauge theories: a conformal bootstrap approach,” PTEP
Original
2016
Later among the works it cites.
Y. Nakayama, “Bootstrap bound for conformal multi-flavor QCD on lattice,” JHEP
Original
2016
Later among the works it cites.
V. Alba and K. Diab, “Constraining conformal field theories with a higher spin symmetry in d > 3 d>3 dimensions,” JHEP
Original
2016
Later among the works it cites.
L. Iliesiu, F. Kos, D. Poland, S. S. Pufu, D. Simmons-Duffin, and R. Yacoby, “Bootstrapping 3D Fermions,” JHEP
Original
2016
Later among the works it cites.
S. M. Chester and S. S. Pufu, “Anomalous dimensions of scalar operators in QED 3

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2011

Cited alongside, same era.

T. Appelquist, G. T. Fleming, M. F. Lin, E. T. Neil, and D. A. Schaich, “Lattice Simulations and Infrared Conformality,” Phys. Rev

Original

2011

Cited alongside, same era.

T. DeGrand, “Finite-size scaling tests for spectra in SU(3) lattice gauge theory coupled to 12 fundamental flavor fermions,” Phys. Rev

Original

2011

Cited alongside, same era.

S. El-Showk, M. F. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin, and A. Vichi, “Solving the 3D Ising Model with the Conformal Bootstrap,” Phys. Rev

Original

2012

Cited alongside, same era.

D. Poland, D. Simmons-Duffin, and A. Vichi, “Carving Out the Space of 4D CFTs,” JHEP

Original

2012

Cited alongside, same era.

Y. Aoki, T. Aoyama, M. Kurachi, T. Maskawa, K.-i. Nagai, H. Ohki, A. Shibata, K. Yamawaki, and T. Yamazaki, “Lattice study of conformality in twelve-flavor QCD,” Phys. Rev

Original

2012

Cited alongside, same era.

Z. Fodor, K. Holland, J. Kuti, D. Nogradi, C. Schroeder, and C. H. Wong, “Conformal finite size scaling of twelve fermion flavors,” PoS

Original

2012

Cited alongside, same era.

M. Mojaza, C. Pica, T. A. Ryttov, and F. Sannino, “Exceptional and Spinorial Conformal Windows,” Phys. Rev. D

Original

2012

Cited alongside, same era.

Original

2016