Vacuum expectation value of twist fields

Belitsky, Andrei

doi:10.1103/physrevd.96.066026

Cited by 11 publications

(17 citation statements)

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“…Currently, this correspondence has been widely tested both at weak and strong coupling, so that it can be considered a well-established fact.In any conformal quantum field theory, the Operator Product Expansion (OPE) technique can be applied, besides to the usual product of local operators, also to the null polygonal Wilson loops [22]. This method has an intrinsic non-perturbative nature and recalls the Form Factor (FF) Infra-Red (IR) spectral series of the correlation functions in integrable quantum field theories, where the operator is a specific conical twist field [23,24,25,26,27,28]. The OPE series was developed for the Wls in N = 4 SYM by employing the underlying integrability of the theory, which manifests itself in the flux-tube, dual to the Gubser, Klebanov and Polyakov (GKP) [29] string.…”

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confidence: 99%

Fermions and scalars in N=4 Wilson loops at strong coupling and beyond

et al. 2019

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We study the strong coupling behaviour of null polygonal Wilson loops/gluon amplitudes in N = 4 SYM, by using the OPE series and its integrability features. For the hexagon we disentangle the SU (4) matrix structure of the form factors for fermions, organising them in a pattern similar to the Young diagrams used previously for the scalar sector [1,2]. Then, we complete and extend the discussion of [3] by showing, at strong coupling, the appearance of a new effective particle in the series: the fermion-antifermion bound state, the so-called meson. We discuss its interactions in the OPE series with itself by forming (effective) bound states and with the gluons and bound states of them. These lead the OPE series to the known AdS 5 minimal area result for the Wls, described in terms of a set of TBA-like equations. This approach allows us to detect all the one-loop contributions and, once the meson has formed, applies to N = 2 Nekrasov partition function via the parallel meson/instanton (in particular, they share the mechanism by which their bound states emerge and form the TBA node). Finally, to complete the strong coupling analysis, we consider the scalar sector for any polygon, confirming the emergence of a leading contribution from the non-perturbative theory on the sphere S 5In the realm of the supersymmetric gauge theories a special role is played by N = 4 Super Yang-Mills (SYM), with gauge group SU (N c ) and dimensionless coupling constant g Y M . The theory indeed appears at one side of the most known example of AdS/CFT correspondence [4,5,6], i.e. the duality between type IIB superstring theory on AdS 5 × S 5 and N = 4 SYM on the boundary of AdS 5 , the 4d Minkowski spacetime.Of particular interest is the planar limit N c → ∞, in which we also send g Y M → 0 keeping the 't Hooft coupling λ ≡ N c g 2 Y M fixed. The new coupling λ is the only parameter of the planar theory and in literature it is often represented as λ = 16π 2 g 2 . The planar N = 4 SYM shows remarkable connections with 1+1 dimensional integrable models [7,8,9,10,11,12,13,14,15,16,17,18], which have allowed a better comprehension and partial proof of the aforementioned correspondence.Historically, integrability was discovered when dealing with the spectral problem, i.e. the computation of the anomalous dimension of local gauge invariant operators. More recently, it played an important role also in the evaluation of null polygonal Wilson loops (Wls). They have been proposed to be dual to gluon scattering amplitudes [19,20,21], which makes them even more interesting. Currently, this correspondence has been widely tested both at weak and strong coupling, so that it can be considered a well-established fact.In any conformal quantum field theory, the Operator Product Expansion (OPE) technique can be applied, besides to the usual product of local operators, also to the null polygonal Wilson loops [22]. This method has an intrinsic non-perturbative nature and recalls the Form Factor (FF) Infra-Red (IR) spectral series of the correlation functions in ...

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Fermions and scalars in N=4 Wilson loops at strong coupling and beyond

et al. 2019

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“…In complete analogy to the massless case, discussed in Ref. [29], the double product develops (M ε) −α 2 dependence on ultraviolet cutoff completing the exponent of the M -dependence to the conformal dimension of the scalar twist field h α . The resulting functional dependence on the parameter M ε is in agreement with previous studies, where the logarithmic corrections due to conformal symmetry breaking by mass perturbations were observed from analyses of Painlevé equation [20,50,51], form factor resummation [43] and angular quantization [44].…”

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confidence: 92%

“…It is regular in the vicinity of s = 0. Recently, this technique was used to compute the vacuum expectation value of twist fields on a disk [29] and explicit normalization coefficient naturally arises from that calculation. In the next two section, we extend the corresponding consideration to two-point functions.…”

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Spectral determinants for twist field correlators

Belitsky

2018

Phys. Rev. D

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Twist fields were introduced a few decades ago as a quantum counterpart to classical kink configurations and disorder variables in low dimensional field theories. In recent years they received a new incarnation within the framework of geometric entropy and strong coupling limit of four-dimensional scattering amplitudes. In this paper, we study their two-point correlation functions in a free massless scalar theory, namely, twist-twist and twist-antitwist correlators. In spite of the simplicity of the model in question, the properties of the latter are far from being trivial. The problem is reduced, within the formalism of the path integral, to the study of spectral determinants on surfaces with conical points, which are then computed exactly making use of the zeta function regularization. We also provide an insight into twist correlators for a massive complex scalar by means of the Lifshitz-Krein trace formula.

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“…The cartridge 2SB SIS mixer assemblies for both polarizations have been replaced by the latest version with modifications of the 2SB SIS mixers and IF hybrid assembly used for the full ALMA Band 5 production project, e.g., a slightly extended RF band down to 158 GHz that allows to avoid the "wings" of the 183 GHz water line when observing with the upper sideband (Belitsky et al 2017). In Figure 4, the picture of the modified ALMA Band 5 pre-production cartridge is shown along with the noise temperature and sideband rejection ratio performance for both polarizations performed in the lab keeping the SIS mixers at 4K physical temperature.…”

Section: Sepia Alma Band 5 Receiver Channelmentioning

confidence: 99%

SEPIA – a new single pixel receiver at the APEX telescope

Belitsky

Lapkin

Fredrixon

et al. 2018

A&A

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Context. We describe the new SEPIA (Swedish-ESO PI Instrument for APEX) receiver, which was designed and built by GARD OSO in collaboration with ESO. It was installed and commissioned at the APEX telescope during 2015 with an ALMA Band 5 receiver channel and updated with a new frequency channel (ALMA Band 9) in February 2016. Aims. This manuscript provides a reference for observers who use the SEPIA receiver in terms of the hardware description, optics and performance as well as the commissioning results. Methods. Out of three available receiver cartridge positions in SEPIA, the two current frequency channels, corresponding to ALMA Band 5, the RF band 158-211 GHz, and Band 9, the RF band 600-722 GHz, provide state-of-the-art dual polarization receivers. The Band 5 frequency channel uses 2SB SIS mixers with an average SSB noise temperature around 45 K with IF (intermediate frequency) band 4-8 GHz for each sideband providing total 4 × 4 GHz IF band. The Band 9 frequency channel uses DSB SIS mixers with a noise temperature of 75-125 K with IF band 4-12 GHz for each polarization.Results. Both current SEPIA receiver channels are available to all APEX observers.

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Vacuum expectation value of twist fields

Cited by 11 publications

References 55 publications

Fermions and scalars in N=4 Wilson loops at strong coupling and beyond

Fermions and scalars in N=4 Wilson loops at strong coupling and beyond

Spectral determinants for twist field correlators

SEPIA – a new single pixel receiver at the APEX telescope

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