Two-point functions and bootstrap applications in quantum field theories

Karateev, Denis

doi:10.1007/jhep02(2022)186

Cited by 20 publications

(11 citation statements)

References 67 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…See for example appendix G in [24] for its derivation. The condition (2.15) can be seen as the definition of the physical mass.…”

Section: Basic Definitions and Notationmentioning

confidence: 99%

“…For the derivation of these relations and their analogues in higher dimensions see [23,24]. 10 Here we use the standard conventions for the central charge c U V in which the theory of a free scalar boson has c U V = 1.…”

Section: Basic Definitions and Notationmentioning

confidence: 99%

“…10 Here we use the standard conventions for the central charge c U V in which the theory of a free scalar boson has c U V = 1. For a summary of the standard conventions see for example the end of appendix A in [24]. 11 For the derivation and further discussion see also [52] and section 5 of [24].…”

Section: Basic Definitions and Notationmentioning

confidence: 99%

“…For a summary of the standard conventions see for example the end of appendix A in [24]. 11 For the derivation and further discussion see also [52] and section 5 of [24].…”

Section: Basic Definitions and Notationmentioning

confidence: 99%

“…The S-matrix bootstrap gained further attention in recent years, see [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. The recent work [23,24] made a concrete proposal for how to extended the S-matrix bootstrap to accommodate form factors and spectral densities. We will refer to this approach as the numerical S-matrix/form factor bootstrap.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Bootstrapping 2d $ϕ^4$ Theory with Hamiltonian Truncation Data

Chen,

Fitzpatrick,

Karateev

2021

Preprint

Self Cite

View full text Add to dashboard Cite

We combine the methods of Hamiltonian Truncation and the recently proposed generalisation of the S-matrix bootstrap that includes local operators to determine the two-particle scattering amplitude and the two-particle form factor of the stress tensor at s > 0 in the 2d φ 4 theory. We use the form factor of the stress tensor at s ≤ 0 and its spectral density computed using Lightcone Conformal Truncation (LCT), and inject them into the generalized S-matrix bootstrap set-up. The obtained results for the scattering amplitude and the form factor are fully reliable only in the elastic regime. We independently construct the "pure" S-matrix bootstrap bounds (bootstrap without including matrix elements of local operators), and find that the sinh-Gordon model and its analytic continuation the "staircase model" saturate these bounds. Surprisingly, the φ 4 two-particle scattering amplitude also very nearly saturates these bounds, and moreover is extremely close to that of the sinh-Gordon/staircase model.

show abstract

“…See for example appendix G in [24] for its derivation. The condition (2.15) can be seen as the definition of the physical mass.…”

Section: Basic Definitions and Notationmentioning

confidence: 99%

Section: Basic Definitions and Notationmentioning

confidence: 99%

Section: Basic Definitions and Notationmentioning

confidence: 99%

“…For a summary of the standard conventions see for example the end of appendix A in [24]. 11 For the derivation and further discussion see also [52] and section 5 of [24].…”

Section: Basic Definitions and Notationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Bootstrapping 2d $ϕ^4$ Theory with Hamiltonian Truncation Data

Chen,

Fitzpatrick,

Karateev

2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

The O(N) monolith reloaded: sum rules and Form Factor Bootstrap

Córdova,

Correia,

Georgoudis

et al. 2024

J. High Energ. Phys.

View full text Add to dashboard Cite

We revisit the space of gapped quantum field theories with a global O(N) symmetry in two spacetime dimensions. Previous works using S-matrix bootstrap revealed a rich space in which integrable theories such as the non-linear sigma model appear at special points on the boundary, along with an abundance of unknown models hinting at a non conventional UV behaviour. We extend the S-matrix set-up by including into the bootstrap form factors and spectral functions for the stress-energy tensor and conserved O(N) currents. Sum rules allow us to put bounds on the central charges of the conformal field theory (CFT) in the UV. We find that a big portion of the boundary can only flow from CFTs with infinite central charges. We track this result down to a particular behaviour of the amplitudes in physical kinematics and discuss its physical implications.

show abstract

Gravity as a gapless phase and biform symmetries

Hinterbichler

Hofman

Joyce

et al. 2023

J. High Energ. Phys.

View full text Add to dashboard Cite

We study effective field theories (EFTs) enjoying (maximal) biform symmetries. These are defined by the presence of a conserved (electric) current that has the symmetries of a Young tableau with two columns of equal length. When these theories also have a topological (magnetic) biform current, its conservation law is anomalous. We go on to show that this mixed anomaly uniquely fixes the two-point function between the electric and magnetic currents. We then perform a Källén-Lehmann spectral decomposition of the current-current correlator, proving that there is a massless mode in the spectrum, whose masslessness is protected by the anomaly. Furthermore, the anomaly gives rise to a universal form of the EFT whose most relevant term — which resembles the linear Einstein action — dominates the infrared physics. As applications of this general formalism, we study the theories of a Galileon superfluid and linearized gravity. Thus, one can view the masslessness of the graviton as being protected by the anomalous biform symmetries. The associated EFT provides an organizing principle for gravity at low energies in terms of physical symmetries, and allows interactions consistent with linearized diffeomorphism invariance. These theories are not ultraviolet-complete — the relevant symmetries can be viewed as emergent — nor do they include the nonlinearities necessary to make them fully diffeomorphism invariant, so there is no contradiction with the expectation that quantum gravity cannot have any global symmetries.

show abstract

Two-point functions and bootstrap applications in quantum field theories

Cited by 20 publications

References 67 publications

Bootstrapping 2d $ϕ^4$ Theory with Hamiltonian Truncation Data

Bootstrapping 2d $ϕ^4$ Theory with Hamiltonian Truncation Data

The O(N) monolith reloaded: sum rules and Form Factor Bootstrap

Gravity as a gapless phase and biform symmetries

Contact Info

Product

Resources

About