2024 Mellin conformal thesis

Mellin conformal thesis

Author: vgne

August undefined, 2024

WebIn this paper, we support this view using a representation of the conformal correlation functions that makes their scattering amplitude nature more transparent. We shall use the Mellin representation recently proposed by Mack in [8, 9].1The Euclidean correlator of primary scalar operators A(x i)=・ｿO 1(x 1) ...O n(x n)・ｿ , (1) can be written as A(x http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/451?show=full

A Mellin space approach to cosmological correlators

Web2 sep. 2016 · We propose a new approach towards analytically solving for the dynamical content of Conformal Field Theories (CFTs) using the bootstrap philosophy. This combines the original bootstrap idea of Polyakov with the modern technology of the Mellin representation of CFT amplitudes. Web25 jul. 2016 · We study conformal partial waves (CPWs) in Mellin space with totally symmetric external operators of arbitrary integer spin. The exchanged spin is arbitrary, and includes mixed symmetry and ... university place memory care

Crossing symmetry, transcendentality and the Regge behaviour

Webpendent conformal invariant cross-ratios that one can make using n points and the number of independent Mandelstam invariants of a n-particle scattering process. The … Web2 sep. 2016 · Abstract We propose a new approach towards analytically solving for the dynamical content of Conformal Field Theories (CFTs) using the bootstrap philosophy. … Web5 mei 2015 · Thus the Mellin space furnishes a spectral representation of n-point functions in conformal field theories. In this project, we have been able to derive the Mellin … university place hotel and conference

DataSpace: Bootstrapping M-theory - Princeton University

WebIn this thesis, we use the recently discovered conformal bootstrap technique to compute quantities in ABJM theory, and thus M-theory via the AdS/CFT correspondence. We begin by ... We then use the Mellin space formalism to … Web16 jan. 2024 · The Mellin-Barnes representation makes manifest the analytic structure of late-time correlators and, more generally, provides a convenient general d framework for … university place lafayette inWeb5 mei 2024 · We describe in more detail our approach to the conformal bootstrap which uses the Mellin representation of CFT d four point functions and expands them in terms … received photos from bluetooth

"Web16 feb. 2024 · In celestial holography, four-dimensional scattering amplitudes are considered as two-dimensional conformal correlators of a putative two-dimensional celestial conformal field theory (CCFT). The simplest way of converting momentum space amplitudes into CCFT correlators is by taking their Mellin transforms with respect to light-cone energies. For … " - Mellin conformal thesis

Mellin conformal thesis

Spinning Mellin Bootstrap: Conformal Partial Waves, Crossing …

Webcontains, in addition to the Euclidean symmetries, local conformal transformations, i.e. transformations that preserve angles but not lengths. The local conformal symmetry is of special importance in two dimensions since the corresponding symmetry algebra is inﬁnite-dimensional in this case. As a consequence, two-dimensional conformal ﬁeld Web12 apr. 2024 · However, the delta function for the momentum conservation has support in the soft and colinear regions, and contributes to the Mellin and shadow integrals that …

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Web28 sep. 2024 · On the Polyakov-Mellin bootstrap. We elaborate on some general aspects of the crossing symmetric approach of Polyakov to the conformal bootstrap, as recently formulated in Mellin space. This approach uses, as building blocks, Witten diagrams in AdS. We show the necessity for having contact Witten diagrams, in addition to the exchange … WebThe conformal partial wave expansion (CPWE) was first formulated in Mellin space by Mack 29 for external scalar operators. In this section we extend the formalism to include …

WebExploring Perturbative Conformal Field Theory in Mellin space, with A. Rudra, S. Sarkar and M. Verma (JHEP 01 (2024)102, arXiv:hep-th/ 1607.07334) Epsilon expansion in the Gross-Neveu Model from Conformal Field Theory, with S.Ghosh, R.Gupta and K. Jaswin (JHEP 03 (2016)174; arXiv: hep-th/1510.04887) WebThe Polyakov-Mellin bootstrap can be applied to various perturbative theories to derive analytical results purely from CFT arguments and successfully reproduce important …

WebGiven 4.3, we can study the crossing kernels of the - and -channel CPWs (4.1) into the -channel by expanding their expressions 4.3 in terms of the kinematic polynomials 3.43 in the Mellin variable s – which corresponds to an -channel conformal block expansion in Mellin space – and using the orthogonal projections derived in §3. 4.1.1 Equal ... WebA bstractWe generalize Regge theory to correlation functions in conformal field theories. This is done by exploring the analogy between Mellin amplitudes in AdS/CFT and S …

WebBy using conformal mapping method a boundary-value problem on a unit circle is obtained. Numerical examples of elliptic plates with different aspect ratios have been analysed and the results agreed well with those available in published literature and those calculated by ANSYS. 机译： ...

Web20 okt. 2024 · We extend the Mellin representation of conformal field theory (CFT) to allow for conformal boundaries and interfaces. We consider the simplest holographic setup … university place lions clubWebpole structure of the Mellin amplitude is related to the choice of basis and is tunable as such. After this preliminary analysis of the properties of the Mellin amplitude, we … university place hotel conference centerhttp://210.212.192.152:8080/jspui/bitstream/123456789/451/1/thesismain.pdf received pingreqWebTheses and Dissertations; bdr:320546; Techniques for computing scattering amplitudes: Mellin space, Inverse Soft Limit, Bonus Relations. Full Metadata Overview. Year: 2013 Contributor: Nandan, Dhritiman (creator) Volovich, Anastasia (Director) Jevicki, Antal (Reader) Tan ... university place laundromatWeb6 aug. 2024 · Perturbative Mellin representation readily follows. We discuss the main properties of nonperturbative CFT Mellin amplitudes: subtractions, analyticity, unitarity, Polyakov conditions and polynomial boundedness at infinity. Mellin amplitudes are particularly simple for large N CFTs and 2D rational CFTs. We discuss these examples … received picturesWeb15 dec. 2016 · We write down the conditions arising from the consistency between the operator product expansion and crossing symmetry in Mellin space. We solve the constraint equations to compute the anomalous dimension and the OPE coefficients of all operators quadratic in the fields in the epsilon expansion. received plaintextWebDoctoral Thesis, Zurich, ETH Zurich, 2024. external page: ... Even for non- dual-conformal integrals this novel symmetry persists. ... Finally, we elaborate on the close relation to … university place parcel search