2024 Scalar propagators on ads space

Scalar propagators on ads space

Author: sbbm

August undefined, 2024

WebScalar field propagators in anti-de Sitter space-time Dullemond, C. ; van Beveren, E. Simple expressions are found for the retarded, advanced, and Feynman propagators, as well as several other auxiliary invariant functions, for scalar fields of arbitrary mass in anti-de Sitter space-time. Publication: Journal of Mathematical Physics Pub Date: WebPropagator 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 …

Scalar propagators on adS space INIS

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 … WebJan 30, 2013 · We apply this method to free scalar field theory in de Sitter space and obtain de Sitter invariant propagators in various coordinate patches. We show that the in-out propagator in the Poincare patch has a finite massless limit in a de Sitter invariant form. harvard university automobile engineering

The group approach to AdS space propagators - ScienceDirect

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, … 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 … Webthe AdS manifold and our lattice construction of AdS3. Section III details the Hamiltonian and Lagrangian formu-lation of ϕ4 theory on the lattice. Section IV focuses on the free theory, wherewe computevarious propagators directly to compare the lattice to the continuum and as a check of our Monte Carlo methods. Section V then uses these harvard university average test scores

Propagators in de Sitter space - ResearchGate

Hyperbolic lattice for scalar field theory in AdS

WebNon-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 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. … harvard university average gpa acceptanceWebFeb 22, 2024 · We discuss with, all necessary details, the boundary-bulk propaga-tors. We do it for a scalar field, with and without mass, for both. the Feynman and the Wheeler cases. Contrary to standard... harvard university average act

"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 … " - Scalar propagators on ads space

Scalar propagators on ads space

[hep-th/0307229] On the propagator of a scalar field in AdS x S an…

WebSimple expressions are found for the retarded, advanced, and Feynman propagators, as well as several other auxiliary invariant functions, for scalar fields of arbitrary mass in anti-de … 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 …

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http://www.quantumfieldtheory.info/dS_and_AdS_spaces.pdf 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 …

WebJun 24, 2024 · I was reading this article Scalar propagators on AdS Space by Harold Erbin, where the author attempts to find the classical solution of the massive scalar field in … WebWe 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 gives a physically reasonable …

Webof the conformal symmetry in the embedding Minkowski space has been used to simplify computations of, for example, conformal blocks and propagators in AdS [22{26]. The outline of the paper is as follows. In Section 2 we de ne and construct the massive and massless scalar wavefunctions that are conformal primaries of the Lorentz group SL(2;C). WebJan 30, 2013 · We apply this method to free scalar field theory in de Sitter space and obtain de Sitter invariant propagators in various coordinate patches. We show that the in-out propagator in the...

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 … harvard university aviationIn relativistic quantum mechanics and quantum field theory the propagators are Lorentz-invariant. They give the amplitude for a particle to travel between two spacetime points. In quantum field theory, the theory of a free (or non-interacting) scalar field is a useful and simple example which serves to illustrate the concepts needed for … harvard university average tuition yearlyhttp://www.lpthe.jussieu.fr/~erbin/files/ads_propagators.pdf harvard university b2pWebOct 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 … harvard university badmintonWeb(2.2) It is well-known that AdS–invariant functions, such as scalar propagators, are simply expressed [13] as functions of the chordal distance u, deﬁned by u = (z − w)2 2z 0w 0 (z −w)2= δ µν(z − w)µ(z − w)ν(2.3) A scalar ﬁeld of mass m2is characterized by two possible scale dimensions, namely the roots ∆±= d 2 ± 1 2 √ d2+4m2(2.4) 2 harvard university awardsWebpropagators 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. harvard university backpackWebScalar propagators on adS space Harold Erbin∗1 1SorbonneUniversités,UPMCUnivParis06,UMR7589,LPTHE,F-75005,Paris,France 1CNRS,UMR7589,LPTHE,F-75005,Paris,France January 29, 2014 Abstract … harvard university band