SCALAR FIELD THEORY IN THE AdS/CFT CORRESPONDENCE: AN OPERATOR FORMULATION

2007 ◽  
Vol 22 (30) ◽  
pp. 2287-2295 ◽  
Author(s):  
G. A. KERIMOV
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Scalar Fields ◽  
De Sitter Space ◽  
De Sitter ◽  
Point Function ◽  
Scalar Field Theory ◽  
Arbitrary Mass ◽  
Boundary Limit ◽  
Operator Formulation

Starting with a scalar field theory in Euclidean anti-de Sitter space constructed in an earlier paper, we examine the boundary limit of the quantized bulk field. Our AdS/CFT correspondence is generally valid for interacting fields, and is illustrated by a treatment of three-point function for scalar fields of arbitrary mass.

FOUR-POINT FUNCTION OF THE SUPER-WZW MODEL ON THE SPHERE

1990 ◽  
Vol 05 (29) ◽  
pp. 2413-2422 ◽  
Author(s):  
KENICHIRO AOKI
Keyword(s):  
Field Theory ◽  
Correlation Function ◽  
Scalar Field ◽  
Explicit Expression ◽  
Point Function ◽  
Scalar Field Theory ◽  
Identical Structure ◽  
Point Correlation ◽  
Point Correlation Function ◽  
Background Charge

The superspace formulation of the super-WZW model is used to obtain an explicit expression for the four-point correlation function on the super-sphere given that of the Bose case, for general groups. The correlation function is compared with that of the free super-scalar field theory with background charge and is shown to have an identical structure for the case of SU(2).

scholarly journals The O(N ) model with ϕ6 potential in ℝ2 × ℝ+

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Christopher P. Herzog ◽  
Nozomu Kobayashi
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Stress Tensor ◽  
The Other ◽  
Three Dimensions ◽  
Planar Boundary ◽  
Point Function ◽  
Conformal Blocks ◽  
Boundary Limit ◽  
The Stability

Abstract We study the large N limit of O(N ) scalar field theory with classically marginal ϕ6 interaction in three dimensions in the presence of a planar boundary. This theory has an approximate conformal invariance at large N . We find different phases of the theory corresponding to different boundary conditions for the scalar field. Computing a one loop effective potential, we examine the stability of these different phases. The potential also allows us to determine a boundary anomaly coefficient in the trace of the stress tensor. We further compute the current and stress-tensor two point functions for the Dirichlet case and decompose them into boundary and bulk conformal blocks. The boundary limit of the stress tensor two point function allows us to compute the other boundary anomaly coefficient. Both anomaly coefficients depend on the approximately marginal ϕ6 coupling.

scholarly journals ONE-LOOP QUANTUM COSMOLOGICAL CORRECTION TO THE GRAVITATIONAL CONSTANT USING THE KINK SOLUTION IN DE SITTER UNIVERSE

2010 ◽  
Vol 25 (35) ◽  
pp. 2955-2971
Author(s):  
F. DARABI ◽  
S. JALALZADEH
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Cosmological Model ◽  
Gravitational Constant ◽  
Invariance Property ◽  
De Sitter ◽  
Scalar Field Theory ◽  
Shape Invariance ◽  
The One ◽  
De Sitter Universe

In this paper, we show the equivalence between a classical static scalar field theory and the (closed) de Sitter cosmological model whose potential represents shape invariance property. Based on this equivalence, we calculate the one-loop quantum cosmological correction to the ground state energy of the kink-like solution in the (closed) de Sitter cosmological model in which the fluctuation potential V′′ has a shape invariance property. It is shown that this type of correction, which yields a renormalized mass in the case of scalar field theory, may be interpreted as a renormalized gravitational constant in the case of (closed) de Sitter cosmological model.

EXCITED STATES OF DE SITTER SPACE SCALAR FIELDS: LATTICE SCHRÖDINGER PICTURE

2006 ◽  
Vol 21 (22) ◽  
pp. 1717-1725 ◽  
Author(s):  
JUNG-JENG HUANG
Keyword(s):  
Scalar Field ◽  
Excited States ◽  
Momentum Space ◽  
Scalar Fields ◽  
De Sitter Space ◽  
De Sitter ◽  
Minimal Coupling ◽  
Real Scalar ◽  
Schrödinger Picture

In lattice Schrödinger picture, the wave functionals of a free real scalar field in de Sitter space for the Bunch–Davies vacuum and the corresponding excited states are given explicitly in momentum space for the following coupling cases: (i) massless conformal couplng, (ii) massless minimal coupling, and (iii) massive minimal coupling. Implications of these solutions for inflationary scenarios in cosmology are also discussed.

Sign in / Sign up

Export Citation Format

Share Document