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The theory of holographic algorithms, which are polynomial time algorithms for certain combinatorial counting problems, yields insight into the hierarchy of complexity classes. In particular, the theory produces algebraic tests for a…

Computational Complexity · Computer Science 2009-04-07 J. M. Landsberg , Jason Morton , Serguei Norine

We summarize the light-front coupled-cluster (LFCC) method for the solution of field-theoretic bound-state eigenvalue problems and indicate the connection with light-front holographic QCD. This includes a sample application of the LFCC…

High Energy Physics - Phenomenology · Physics 2015-06-18 J. R. Hiller

We discuss the quantization of a particle near an extreme Reissner-Nordstrom black hole in the canonical formalism. This model appears to be described by a Hamiltonian with no well-defined ground state. This problem can be circumvented by a…

High Energy Physics - Theory · Physics 2009-10-31 George Siopsis

We give an overview of the light-front holographic approach to strongly coupled QCD, whereby a confining gauge theory, quantized on the light front, is mapped to a higher-dimensional anti de Sitter (AdS) space. The framework is guided by…

High Energy Physics - Phenomenology · Physics 2015-05-27 Guy F. de Teramond , Stanley J. Brodsky

In the presence of finite chemical potential $\mu$, we holographically compute the entanglement of purification in a $2+1$- and $3+1$-dimensional field theory and also in a $3+1$-dimensional field theory with a critical point. We observe…

High Energy Physics - Theory · Physics 2020-12-30 B. Amrahi , M. Ali-Akbari , M. Asadi

Solutions of $(d+1)$-dimensional gravity coupled to a scalar field are obtained, which holographically realize interface and boundary CFTs. The solution utilizes a Janus-like $\mathrm{AdS}_d$ slicing ansatz and corresponds to a deformation…

High Energy Physics - Theory · Physics 2013-05-30 Michael Gutperle , Joshua Samani

Common-path digital in-line holography is considered as a valuable 3D diagnostic techniques for a wide range of applications. This configuration is cost effective and relatively immune to variation in the experimental environment.…

Instrumentation and Detectors · Physics 2016-01-20 Nicolas Verrier , Corinne Fournier , Anthony Cazier , Thierry Fournel

Bilocal holography is a constructive approach to the higher spin theory holographically dual to $O(N)$ vector models. In contrast to other approaches to bulk reconstruction, bilocal holography does not take input from the dual gravitational…

High Energy Physics - Theory · Physics 2021-12-08 Robert de Mello Koch , Eunice Gandote , Nirina Hasina Tahiridimbisoa , Hendrik J. R. Van Zyl

It is argued that the so-called holographic principle will obstruct attempts to produce physically realistic models for the unification of general relativity with quantum mechanics, unless determinism in the latter is restored. The notion…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gerard 't Hooft

Some problems with theoretical foundations of bottom-up holographic models are briefly discussed. It is pointed out that the spectroscopic aspects of these models in principle do not require the AdS/CFT prescriptions and may be interpreted…

High Energy Physics - Phenomenology · Physics 2010-04-20 S. S. Afonin

The correspondence between theories in anti-de Sitter space and conformal field theories in physical space-time leads to an analytic, semiclassical model for strongly-coupled QCD which has scale invariance at short distances and color…

High Energy Physics - Phenomenology · Physics 2014-08-27 Stanley J. Brodsky , Guy de Teramond , Robert Shrock

Anti-de Sitter space in five dimensions provides an exact geometrical representation of the conformal group. Remarkably, gravity in AdS$_5$ space is holographically dual to frame-independent light-front Hamiltonian theory, derived from the…

High Energy Physics - Theory · Physics 2013-09-20 Stanley J. Brodsky , Guy F. de Téramond , Hans Günter Dosch

Hamiltonian light-front quantum field theory provides a framework for calculating both static and dynamic properties of strongly interacting relativistic systems. Invariant masses, correlated parton amplitudes and time-dependent scattering…

Nuclear Theory · Physics 2014-06-10 James P. Vary , Xingbo Zhao , Anton Ilderton , Heli Honkanen , Pieter Maris , Stanley J. Brodsky

Classical physics is reformulated as a constrained Hamiltonian system in the history phase space. Dynamics, i.e. the Euler-Lagrange equations, play the role of first-class constraints. This allows us to apply standard methods from the…

High Energy Physics - Theory · Physics 2007-05-23 T. A. Larsson

The Hamiltonian description of classical gauge theories is a well studied subject. The two best known approaches, namely the covariant and canonical Hamiltonian formalisms have received a lot of attention in the literature. However, in our…

General Relativity and Quantum Cosmology · Physics 2025-09-11 Alejandro Corichi , Juan D. Reyes , Tatjana Vukasinac

A primary question in hadron physics is how the mass scale for hadrons consisting of light quarks, such as the proton, emerges from the QCD Lagrangian even in the limit of zero quark mass. If one requires the effective action which…

High Energy Physics - Phenomenology · Physics 2015-12-09 S. J. Brodsky , A. Deur , G. F. de Teramond , H. G. Dosch

We describe a procedure to extend the light-front holographic approach to hadronic physics to include light-quark masses. The proposed framework allows us to extend the formalism of de Alfaro, Fubini and Furlan to the frame-independent…

High Energy Physics - Phenomenology · Physics 2014-05-13 Guy F. de Teramond , Stanley J. Brodsky , Hans Gunter Dosch

The holographic principle asserts that the entropy of a system cannot exceed its boundary area in Planck units. However, conventional quantum field theory fails to describe such systems. In this Letter, we assume the existence of large $n$…

High Energy Physics - Theory · Physics 2008-09-25 Chao Cao , Yi-Xin Chen

Higher derivative scalar field theories have received considerable attention for the potentially explanations of the initial state of the universe or the current cosmic acceleration which they might offer. They have also attracted many…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Mingzhe Li , Xiulian Wang

The well-known fact that classical automorphisms of (compactified) Minkowski spacetime (Poincare or conformal trandsformations) also allow a natural derivation/interpretation in the modular setting (in the operator-algebraic sense of Tomita…

High Energy Physics - Theory · Physics 2007-05-23 Lucio Fassarella , Bert Schroer