Fetching the paper…

Reading the bibliography…

2021

Bounding 3d CFT correlators

Paulos, Miguel F., Zheng, Zechuan

Original
PDF
Post on X

Understand

We consider the problem of bounding CFT correlators on the Euclidean section.

By reformulating the question as an optimization problem, we construct functionals numerically which determine upper and lower bounds on correlators under several circumstances.
A useful outcome of our analysis is that the gap maximization bootstrap problem can be reproduced by a numerically easier optimization problem.
We find that the 3d Ising spin correlator takes the minimal possible allowed values on the Euclidean section.

Bounding 3d CFT correlators · Around

Built on

M. F. Paulos and B. Zan,
Original
1904
Earlier work this paper cites.
M. F. Paulos,
Original
1910
Earlier work this paper cites.
D. Mazáč, L. Rastelli, and X. Zhou,
Original
1910
Earlier work this paper cites.
D. Z. Freedman, S. D. Mathur, A. Matusis, and L. Rastelli,
1999
Earlier work this paper cites.
E. D’Hoker, S. D. Mathur, A. Matusis, and L. Rastelli,
2000
Earlier work this paper cites.
R. Rattazzi, V. S. Rychkov, E. Tonni, and A. Vichi,
Original
2008
Earlier work this paper cites.
S. Caron-Huot, D. Mazac, L. Rastelli, and D. Simmons-Duffin,
Original
2008
Earlier work this paper cites.
R. Rattazzi, S. Rychkov, and A. Vichi,
Original
2011
Earlier work this paper cites.
S. El-Showk, M. F. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin, and A. Vichi,
Original
2012
Earlier work this paper cites.
M. F. Paulos,
Original
2012
Earlier work this paper cites.
D. Pappadopulo, S. Rychkov, J. Espin, and R. Rattazzi,
Original
2012
Earlier work this paper cites.

Similar

M. Hogervorst and S. Rychkov,
Original
2013
Cited alongside, same era.
S. El-Showk and M. F. Paulos,
Original
2013
Cited alongside, same era.
D. Simmons-Duffin,
Original
2015
Cited alongside, same era.
K. Sen and A. Sinha,
Original
2016
Cited alongside, same era.
E. Hijano, P. Kraus, E. Perlmutter, and R. Snively,
Original
2016
Cited alongside, same era.

Then

C. Behan, L. Rastelli, S. Rychkov, and B. Zan,
Original
2017
Later among the works it cites.
C. Behan, L. Rastelli, S. Rychkov, and B. Zan,
Original
2017
Later among the works it cites.
S. El-Showk and M. F. Paulos,
Original
2018
Later among the works it cites.
R. Gopakumar and A. Sinha,
Original
2018
Later among the works it cites.
D. Poland, S. Rychkov, and A. Vichi,
Original
2019
Later among the works it cites.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

M. F. Paulos, S. Rychkov, B. C. van Rees, and B. Zan,

2016

Cited alongside, same era.

M. F. Paulos, J. Penedones, J. Toledo, B. C. van Rees, and P. Vieira,

2017

Cited alongside, same era.

R. Gopakumar, A. Kaviraj, K. Sen, and A. Sinha,

2017

Cited alongside, same era.

R. Gopakumar, A. Kaviraj, K. Sen, and A. Sinha,

2017

Cited alongside, same era.

D. Simmons-Duffin,

2017

Cited alongside, same era.

M. F. Paulos,

Cited in the paper.

M. Reehorst, S. Rychkov, D. Simmons-Duffin, B. Sirois, N. Su, and B. Van Rees,

Cited in the paper.

D. Mazac and M. F. Paulos,

2019

Later among the works it cites.

S. Collier, Y. Gobeil, H. Maxfield, and E. Perlmutter,

2019

Later among the works it cites.

D. Mazac and M. F. Paulos,

2019

Later among the works it cites.

2019

Later among the works it cites.

R. Gopakumar, A. Sinha, and A. Zahed,

Original

2021

Closest in time.