scholarly journals On entanglement entropy functionals in higher-derivative gravity theories

2014 ◽  
Vol 2014 (10) ◽  
Author(s):  
Arpan Bhattacharyya ◽  
Menika Sharma
Keyword(s):  
Entanglement Entropy ◽  
Entropy Functionals ◽  
Higher Derivative ◽  
Gravity Theories

scholarly journals Holographic entanglement entropy, field redefinition invariance, and higher derivative gravity theories

2016 ◽  
Vol 94 (4) ◽  
Author(s):  
M. R. Mohammadi Mozaffar ◽  
A. Mollabashi ◽  
M. M. Sheikh-Jabbari ◽  
M. H. Vahidinia
Keyword(s):  
Entanglement Entropy ◽  
Holographic Entanglement Entropy ◽  
Higher Derivative ◽  
Gravity Theories ◽  
Field Redefinition

scholarly journals ASYMPTOTIC SAFETY IN HIGHER-DERIVATIVE GRAVITY

2009 ◽  
Vol 24 (28) ◽  
pp. 2233-2241 ◽  
Author(s):  
DARIO BENEDETTI ◽  
PEDRO F. MACHADO ◽  
FRANK SAUERESSIG
Keyword(s):  
Fixed Point ◽  
Renormalization Group ◽  
Renormalization Group Flow ◽  
Functional Renormalization Group ◽  
Asymptotic Safety ◽  
Higher Derivative ◽  
Gravity Theories ◽  
Group Flow ◽  
Nonperturbative Renormalization

We study the nonperturbative renormalization group flow of higher-derivative gravity employing functional renormalization group techniques. The nonperturbative contributions to the β-functions shift the known perturbative ultraviolet fixed point into a nontrivial fixed point with three UV-attractive and one UV-repulsive eigendirections, consistent with the asymptotic safety conjecture of gravity. The implication of this transition on the unitarity problem, typically haunting higher-derivative gravity theories, is discussed.

scholarly journals AdS backgrounds and induced gravity

2019 ◽  
Vol 34 (38) ◽  
pp. 2050057
Author(s):  
Hai Lin ◽  
Gaurav Narain
Keyword(s):  
Scalar Field ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Equation Of Motion ◽  
Induced Gravity ◽  
Expectation Value ◽  
Higher Derivative ◽  
Gravity Theories ◽  
Fluctuation Fields ◽  
Ads Geometry

In this paper, we look for AdS solutions to generalized gravity theories in the bulk in various spacetime dimensions. The bulk gravity action includes the action of a non-minimally coupled scalar field with gravity, and a higher-derivative action of gravity. The usual Einstein–Hilbert gravity is induced when the scalar acquires a nonzero vacuum expectation value. The equation of motion in the bulk shows scenarios where AdS geometry emerges on-shell. We further obtain the action of the fluctuation fields on the background at quadratic and cubic orders.

Renormalization and unitarity in higher derivative and nonlocal gravity theories

2015 ◽  
Vol 30 (03n04) ◽  
pp. 1540005 ◽  
Author(s):  
E. T. Tomboulis
Keyword(s):  
Quantum Gravity ◽  
Fixed Points ◽  
Fourth Order ◽  
Entire Functions ◽  
Gravitational Action ◽  
Asymptotic Safety ◽  
Higher Derivative ◽  
Fixed Order ◽  
Gravity Theories

We review and discuss higher derivative and nonlocal theories of quantum gravity focusing on their UV and unitarity properties. We first consider the general fourth-order gravitational action, then actions containing derivatives up to any given fixed order, and discuss their UV divergences, fixed points and concomitant unitarity issues. This leads to a more general discussion of "asymptotic safety" and unitarity, which motivates the introduction of nonlocal theories containing derivatives to all orders arising from the expansion of entire functions. For such theories good UV behavior is visible at any finite truncation, but unitarity emerges only when derivatives to all orders are included.

scholarly journals Warped AdS3 black holes in higher derivative gravity theories

2016 ◽  
Vol 2016 (6) ◽  
Author(s):  
Stéphane Detournay ◽  
Laure-Anne Douxchamps ◽  
Gim Seng Ng ◽  
Céline Zwikel
Keyword(s):  
Black Holes ◽  
Higher Derivative ◽  
Gravity Theories

scholarly journals Weak Minimal Area in Entanglement Entropy

2015 ◽  
Vol 2015 ◽  
pp. 1-11
Author(s):  
Shesansu Sekhar Pal ◽  
Shubhalaxmi Rath
Keyword(s):  
Black Hole ◽  
Upper Bound ◽  
Entanglement Entropy ◽  
Necessary Condition ◽  
Minimality Condition ◽  
Higher Derivative ◽  
Entropy Functional ◽  
Derivative Term ◽  
Weak Minimality ◽  
Minimal Area

We revisit the minimal area condition of Ryu-Takayanagi in the holographic calculation of the entanglement entropy, in particular, the Legendre test and the Jacobi test. The necessary condition for the weak minimality is checked via Legendre test and its sufficient nature via Jacobi test. We show for AdS black hole with a strip type entangling region that it is this minimality condition that makes the hypersurface unable to cross the horizon, which is in agreement with that studied earlier by Engelhardt et al. and Hubeny using a different approach. Moreover, demanding the weak minimality condition on the entanglement entropy functional with the higher derivative term puts a constraint on the Gauss-Bonnet coupling; that is, there should be an upper bound on the value of the coupling,λa<(d-3)/4(d-1).

scholarly journals Chaotic inflation in higher derivative gravity theories

2015 ◽  
Vol 75 (3) ◽  
Author(s):  
Shynaray Myrzakul ◽  
Ratbay Myrzakulov ◽  
Lorenzo Sebastiani
Keyword(s):  
Higher Derivative ◽  
Gravity Theories ◽  
Chaotic Inflation

scholarly journals Entanglement entropy in higher derivative holography

2013 ◽  
Vol 2013 (8) ◽  
Author(s):  
Arpan Bhattacharyya ◽  
Apratim Kaviraj ◽  
Aninda Sinha
Keyword(s):  
Entanglement Entropy ◽  
Higher Derivative
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