Cusp anomalous dimension and rotating open strings in AdS/CFT

Espíndola, Ricardo; Garcı́a, J. Antonio

doi:10.1007/jhep03(2018)116

Cited by 5 publications

(13 citation statements)

References 39 publications

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“…The results presented in [2] were worked out using numerical methods. Analytic results that confirmed the numerical approach were obtained in [4]. The same two body bound-state spectrum can also be addressed using relativistic quantum mechanics with an enhanced symmetry [5].…”

Section: Jhep10(2018)153supporting

confidence: 60%

“…Here r is just a spatial coordinate, so the symmetry is reduced from SO(3, 1) to SO(3). Then, using the non-minimal coupling, we will enhance our symmetry to SO (4). It is clear that we can not have SO(3, 1) and SO(4) in the same description, then our approach keeps only SO (4).…”

Section: Jhep10(2018)153mentioning

confidence: 99%

“…Then, using the non-minimal coupling, we will enhance our symmetry to SO (4). It is clear that we can not have SO(3, 1) and SO(4) in the same description, then our approach keeps only SO (4). Of course, a good question is if we can have SO(4, 1) or, even better, the complete conformal symmetry SO(4, 2) by adding more degrees of freedom.…”

Section: Jhep10(2018)153mentioning

confidence: 99%

“…In this section we will show that the field equation (2.13) has an enhanced symmetry SO (4). For that end we start from the construction of the relativistic particle of mass m implementing the standard minimal coupling to a scalar potential followed by a nonminimal prescription suggested by equation (2.13).…”

Section: Relativistic Particle and Runge-lenz Vectormentioning

confidence: 99%

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Relativistic Runge-Lenz vector: from $$ \mathcal{N}=4 $$ SYM to SO(4) scalar field theory

Alvarez‐Jimenez

Cortese

Garcı́a

et al. 2018

J. High Energ. Phys.

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Starting from N = 4 SYM and using an appropriate Higgs mechanism we reconsider the construction of a scalar field theory non-minimally coupled to a Coulomb potential with a relativistic SO(4) symmetry and check for scalar field consistency conditions. This scalar field theory can also be obtained from a relativistic particle Lagrangian with a proper implementation of the non-minimal coupling. We provide the generalization of the non-relativistic construction of the Runge-Lenz vector to the relativistic case and show explicitly that this new vector generates the SO(4) algebra. Using the power of the SO(4) symmetry, we calculate the relativistic hydrogen atom spectrum. We provide a generalization of the Kustaanheimo-Stiefel transformation to the relativistic case and relate our results with the corresponding relativistic oscillator. Finally, in the light of these results, we reconsider the calculation of the hydrogen atom spectrum from the cusp anomalous dimension given in [2].

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Section: Jhep10(2018)153supporting

confidence: 60%

Section: Jhep10(2018)153mentioning

confidence: 99%

Section: Jhep10(2018)153mentioning

confidence: 99%

Section: Relativistic Particle and Runge-lenz Vectormentioning

confidence: 99%

See 2 more Smart Citations

Relativistic Runge-Lenz vector: from $$ \mathcal{N}=4 $$ SYM to SO(4) scalar field theory

Alvarez‐Jimenez

Cortese

Garcı́a

et al. 2018

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…This was used in [26] to obtain the 3-loop cusp anomalous dimension from the leading power in the Regge limit of the amplitude. It was used in the other direction in [12], to obtain the bound state spectrum of hydrogen-like states from the latter (and further analyzed at strong coupling [51]). Using the same map for the first subleading power, the subleading Regge trajectory j 1 , see eq.…”

Section: From the Regge Limit To Wilson Lines With A Cuspmentioning

confidence: 99%

Subleading Regge limit from a soft anomalous dimension

Brüser¹,

Caron-Huot

Henn

2018

J. High Energ. Phys.

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Wilson lines capture important features of scattering amplitudes, for example soft effects relevant for infrared divergences, and the Regge limit. Beyond the leading power approximation, corrections to the eikonal picture have to be taken into account. In this paper, we study such corrections in a model of massive scattering amplitudes in N = 4 super Yang-Mills, in the planar limit, where the mass is generated through a Higgs mechanism. Using known three-loop analytic expressions for the scattering amplitude, we find that the first power suppressed term has a very simple form, equal to a single power law. We propose that its exponent is governed by the anomalous dimension of a Wilson loop with a scalar inserted at the cusp, and we provide perturbative evidence for this proposal. We also analyze other limits of the amplitude and conjecture an exact formula for a total cross-section at high energies.

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Continued Functions and Perturbation Series: Simple Tools for Convergence of Diverging Series in O(n)-Symmetric $$\phi ^4$$ Field Theory at Weak Coupling Limit

Abhignan

Sankaranarayanan

2021

J Stat Phys

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We determine universal critical exponents that describe the continuous phase transitions in different dimensions of space. We use continued functions without any external unknown parameters to obtain analytic continuation for the recently derived 7-loop weak coupling ǫ-expansions from O(n)-symmetric φ 4 field theory. Employing a new blended continued function, we obtain critical exponent α = −0.0121( 22) for the phase transition of superfluid helium which matches closely with the most accurate experimental value. This result addresses the long-standing discrepancy between the theoretical predictions and precise experimental result of O(2) φ 4 model known as "λ-point specific heat experimental anomaly". Further we have also examined the applicability of such continued functions in other examples of field theories.

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Cusp anomalous dimension and rotating open strings in AdS/CFT

Cited by 5 publications

References 39 publications

Relativistic Runge-Lenz vector: from $$ \mathcal{N}=4 $$ SYM to SO(4) scalar field theory

Relativistic Runge-Lenz vector: from $$ \mathcal{N}=4 $$ SYM to SO(4) scalar field theory

Subleading Regge limit from a soft anomalous dimension

Continued Functions and Perturbation Series: Simple Tools for Convergence of Diverging Series in O(n)-Symmetric $$\phi ^4$$ Field Theory at Weak Coupling Limit

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