Holographic Renormalization and Ward Identities with the Hamilton-Jacobi Method

By D. Martelli, W. Mueck. 2002

141 citations recorded by the source corpus.

We illustrate how holographic renormalization is performed using the Hamilton–Jacobi approach.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7e6925df3875f48515e5d1068e6e224cb578f9d3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Marika Taylor
2. Kostas Skenderis
3. Ioannis Papadimitriou
4. J. Maldacena
5. Thomas Hartman
6. V. Hubeny
7. D. Martelli
8. R. Myers

In Nuclear and High Energy Physics

1. Kostas Skenderis
2. Marika Taylor
3. Ioannis Papadimitriou
4. Thomas Hartman
5. J. Maldacena
6. R. Myers
7. B. C. Rees
8. V. Hubeny

In Statistical and Nonlinear Physics

1. Kostas Skenderis
2. Ioannis Papadimitriou
3. Marika Taylor
4. Thomas Hartman
5. J. Maldacena
6. Edgar Shaghoulian
7. D. Martelli
8. S. Raju

Citations in the corpus

• Holographic gravitational anomaly and chiral vortical effect (2011, methodology): “Holographic Renormalization In order to go through the steps of the holographic renormalization program within the Hamiltonian approach [65, 66], first of all we establish some notations.”
• Holographic renormalization of general dilaton-axion gravity (2011, methodology): “It was later shown [17] that the boundary term obtained by solving the radial Hamilton-Jacobi solution is the same as the one obtained via the standard method of holographic renormalization [18, 19, 20, 21, 16, 22, 23, 24].”
• Kaluza-Klein Holography (2006, background): “2 5d supergravity fields The part of the 5d action involving the metric and the field S2 is same as the sector of gauged supergravity analyzed in [8, 9] (where S2 was called Φ) (see also [15, 10]).”
• Holographic Renormalization (2001, background): “The issue of renormalization in this setting has been addressed in [50].”
• AdS/CFT correspondence and geometry (2004, methodology): “In the presence of scalars, the equations were further organized in [16] according to the number of scalar fields they contain.”
• Holographic Description of AdS_2 Black Holes (2008, background): “(1)We also comment on the only previous example of A(2) boundary terms that we are aware of [29].”
• Correlation functions in holographic RG flows (2004, methodology): “In [9], extending previous work [10, 11, 12] (see also [13]), we developed a Hamiltonian method to obtain renormalized correlation functions of the dual quantum field theory from classical AdS gravity.”
• Comments on string theory backgrounds with non-relativistic conformal symmetry (2008, methodology): “We expect that the five-dimensional truncations that we derived in this paper will be important in formulating a holographic renormalisation procedure, using for instance the Hamilton-Jacobi approach [38, 39].”
• Lecture notes on holographic renormalization (2002, background): “The issue of renormalization in this setting has been addressed in [51].”
• Thermodynamics of Asymptotically Locally AdS Spacetimes (2005, methodology): “The most convenient way to perform the asymptotic analysis is by using a ‘radial Hamiltonian analysis’ where the radial coordinate plays the role of time [29] (see [33, 34, 35] for earlier work).”
• Holography at finite cutoff with a T2 deformation (2018, methodology): “The derivation starts with the Hamilton-Jacobi equation in the bulk, and uses the techniques of holographic renormalization developed in [2, 3, 33, 34].”