Exact computation of one-loop correction to the energy of folded spinning string in AdS5×S5

Beccaria, Matteo; Dunne, Gerald V.; Форини, Валентина; Pawellek, Michael; Tseytlin, Arkady A.

doi:10.1088/1751-8113/43/16/165402

Cited by 56 publications

(179 citation statements)

References 66 publications

(172 reference statements)

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“…We now show that all the obtained one-dimensional spectral problems can be put in standard 1-gap Lamé form (see for instance the detailed discussion in [5]). This is important and means that all their relevant properties can be worked out exactly.…”

Section: Fluctuation Operators In Lamé Formmentioning

confidence: 76%

“…They can be decoupled by exploiting the Virasoro constraints. An alternative equivalent approach is based on the static gauge (see for instance [5]). The conformal gauge fluctuations in AdS 5 describe a free massless ghost field and four free massive fields with mass κ.…”

Section: Quadratic Fluctuations Around the Pulsating Backgroundmentioning

confidence: 99%

“…The general fermionic fluctuation Lagrangian can be found, e.g., in [12,5]. Fixing κ symmetry as usual with θ 1 = θ 2 , and after some standard manipulation, we can write the (squared) fermionic fluctuation operators for both chiralities as…”

Section: Quadratic Fluctuations Around the Pulsating Backgroundmentioning

confidence: 99%

“…In the case of a string which is folded in AdS 5 and rotates around its center, the one-loop energy correction is related to the functional determinant of these operators. They can be computed exactly since a reduction to Lamé integrable one-dimensional spectral problems is possible [5]. A major simplification of the folded string case is that, on physical grounds, one expect to find a reference frame where the fluctuation problem is static.…”

Section: Introductionmentioning

confidence: 99%

“…where √ λ 2π is string tension, and K and E are the usual elliptic functions [11,5]. The expansion of N for small κ gives…”

Section: Introductionmentioning

confidence: 99%

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Semiclassical short strings in AdS5 × S 5

Beccaria¹,

Macorini²,

Tirziu³

2011

Theor Math Phys

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We present results for the one-loop correction to the energy of a class of string solutions in AdS 5 × S 5 in the short string limit. The computation is based on the observation that, as for rigid spinning string elliptic solutions, the fluctuation operators can be put into the single-gap Lamé form. Our computation reveals a remarkable universality of the form of the energy of short semiclassical strings. This may help to understand better the structure of the strong coupling expansion of the anomalous dimensions of dual gauge theory operators.

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Section: Fluctuation Operators In Lamé Formmentioning

confidence: 76%

Section: Quadratic Fluctuations Around the Pulsating Backgroundmentioning

confidence: 99%

Section: Quadratic Fluctuations Around the Pulsating Backgroundmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…where √ λ 2π is string tension, and K and E are the usual elliptic functions [11,5]. The expansion of N for small κ gives…”

Section: Introductionmentioning

confidence: 99%

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Semiclassical short strings in AdS5 × S 5

Beccaria¹,

Macorini²,

Tirziu³

2011

Theor Math Phys

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Generalized quark‐antiquark potential in AdS/CFT

Форини

Drukker

2012

Fortschritte der Physik

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Key words AdS/CFT correspondence, supersymmetric gauge theory.In this talk we present a family of Wilson loop operators which continuously interpolates between the 1/2 BPS line and the antiparallel lines, and can be thought of as calculating a generalization of the quarkantiquark potential for the gauge theory on S 3 × R. We evaluate the first two orders of these loops perturbatively both in the gauge and string theory. We obtain analytical expressions in a systematic expansion around the 1/2 BPS configuration, and comment on possible all-loop patterns for these Wilson loops.Copyright line will be provided by the publisher OverviewOne of the most fundamental observables in a quantum field theory is the potential between charged particles, which in a gauge theory is captured by a long rectangular Wilson loop, or a pair of antiparallel lines representing the trajectories of infinitely heavy quarks. Such quark-antiquark potential can be also considered in the maximally supersymmetric N = 4 SYM theory, where "quarks" are modeled by infinitely massive W-bosons arising from a Higgs mechanism [1].The expectation value of this observable was calculated very early after the introduction of the AdS/CFT correspondence by the effective action of a string ending along the curve on the four-dimensional AdS boundary, and is in fact a seminal example of the duality itself. In this context of a conformal field theory the potential is fixed to be Coulomb-like and the whole dynamical content is in the corresponding coefficient, for which the weak and strong coupling ('t Hooft coupling λ) previously obtained results readAbove, L is the distance between the lines, K is the complete elliptic integral of the first kind and the weakcoupling expansion is the field-theoretical calculation of [2,3,4]. On the string theory (strong coupling) side, the question of evaluating the first quantum string correction a 1 to the classical result of [1] 1 is a hard mathematical problem. The absence of parameters in the problem (the only one, L, being fixed by conformal invariance) precludes considering special scaling limits in which nice results in σ-model perturbation theory have been obtained for some relevant string solutions (see, for example, [6,7] and reference therein). The coefficient a 1 was presented formally in [8,9], evaluated numerically in [10] to be a 1 = 1.33459 and simplified further in [11] to an analytic one-dimensional integral representation. * Corresponding author vforini@icc.ub.edu * * nadav.drukker@kcl.ac.uk 1 This is actually the AdS 5 ×S 5 counterpart of the so-called "Lüscher term", which in flat space is a coulombic term proportional to the number of transverse dimensions [5].

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Perturbative and Non-perturbative Approaches to String Sigma-Models in AdS/CFT

Vescovi

2017

Springer Theses

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Exact computation of one-loop correction to the energy of folded spinning string in AdS₅×S⁵

Cited by 56 publications

References 66 publications

Semiclassical short strings in AdS5 × S 5

Semiclassical short strings in AdS5 × S 5

Generalized quark‐antiquark potential in AdS/CFT

Perturbative and Non-perturbative Approaches to String Sigma-Models in AdS/CFT

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