Fetching the paper…

Reading the bibliography…

2019

Carving out OPE space and precise $O(2)$ model critical exponents

Chester, Shai M., Landry, Walter, Liu, Junyu et al.

Original
PDF
Post on X

Understand

We develop new tools for isolating CFTs using the numerical bootstrap.

A "cutting surface" algorithm for scanning OPE coefficients makes it possible to find islands in high-dimensional spaces.
Together with recent progress in large-scale semidefinite programming, this enables bootstrap studies of much larger systems of correlation functions than was previously practical.
We apply these methods to correlation functions of charge-0, 1, and 2 scalars in the 3d $O(2)$ model, computing new precise values for scaling dimensions and OPE coefficients in this theory.

Carving out OPE space and precise $O(2)$ model critical exponents · Around

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.
A. Stergiou, “Bootstrapping MN and Tetragonal CFTs in Three Dimensions,” SciPost Phys
Original
1904
Earlier work this paper cites.
S. Albayrak, D. Meltzer, and D. Poland, “More Analytic Bootstrap: Nonperturbative Effects and Fermions,” JHEP
Original
1904
Earlier work this paper cites.
H. Shao, W. Guo, and A. W. Sandvik, “Monte Carlo Renormalization Flows in the Space of Relevant and Irrelevant Operators: Application to Three-Dimensional Clock Models,” arXiv:1905.13640 [cond-mat.str-el]
Original
1905
Earlier work this paper cites.
S. M. Chester, “Weizmann Lectures on the Numerical Conformal Bootstrap,” arXiv:1907.05147 [hep-th]
Original
1907
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.
W. Xu, Y. Sun, J.-P. Lv, and Y. Deng, “High-precision Monte Carlo study of several models in the three-dimensional U(1) universality class,” Phys. Rev
Original
1908
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.
J. Rong and N. Su, “Bootstrapping the 𝒩 = 1 \mathcal{N}=1 Wess-Zumino models in three dimensions,” arXiv:1910.08578 [hep-th]
Original
1910
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.
M. Hasenbusch, “Monte Carlo study of an improved clock model in three dimensions,” Phys. Rev. B
Original
1910
Earlier work this paper cites.
S. R. Kousvos and A. Stergiou, “Bootstrapping Mixed Correlators in Three-Dimensional Cubic Theories II,” SciPost Phys
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.
O. Nachtmann, “Positivity constraints for anomalous dimensions,” Nucl.Phys
1973
Earlier work this paper cites.
M. R. Moldover, J. V. Sengers, R. W. Gammon, and R. J. Hocken, “Gravity effects in fluids near the gas-liquid critical point,” Rev. Mod. Phys
1979
Earlier work this paper cites.
Graduate Student Series in Physics. Taylor & Francis, 1990
D. Tilley and J. Tilley, Superfluidity and Superconductivity · 1990
Earlier work this paper cites.
J. A. Lipa, D. R. Swanson, J. A. Nissen, T. C. P. Chui, and U. E. Israelsson, “Heat Capacity and Thermal Relaxation of Bulk Helium very near the Lambda Point,” Phys. Rev. Lett
1996
Earlier work this paper cites.
C. B. Barber, D. P. Dobkin, and H. Huhdanpaa, “The quickhull algorithm for convex hulls,” ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE
1996
Earlier work this paper cites.
R. Guida and J. Zinn-Justin, “Critical exponents of the N vector model,” J. Phys
1998
Earlier work this paper cites.
M. Caselle and M. Hasenbusch, “The Stability of the O(N) invariant fixed point in three-dimensions,” J. Phys
1998
Earlier work this paper cites.
J. A. Lipa, D. R. Swanson, J. A. Nissen, Z. K. Geng, P. R. Williamson, D. A. Stricker, T. C. P. Chui, U. E. Israelsson, and M. Larson, “Specific Heat of Helium Confined to a 57- mum Planar Geometry near the Lambda Point,” Phys. Rev. Lett
2000
Earlier work this paper cites.
J. M. Carmona, A. Pelissetto, and E. Vicari, “The N component Ginzburg-Landau Hamiltonian with cubic anisotropy: A Six loop study,” Phys. Rev
2000
Earlier work this paper cites.
F. Jasch and H. Kleinert, “Fast-convergent resummation algorithm and critical exponents of phi4-theory in three dimensions,” Journal of Mathematical Physics
2001
Earlier work this paper cites.
A. Pelissetto and E. Vicari, “Critical phenomena and renormalization-group theory,” Phys. Rept
2002
Earlier work this paper cites.
J. Lipa, J. Nissen, D. Stricker, D. Swanson, and T. Chui, “Specific heat of liquid helium in zero gravity very near the lambda point,” Phys.Rev
2003
Earlier work this paper cites.
P. Calabrese, A. Pelissetto, and E. Vicari, “Multicritical phenomena in O(n(1)) + O(n(2)) symmetric theories,” Phys. Rev
2003
Earlier work this paper cites.
M. De Prato, A. Pelissetto, and E. Vicari, “Third harmonic exponent in three-dimensional N vector models,” Phys. Rev
2003
Earlier work this paper cites.
P. Calabrese and P. Parruccini, “Harmonic crossover exponents in O(n) models with the pseudo-epsilon expansion approach,” Phys. Rev
2005
Earlier work this paper cites.
E. Burovski, J. Machta, N. Prokof’ev, and B. Svistunov, “High-precision measurement of the thermal exponent for the three-dimensional xy universality class,” Physical Review B
2006
Earlier work this paper cites.
M. Campostrini, M. Hasenbusch, A. Pelissetto, and E. Vicari, “The Critical exponents of the superfluid transition in He-4,” Phys. Rev
2006
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.
V. S. Rychkov and A. Vichi, “Universal Constraints on Conformal Operator Dimensions,” Phys.Rev
Original
2009
Earlier work this paper cites.
F. Caracciolo and V. S. Rychkov, “Rigorous Limits on the Interaction Strength in Quantum Field Theory,” Phys. Rev
Original
2010
Earlier work this paper cites.
R. Rattazzi, S. Rychkov, and A. Vichi, “Bounds in 4D Conformal Field Theories with Global Symmetry,” J.Phys
Original
2011
Earlier work this paper cites.
R. Rattazzi, S. Rychkov, and A. Vichi, “Central Charge Bounds in 4D Conformal Field Theory,” Phys.Rev
Original
2011
Earlier work this paper cites.
M. Hasenbusch and E. Vicari, “Anisotropic perturbations in three-dimensional o( n n )-symmetric vector models,” Phys. Rev. B
Original
2011
Earlier work this paper cites.
A. Vichi, “Improved bounds for CFT’s with global symmetries,” JHEP
Original
2012
Earlier work this paper cites.

Similar

D. Poland, D. Simmons-Duffin, and A. Vichi, “Carving Out the Space of 4D CFTs,” JHEP
Original
2012
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.
C. Beem, L. Rastelli, and B. C. van Rees, “The 𝒩 = 4 \mathcal{N}=4 Superconformal Bootstrap,” Phys.Rev.Lett
Original
2013
Cited alongside, same era.
P. Liendo, L. Rastelli, and B. C. van Rees, “The Bootstrap Program for Boundary CFT d
Original
2013
Cited alongside, same era.
S. El-Showk and M. F. Paulos, “Bootstrapping Conformal Field Theories with the Extremal Functional Method,” Phys. Rev. Lett

Then

M. Lemos and P. Liendo, “Bootstrapping 𝒩 = 2 \mathcal{N}=2 chiral correlators,” JHEP
Original
2016
Later among the works it cites.
Y. Nakayama, “Bootstrapping critical Ising model on three-dimensional real projective space,” Phys. Rev. Lett
Original
2016
Later among the works it cites.
A. Castedo Echeverri, B. von Harling, and M. Serone, “The Effective Bootstrap,” JHEP
Original
2016
Later among the works it cites.
A. I. Sokolov and M. A. Nikitina, “Critical Exponents of Superfluid Helium and Pseudo- ϵ \epsilon Expansion,” Physica
Original
2016
Later among the works it cites.
Z. Li and N. Su, “Bootstrapping Mixed Correlators in the Five Dimensional Critical O(N) Models,” JHEP

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

2013

Cited alongside, same era.

Z. Komargodski and A. Zhiboedov, “Convexity and Liberation at Large Spin,” JHEP

2013

Cited alongside, same era.

A. L. Fitzpatrick, J. Kaplan, D. Poland, and D. Simmons-Duffin, “The Analytic Bootstrap and AdS Superhorizon Locality,” JHEP

2013

Cited alongside, same era.

F. Kos, D. Poland, and D. Simmons-Duffin, “Bootstrapping Mixed Correlators in the 3D Ising Model,” JHEP

2014

Cited alongside, same era.

F. Kos, D. Poland, and D. Simmons-Duffin, “Bootstrapping the O ⁡ ( N ) O(N) vector models,” JHEP

2014

Cited alongside, same era.

Y. Nakayama and T. Ohtsuki, “Approaching the conformal window of O ⁡ ( n ) × O ⁡ ( m ) O(n)\times O(m) symmetric Landau-Ginzburg models using the conformal bootstrap,” Phys.Rev

2014

Cited alongside, same era.

F. Caracciolo, A. Castedo Echeverri, B. von Harling, and M. Serone, “Bounds on OPE Coefficients in 4D Conformal Field Theories,” JHEP

2014

Cited alongside, same era.

Y. Nakayama and T. Ohtsuki, “Five dimensional O ⁡ ( N ) O(N) -symmetric CFTs from conformal bootstrap,” Phys. Lett

2014

Cited alongside, same era.

2017

Later among the works it cites.

D. Li, D. Meltzer, and A. Stergiou, “Bootstrapping mixed correlators in 4D 𝒩 \mathcal{N} = 1 SCFTs,” JHEP

2017

Later among the works it cites.

Y.-H. Lin, S.-H. Shao, D. Simmons-Duffin, Y. Wang, and X. Yin, “ 𝒩 \mathcal{N} = 4 superconformal bootstrap of the K3 CFT,” JHEP

2017

Later among the works it cites.

Y.-H. Lin, S.-H. Shao, Y. Wang, and X. Yin, “(2, 2) superconformal bootstrap in two dimensions,” JHEP

2017

Later among the works it cites.

J.-B. Bae, D. Gang, and J. Lee, “3d 𝒩 = 2 \mathcal{N}=2 minimal SCFTs from Wrapped M5-branes,” JHEP

2017

Later among the works it cites.

M. Lemos, P. Liendo, C. Meneghelli, and V. Mitev, “Bootstrapping 𝒩 = 3 \mathcal{N}=3 superconformal theories,” JHEP

2017

Later among the works it cites.

C. Beem, L. Rastelli, and B. C. van Rees, “More 𝒩 = 4 {\mathcal{N}}=4 superconformal bootstrap,” Phys. Rev

2017

Later among the works it cites.

M. Cornagliotto, M. Lemos, and V. Schomerus, “Long Multiplet Bootstrap,” JHEP

2017

Later among the works it cites.

C.-M. Chang and Y.-H. Lin, “Carving Out the End of the World or (Superconformal Bootstrap in Six Dimensions),” JHEP

2017

Later among the works it cites.

D. Simmons-Duffin, “The Lightcone Bootstrap and the Spectrum of the 3d Ising CFT,” JHEP

2017

Later among the works it cites.

M. S. Costa, T. Hansen, and J. Penedones, “Bounds for OPE coefficients on the Regge trajectory,” JHEP

2017

Later among the works it cites.

L. Iliesiu, F. Kos, D. Poland, S. S. Pufu, and D. Simmons-Duffin, “Bootstrapping 3D Fermions with Global Symmetries,” JHEP

2018

Later among the works it cites.

A. Dymarsky, F. Kos, P. Kravchuk, D. Poland, and D. Simmons-Duffin, “The 3d Stress-Tensor Bootstrap,” JHEP

2018

Later among the works it cites.

Y. Nakayama, “Bootstrap experiments on higher dimensional CFTs,” Int. J. Mod. Phys

2018

Later among the works it cites.

J. Rong and N. Su, “Scalar CFTs and Their Large N Limits,” JHEP

Original

2018

Later among the works it cites.

S. M. Chester, L. V. Iliesiu, M. Mezei, and S. S. Pufu, “Monopole Operators in U ⁡ ( 1 ) U(1) Chern-Simons-Matter Theories,” JHEP

2018

Later among the works it cites.

A. Stergiou, “Bootstrapping hypercubic and hypertetrahedral theories in three dimensions,” JHEP

2018

Later among the works it cites.

C.-M. Chang, M. Fluder, Y.-H. Lin, and Y. Wang, “Spheres, Charges, Instantons, and Bootstrap: A Five-Dimensional Odyssey,” JHEP

2018

Later among the works it cites.

C. Hasegawa and Y. Nakayama, “Three ways to solve critical ϕ 4 \phi^{4} theory on 4 − ϵ 4-\epsilon dimensional real projective space: perturbation, bootstrap, and Schwinger-Dyson equation,” Int. J. Mod. Phys

2018

Later among the works it cites.

M. Cornagliotto, M. Lemos, and P. Liendo, “Bootstrapping the ( A 1 , A 2 ) (A_{1},A_{2}) Argyres-Douglas theory,” JHEP

2018

Later among the works it cites.

N. B. Agmon, S. M. Chester, and S. S. Pufu, “Solving M-theory with the Conformal Bootstrap,” JHEP

2018

Later among the works it cites.

M. Baggio, N. Bobev, S. M. Chester, E. Lauria, and S. S. Pufu, “Decoding a Three-Dimensional Conformal Manifold,” JHEP

2018

Later among the works it cites.

P. Liendo, C. Meneghelli, and V. Mitev, “Bootstrapping the half-BPS line defect,” JHEP

2018

Later among the works it cites.

A. Atanasov, A. Hillman, and D. Poland, “Bootstrapping the Minimal 3D SCFT,” JHEP

2018

Later among the works it cites.

L. Iliesiu, M. Kologlu, R. Mahajan, E. Perlmutter, and D. Simmons-Duffin, “The Conformal Bootstrap at Finite Temperature,” JHEP

2018

Later among the works it cites.

D. Poland, S. Rychkov, and A. Vichi, “The Conformal Bootstrap: Theory, Numerical Techniques, and Applications,” Rev. Mod. Phys

2019

Closest in time.

C. Behan, “Bootstrapping the long-range Ising model in three dimensions,” J. Phys

2019

Closest in time.

S. R. Kousvos and A. Stergiou, “Bootstrapping Mixed Correlators in Three-Dimensional Cubic Theories,” SciPost Phys

2019

Closest in time.

A. Dymarsky, J. Penedones, E. Trevisani, and A. Vichi, “Charting the space of 3D CFTs with a continuous global symmetry,” JHEP

2019

Closest in time.

A. Cappelli, L. Maffi, and S. Okuda, “Critical Ising Model in Varying Dimension by Conformal Bootstrap,” JHEP

2019

Closest in time.

D. Meltzer, “Higher Spin ANEC and the Space of CFTs,” JHEP

2019

Closest in time.

C. Sun and R. Dai, “An iterative rank penalty method for nonconvex quadratically constrained quadratic programs,” SIAM Journal on Control and Optimization

2019

Closest in time.

D. Poland and D. Simmons-Duffin, “Bounds on 4D Conformal and Superconformal Field Theories,” JHEP

2087

Closest in time.