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Using the path integral approach, we discuss the correlation functions of the $SL(2,\bfC)/SU(2)$ WZW model, which corresponds to the string theory on the Euclidean $AdS_3$. We obtain the two- and three-point functions for generic primary…

高能物理 - 理论 · 物理学 2016-09-06 Nobuyuki Ishibashi , Kazumi Okuyama , Yuji Satoh

We compute one-loop correlation functions for the fluctuations of an interface using a field theory model. We obtain them from Feynman diagrams drawn with a propagator which is the inverse of the Hamiltonian of a Poschl-Teller problem. We…

高能物理 - 唯象学 · 物理学 2009-11-10 A. Bessa , C. A. A. de Carvalho , E. S. Fraga

We extend our previous work (on $D=2$) to give an exact solution of the $\Phi^3_D$ large-$\mathcal{N}$ matrix model (or renormalised Kontsevich model) in $D=4$ and $D=6$ dimensions. Induction proofs and the difficult combinatorics are…

数学物理 · 物理学 2017-06-05 Harald Grosse , Akifumi Sako , Raimar Wulkenhaar

We discuss, in terms of the AdS_3-CFT_2 correspondence, a one-parameter family of (asymptotically AdS_3) conical geometries which are generated by point masses and interpolate between AdS_3 and BTZ spacetimes. We show that these correspond…

高能物理 - 理论 · 物理学 2007-05-23 Justin R. David , Gautam Mandal , Sachindeo Vaidya , Spenta R. Wadia

We investigate the SL(2,R)/U(1) WZW model with level 0<k<2 as a solvable time-dependent background in string theory. This model is expected to be dual to the one describing a rolling closed string tachyon with a time-like linear dilaton. We…

高能物理 - 理论 · 物理学 2009-11-10 Yasuaki Hikida , Tadashi Takayanagi

For a scattering system $\{A_\Theta,A_0\}$ consisting of selfadjoint extensions $A_\Theta$ and $A_0$ of a symmetric operator $A$ with finite deficiency indices, the scattering matrix $\{S_\gT(\gl)\}$ and a spectral shift function…

数学物理 · 物理学 2014-02-26 Jussi Behrndt , Mark M. Malamud , Hagen Neidhardt

We conjecture a two-dimensional conformal field theory built out of a linear dilaton and a compact $\beta\gamma$ system deformed by winding condensates on each of the compact cycles. In particular, explicit expressions of the residues of…

高能物理 - 理论 · 物理学 2024-02-09 Indranil Halder , Daniel L. Jafferis

An extended two-hadron operator is developed to extract the spectra of irreducible representations (irreps) in the finite volume. The irreps of the group for the finite volume system are projected using a coordinate-space operator. The…

高能物理 - 格点 · 物理学 2022-05-04 Jia-Jun Wu , Waseem Kamleh , Derek B. Leinweber , Yan Li , Gerrit Schierholz , Ross D. Young , James M. Zanotti

This paper presents an evaluation of the wave function coefficients for conformally coupled scalars at both one and two-loop levels at leading order in the coupling constant, in momentum space. We take cues from time-dependent interactions…

高能物理 - 理论 · 物理学 2025-03-06 Chandramouli Chowdhury , Kajal Singh

We perform a spectral decomposition of the dynamical correlation function of the spin $1/2$ XXZ model into an infinite sum of products of form factors. Beneath the four-particle threshold in momentum space the only non-zero contributions to…

高能物理 - 理论 · 物理学 2009-09-25 Robert A. Weston , A. H. Bougourzi

We provide two methods to characterize the connectedness of all $d$-dimensional generalized Sierpi\'nski sponges whose corresponding IFSs are allowed to have rotational and reflectional components. Our approach is to reduce it to an…

一般拓扑 · 数学 2025-01-10 Huo-Jun Ruan , Jian-Ci Xiao

In two-dimensional lattice fermion model a determinant representation for the two-point correlation function of the twist field in the disorder phase is obtained. This field is defined by twisted boundary conditions for lattice fermion…

高能物理 - 理论 · 物理学 2007-05-23 Anatolij I. Bugrij , Vitalij N. Shadura

We introduce the analytic superspace formalism for six-dimensional $(N,0)$ superconformal field theories. Concentrating on the $(2,0)$ theory we write down the Ward identities for correlation functions in the theory and show how to solve…

高能物理 - 理论 · 物理学 2010-02-03 P. J. Heslop

We consider the inverse scattering problem associated with any number of interacting modes in one-dimensional structures. The coupling between the modes is contradirectional in addition to codirectional, and may be distributed continuously…

数学物理 · 物理学 2011-11-10 Ole Henrik Waagaard , Johannes Skaar

We apply the AdS/CFT correspondence to derive expressions for the scattering amplitudes at high energy for gauge theories at strong coupling. A method is proposed based on the computation of correlators of Wilson loop operators by their…

高能物理 - 唯象学 · 物理学 2007-05-23 R. Peschanski

We study the renormalization group flow equations for correlation functions of weakly coupled quantum field theories in AdS. Taking the limit where the external points approach the conformal boundary, we obtain a flow of conformally…

高能物理 - 理论 · 物理学 2022-09-27 Markus B. Fröb

We compute the tree-level connected six-point function of identical scalar fluctuations of the AdS$_2$ string worldsheet dual to the half-BPS Wilson line in planar ${\cal N}=4$ Super Yang-Mills. The calculation can be carried out…

高能物理 - 理论 · 物理学 2023-08-22 Simone Giombi , Shota Komatsu , Bendeguz Offertaler , Jieru Shan

We study the correlators of two circular Wilson loops of different radii at strong coupling. In our setup one Wilson loop is located inside the other. We use holography to calculate the connected two-point function. Both an AdS background…

高能物理 - 理论 · 物理学 2013-10-16 Adi Armoni , Maurizio Piai , Ali Teimouri

We study the potential of all-electrical inductive techniques for the spectroscopy of propagating forward volume spin waves. We develop a one-dimensional model to account for the electrical signature of spin-wave reflection and transmission…

介观与纳米尺度物理 · 物理学 2020-11-18 M. Sushruth , M. Grassi , K. Ait-Oukaci , D. Stoeffler , Y. Henry , D. Lacour , M. Hehn , U Bhaskar , M. Bailleul , T. Devolder , J. -P. Adam

We discuss the role of singletons and logarithmic operators in AdS_3 string theory in the context of AdS_3/CFT_2 correspondence.

高能物理 - 理论 · 物理学 2008-11-26 Sanjay