Fetching the paper…

Reading the bibliography…

2018

Observables in Inhomogeneous Ground States at Large Global Charge

Hellerman, Simeon, Kobayashi, Nozomu, Maeda, Shunsuke et al.

Original
PDF
Post on X

Understand

As a sequel to previous work, we extend the study of the ground state configuration of the $D=3$, Wilson-Fisher conformal $O(4)$ model.

In this work, we prove that for generic ratios of two charge densities, $\rho_1/\rho_2$, the ground-state configuration is inhomogeneous and that the inhomogeneity expresses itself towards longer spatial periods.
This is the direct extension of the similar statements we previously made for $\rho_1/\rho_2\ll 1$.
We also compute, at fixed set of charges, $\rho_1,\, \rho_2$, the ground state energy and the two-point function(s) associated with this inhomogeneous configuration on the torus.

Observables in Inhomogeneous Ground States at Large Global Charge · Around

Built on

K. G. Wilson and M. E. Fisher, “Critical exponents in 3.99 dimensions,” Phys. Rev. Lett. 28
1972
Earlier work this paper cites.
D. J. Gross and P. F. Mende, “The High-Energy Behavior of String Scattering Amplitudes,” Phys. Lett. B 197
1987
Earlier work this paper cites.
D. J. Gross and P. F. Mende, “String Theory Beyond the Planck Scale,” Nucl. Phys. B 303
1988
Earlier work this paper cites.
J. Polchinski and A. Strominger, “Effective string theory,” Phys. Rev. Lett. 67
1991
Earlier work this paper cites.
M. Baker and R. Steinke, “An Effective string theory of Abrikosov-Nielsen-Olesen vortices,” Phys. Lett. B 474
2000
Earlier work this paper cites.
S. Hellerman, A. Henriques, T. Pantev, E. Sharpe and M. Ando, “Cluster decomposition, T-duality, and gerby CFT’s,” Adv. Theor. Math. Phys. 11
2007
Earlier work this paper cites.
R. Rattazzi, V. S. Rychkov, E. Tonni and A. Vichi, “Bounding scalar operator dimensions in 4D CFT,” JHEP 0812
Original
2008
Earlier work this paper cites.
A. Caldararu, J. Distler, S. Hellerman, T. Pantev and E. Sharpe, “Non-birational twisted derived equivalences in abelian GLSMs,” Commun. Math. Phys. 294
Original
2010
Earlier work this paper cites.
S. Hellerman and E. Sharpe, “Sums over topological sectors and quantization of Fayet-Iliopoulos parameters,” Adv. Theor. Math. Phys. 15
Original
2011
Earlier work this paper cites.
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. D 86
Original
2012
Earlier work this paper cites.
Z. Komargodski and A. Zhiboedov, “Convexity and Liberation at Large Spin,” JHEP 1311
Original
2013
Earlier work this paper cites.

Similar

A. L. Fitzpatrick, J. Kaplan, D. Poland and D. Simmons-Duffin, “The Analytic Bootstrap and AdS Superhorizon Locality,” JHEP 1312
Original
2013
Cited alongside, same era.
H. Watanabe, T. Brauner and H. Murayama, “Massive Nambu-Goldstone Bosons,” Phys. Rev. Lett. 111
Original
2013
Cited alongside, same era.
F. Kos, D. Poland and D. Simmons-Duffin, “Bootstrapping the O ⁡ ( N ) O(N) vector models,” JHEP 1406
Original
2014
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 II. c-Minimization and Precise Critical Exponents,” J. Stat. Phys. 157
Original
2014
Cited alongside, same era.
S. Hellerman, S. Maeda, J. Maltz and I. Swanson, “Effective String Theory Simplified,” JHEP 1409

Then

K. Diab, L. Fei, S. Giombi, I. R. Klebanov and G. Tarnopolsky, “On C J {C}_{J} and C T {C}_{T} in the Gross–Neveu and O(N) models,” J. Phys. A 49
Original
2016
Later among the works it cites.
L. Alvarez-Gaume, O. Loukas, D. Orlando and S. Reffert, “Compensating strong coupling with large charge,” JHEP 1704
Original
2017
Later among the works it cites.
A. Monin, D. Pirtskhalava, R. Rattazzi and F. K. Seibold, “Semiclassics, Goldstone Bosons and CFT data,” JHEP 1706
Original
2017
Later among the works it cites.
O. Loukas, “Abelian scalar theory at large global charge,” Fortsch. Phys. 65
Original
2017
Later among the works it cites.
L. F. Alday, “Large Spin Perturbation Theory for Conformal Field Theories,” Phys. Rev. Lett. 119

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

2014

Cited alongside, same era.

S. Hellerman, D. Orlando, S. Reffert and M. Watanabe, “On the CFT Operator Spectrum at Large Global Charge,” JHEP 1512

2015

Cited alongside, same era.

F. Kos, D. Poland, D. Simmons-Duffin and A. Vichi, “Bootstrapping the O(N) Archipelago,” JHEP 1511

2015

Cited alongside, same era.

S. Hellerman and I. Swanson, Phys. Rev. Lett. 114

2015

Cited alongside, same era.

F. Kos, D. Poland, D. Simmons-Duffin and A. Vichi, “Precision Islands in the Ising and O ⁡ ( N ) O(N) Models,” JHEP 1608

2016

Cited alongside, same era.

P. Dey, A. Kaviraj and K. Sen, “More on analytic bootstrap for O(N) models,” JHEP 1606

2016

Cited alongside, same era.

S. Hellerman, S. Maeda, D. Orlando, S. Reffert and M. Watanabe, “Universal correlation functions in rank 1 SCFTs,” arXiv:1804.01535 [hep-th]

Cited in the paper.

S. Hellerman, N. Kobayashi, S. Maeda and M. Watanabe, “A Note on Inhomogeneous Ground States at Large Global Charge,” arXiv:1705.05825 [hep-th]

Cited in the paper.

Original

2017

Later among the works it cites.

L. F. Alday, “Solving CFTs with Weakly Broken Higher Spin Symmetry,” JHEP 1710

2017

Later among the works it cites.

S. Hellerman, S. Maeda and M. Watanabe, “Operator Dimensions from Moduli,” JHEP 1710

Original

2017

Later among the works it cites.

S. Hellerman and S. Maeda, “On the Large R R -charge Expansion in 𝒩 = 2 {\mathcal{N}}=2 Superconformal Field Theories,” JHEP 1712

2017

Later among the works it cites.

G. Cuomo, A. de la Fuente, A. Monin, D. Pirtskhalava and R. Rattazzi, “Rotating superfluids and spinning charged operators in conformal field theory,” Phys. Rev. D 97

2018

Closest in time.

D. Banerjee, S. Chandrasekharan and D. Orlando, “Conformal dimensions via large charge expansion,” Phys. Rev. Lett. 120

2018

Closest in time.