Scalar propagators on ads space

Author: lbbu

August undefined, 2024

WebSep 15, 2003 · Propagators of symmetric tensor fields in AdS are known for the ranks l=0 , l=1 , and l=2 , , . They have been derived from field equations and the requirement of a … WebA complex scalar ﬁeld has a similar propagator, but the correlation function involves one Φˆ ﬁeld and one Φˆ† ﬁeld, h0 TΦˆ†(x)Φ(ˆ y) 0i = h0 TΦ(ˆ x)Φˆ†(y) 0i = GF(x−y). hhsame GF as for a real scalarii (4) In these notes, I shall show that the propagator (1) is a Green’s function of the Klein–

arxiv.org

WebThe scalar Yukawa theory for a real scalar eld ˚of mass mand a complex scalar eld of mass Mhas a cubic interaction with real coupling constant gand the Lagrangian density L= 1 2 (@ ˚)(@ ˚) y 1 2 m 2˚ + (@ y)(@ ) M2 y + L int; L int = g (x) (x)˚(x): (1) The Feynman rules for scalar Yukawa theory of (1) Green functions in momentum space are ... WebPrepared for submission to JHEP Loops in AdS: From the Spectral Representation to Position Space II Dean Carmi Department of Mathematics and Physics University of Haifa at Oranim, desk with cabinets and drawers

Graviton and gauge boson propagators in AdS - CORE

WebJan 24, 2011 · We study the complex scalar loop corrections to the boundary-boundary gauge two-point function in pure AdS space in Poincare coordinates, in the presence of boundary quadratic perturbations to the scalar. These perturbations correspond to double-trace perturbations in the dual CFT and modify the boundary conditions of the bulk … WebIn this paper, we explore momentum space approach to computing scalar amplitudes in anti–de Sitter (AdS) space. We show that the algorithm derived by Arkani-Hamed, … WebWe discuss the scalar propagator on generic AdS d+1 × S d '+1 backgrounds. For the conformally flat situations and masses corresponding to Weyl invariant actions, the … chucks douglasville

Propagator for a general form field in AdS_ {d+ 1} space

WebThese quantities are described by quark- line connected diagrams, thus the numerical determination is straightforward and we obtain our results using propagators with wall-sources. In addition we determine the mass of the isosinglet scalar (0++ ) meson bound state which has the same quantum numbers as the Higgs boson. WebJun 20, 2005 · A detailed analysis of the structure and gauge dependence of the bulk-to-bulk propagators for the higher spin gauge fields in AdS space is performed. … chucks drive in kingsport tnWebpropagators for free scalar field theory. We now describe the most common ones. Position space The position space propagators are Green's functions for the Klein–Gordon equation. This means they are functions G(x,y) which satisfy where: are two points in Minkowski spacetime. is the d'Alembertian operator acting on the x coordinates. chucks drive in midwest city ok

"WebJun 20, 2024 · We describe how to systematically extract the holographic objects which compute higher-point global (scalar) conformal blocks in arbitrary spacetime dimensions, … " - Scalar propagators on ads space

Scalar propagators on ads space

Position-space representation of charged particles’ propagators in …

WebUsing the scalar field Schwinger-Keldysh bulk-to-boundary propagators, we give the general expressionmore » We then note that this particular prescription amounts to adapting the … WebOct 20, 2006 · The scalar loop graph contributing to the graviton mass in the two-AdS-space picture. The dashed lines are graviton propagators, and the solid lines are scalar …

Did you know?

WebWe shall also prove that the mass terms, appearing in matrix elements involving different numbers of zero-mode propagators, are indeed independent parameters that have to be fixed separately. We provide with the definitions of all such mass factors in terms of averages of the instanton ensembles and prove that they are nearly universal, i.e ... WebSep 23, 2002 · We note that the propagator in AdS space is known [3], and in principle one can try to extract the propagator in the pp-wave by starting with the propagators in AdS …

WebMay 2, 2024 · space that may be relevant for the famed AdS/CFT (Anti-de Sitter space/conformal field theory) correspondence, also known as holographic duality or gauge/gravity duality. 2 The Simplest Answer The simplest answer to whether our universe is curved or flat is this. In 4D (3 space and 1 time, often called 3+1 space), our universe is … WebThe Feynman’s propagator for a free real scalar field is a time-ordered correlation function of two scalar fields Φ(x) and Φ(y) in the vacuum state. GF(x − y) = 〈0 ˆTΦ(x)Φ(y) 0〉. (1.1) …

WebFeb 2, 2011 · To obtain a flow purely in terms of boundary correlation functions, we use the split representation [12, [84] [85] [86] [87] [88] [89] for the free propagator in AdS, … WebDec 10, 2024 · S. Raju, New Recursion Relations and a Flat Space Limit for AdS/CFT Correlators, Phys. Rev. D 85 (2012) 126009 [arXiv:1201.6449] . Article ADS Google Scholar …

WebMar 28, 1985 · Abstract. We calculate the propagator and one-loop effective potential for a scalar in an n -dimensional anti-de Sitter background. The computation is done by directly summing the modes appropriate to supersymmetric boundary conditions as well as by analytic continuation from the euclidean n -sphere. We show that the direct mode sum …

WebThis is intended to be a pedagogical review of scalar field propagator on adS space in view of adS/CFT correspondence. There no new results but instead it gathers ideas from the … chucks driving school carson city nvWebJun 5, 2024 · We compute a family of scalar loop diagrams in AdS. We use the spectral representation to derive various bulk vertex/propagator identities, and these identities … chucks drywall olive branchWebMar 3, 2024 · We have obtained propagators in the position space as an expansion over Landau levels for the charged scalar particle, fermion, and massive vector boson in a constant external magnetic field. chucks drive in salem ilWebNon-relativistic propagators. In non-relativistic quantum mechanics, the propagator gives the probability amplitude for a particle to travel from one spatial point (x') at one tim chucks drainsWebPropagator of a scalar in position space. In his lecture on Supersymmetry and Grand Unification, Leonard Susskind "derives" the propagator for a scalar field from dimensional … desk with cable managementWebOct 1, 2010 · The results for Feynman, retarded and advance propagators are well known in d = 2 and d = 4 dimensions, see for example [69] for the clean summary. The scalar Feynman propagator in general... desk with cable management holehttp://www.lpthe.jussieu.fr/~erbin/files/ads_propagators.pdf chucks ducts ormond beach