scholarly journals Renormalization group for nonrenormalizable theories: Einstein gravity with a scalar field

1993 ◽  
Vol 48 (8) ◽  
pp. 3677-3694 ◽  
Author(s):  
A. O. Barvinsky ◽  
A. Yu. Kamenshchik ◽  
I. P. Karmazin
Keyword(s):  
Renormalization Group ◽  
Scalar Field ◽  
Einstein Gravity

scholarly journals Monte Carlo and renormalization-group effective potentials in scalar field theories

1995 ◽  
Vol 51 (12) ◽  
pp. 7017-7025 ◽  
Author(s):  
J. R. Shepard ◽  
V. Dmitrašinović ◽  
J. A. McNeil
Keyword(s):  
Monte Carlo ◽  
Renormalization Group ◽  
Scalar Field ◽  
Field Theories ◽  
Effective Potentials

scholarly journals A bulk localized state and new holographic renormalization group flow in 3D spin-3 gravity

2018 ◽  
Vol 33 (12) ◽  
pp. 1850061 ◽  
Author(s):  
Ryuichi Nakayama ◽  
Tomotaka Suzuki
Keyword(s):  
Renormalization Group ◽  
Scalar Field ◽  
Central Charge ◽  
Dimensional Space ◽  
Space Time ◽  
Internal Space ◽  
Conformal Weight ◽  
Weight Changes ◽  
Localized State ◽  
Bulk Space

We construct a localized state of a scalar field in 3D spin-3 gravity. 3D spin-3 gravity is thought to be holographically dual to [Formula: see text]-extended CFT on a boundary at infinity. It is known that while [Formula: see text] algebra is a nonlinear algebra, in the limit of large central charge [Formula: see text] a linear finite-dimensional subalgebra generated by [Formula: see text] [Formula: see text] and [Formula: see text] [Formula: see text] is singled out. The localized state is constructed in terms of these generators. To write down an equation of motion for a scalar field which is satisfied by this localized state, it is necessary to introduce new variables for an internal space [Formula: see text], [Formula: see text], [Formula: see text], in addition to ordinary coordinates [Formula: see text] and [Formula: see text]. The higher-dimensional space, which combines the bulk space–time with the “internal space,” which is an analog of superspace in supersymmetric theory, is introduced. The “physical bulk space–time” is a 3D hypersurface with constant [Formula: see text], [Formula: see text] and [Formula: see text] embedded in this space. We will work in Poincaré coordinates of AdS space and consider [Formula: see text]-quasi-primary operators [Formula: see text] with a conformal weight [Formula: see text] in the boundary and study two and three point functions of [Formula: see text]-quasi-primary operators transformed as [Formula: see text]. Here, [Formula: see text] and [Formula: see text] are [Formula: see text] generators in the hyperbolic basis for Poincaré coordinates. It is shown that in the [Formula: see text] limit, the conformal weight changes to a new value [Formula: see text]. This may be regarded as a Renormalization Group (RG) flow. It is argued that this RG flow will be triggered by terms [Formula: see text] added to the action.

scholarly journals Asymptotic Padé-approximant predictions for renormalization-group functions of massive φ4 scalar field theory

1999 ◽  
Vol 446 (3-4) ◽  
pp. 267-271 ◽  
Author(s):  
F. Chishtie ◽  
V. Elias ◽  
T.G. Steele
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Scalar Field ◽  
Padé Approximant ◽  
Scalar Field Theory ◽  
Pade Approximant ◽  
Group Functions

Exact solutions of Einstein gravity coupled to a scalar field with arbitrary potential

1991 ◽  
Vol 44 (4) ◽  
pp. 1115-1119 ◽  
Author(s):  
Mariano Cadoni
Keyword(s):  
Scalar Field ◽  
Exact Solutions ◽  
Einstein Gravity ◽  
Arbitrary Potential

scholarly journals Nutty black holes in Galileon scalar-tensor gravity

2018 ◽  
Vol 33 (32) ◽  
pp. 1850189 ◽  
Author(s):  
A. Brandelet ◽  
Y. Brihaye ◽  
T. Delsate ◽  
L. Ducobu
Keyword(s):  
Black Holes ◽  
Scalar Field ◽  
Einstein Gravity ◽  
Parameter Family ◽  
Hairy Black Holes ◽  
Two Parameter ◽  
Bonnet Term

Einstein gravity supplemented by a scalar field nonminimally coupled to a Gauss–Bonnet term provides an example of model of scalar-tensor gravity where hairy black holes do exist. We consider the classical equations within a metric endowed with a NUT-charge and obtain a two-parameter family of nutty-hairy black holes. The pattern of these solutions in the exterior and the interior of their horizon is studied in some details. The influence of both — the hairs and the NUT-charge — on the lightlike and timelike geodesics is emphasized.

A study of dynamical equations for non-minimally coupled scalar field using Noether symmetric approach

2016 ◽  
Vol 31 (19) ◽  
pp. 1650116 ◽  
Author(s):  
Sourav Dutta ◽  
Madan Mohan Panja ◽  
Subenoy Chakraborty
Keyword(s):  
Scalar Field ◽  
Infinitesimal Generator ◽  
Einstein Gravity ◽  
Matter Content ◽  
The Self ◽  
Noether Symmetry ◽  
Dynamical Equations ◽  
Augmented Space ◽  
Constants Of Motion ◽  
Scalar Field Cosmology

Non-minimally coupled scalar field cosmology has been studied in this work within the framework of Einstein gravity. In the background of homogeneous and isotropic Friedmann–Lemaitre–Robertson–Walker (FLRW) spacetime non-minimally coupled scalar field having self-interacting potential is taken as the source of the matter content. The constraint of imposing Noether symmetry on the Lagrangian of the system not only determines the infinitesimal generator (the symmetry vector) but also the coupling function and the self-interacting potential for the scalar field. By choosing appropriately a point transformation in the augmented space, one of the transformed variables is cyclic for the Lagrangian. Finally, using constants of motion, the solutions are analyzed.

scholarly journals OSCILLATING INSTANTONS AS HOMOGENEOUS TUNNELING CHANNELS

2013 ◽  
Vol 28 (18) ◽  
pp. 1350082 ◽  
Author(s):  
BUM-HOON LEE ◽  
WONWOO LEE ◽  
DONG-HAN YEOM
Keyword(s):  
Scalar Field ◽  
Local Minimum ◽  
Local Maximum ◽  
Einstein Gravity ◽  
Scale Factor ◽  
The Other ◽  
Vacuum Decay ◽  
General Vacuum

In this paper, we study Einstein gravity with a minimally coupled scalar field accompanied with a potential, assuming an O(4) symmetric metric ansatz. We call an Euclidean instanton is to be an oscillating instanton, if there exists a point where the derivative of the scale factor and the scalar field vanish at the same time. Then, we can prove that the oscillating instanton can be analytically continued, both as inhomogeneous and homogeneous tunneling channels. Here, we especially focus on the possibility of a homogeneous tunneling channel. For the existence of such an instanton, we have to assume three things: (1) there should be a local maximum and the curvature of the maximum should be sufficiently large, (2) there should be a local minimum and (3) the other side of the potential should have a sufficiently deeper vacuum. Then, we can show that there exists a number of oscillating instanton solutions and their probabilities are higher compared to the Hawking–Moss instantons. We also check the possibility when the oscillating instantons are comparable with the Coleman–de Luccia channels. Thus, for a general vacuum decay problem, we should not ignore the oscillating instanton channels.

scholarly journals Advection of a passive scalar field by turbulent compressible fluid: renormalization group analysis neard= 4

2017 ◽  
Vol 137 ◽  
pp. 10003 ◽  
Author(s):  
N. V. Antonov ◽  
N. M. Gulitskiy ◽  
M. M. Kostenko ◽  
T. Lučivjanský
Keyword(s):  
Renormalization Group ◽  
Scalar Field ◽  
Compressible Fluid ◽  
Group Analysis ◽  
Passive Scalar ◽  
Renormalization Group Analysis

A generating technique for Einstein gravity conformally coupled to a scalar field with Higgs potential

1992 ◽  
Vol 33 (1) ◽  
pp. 273-277 ◽  
Author(s):  
Dmitry V. Gal’tsov ◽  
Basilis C. Xanthopoulos
Keyword(s):  
Scalar Field ◽  
Einstein Gravity ◽  
Higgs Potential
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