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We investigate correlation functions in a periodic box-ball system. For the two point functions of short distance, we give explicit formulae obtained by combinatorial methods. We give expressions for general N-point functions in terms of…

Exactly Solvable and Integrable Systems · Physics 2015-05-14 Jun Mada , Tetsuji Tokihiro

Galilean Conformal Algebra (GCA) arises as a controlled nonrelativistic limit of the relativistic conformal algebra. In this paper, we initiate the study of momentum space correlation functions in two-dimensional GCA. We derive and solve…

High Energy Physics - Theory · Physics 2026-01-07 Anchita Chetia , Nirmalya Kajuri , Chandra Prakash

We study relevant deformations of conformal field theory on a cylinder using conformal perturbation theory, and in particular the one point function of the deformation operator and the energy in a system after a quench. We do the one point…

High Energy Physics - Theory · Physics 2014-11-05 David Berenstein , Alexandra Miller

We analyse the parity-odd ("type P") surface anomalies of the energy-momentum tensor correlators in conformal field theories, with an emphasis on d=4 and d=3 dimensional spacetimes. Using cohomology analysis we construct the expression for…

High Energy Physics - Theory · Physics 2015-12-02 Maro Cvitan , Predrag Dominis Prester , Silvio Pallua , Ivica Smolić , Tamara Štemberga

We show how conformal invariance predicts the functional form of two-point correlators in one-dimensional periodic quantum systems. Numerical evidence for this functional form in a wide class of models --- including long-ranged ones --- is…

Condensed Matter · Physics 2007-05-23 Rudolf A. R"omer , Bill Sutherland

We present a kinetic energy tensor that unifies a scalar kinetic energy density commonly used in meta-Generalized Gradient Approximation functionals and the vorticity density that appears in paramagnetic current-density-functional theory.…

Chemical Physics · Physics 2018-11-14 Sangita Sen , Erik I. Tellgren

Recently obtained results for two and three point functions for quasi-primary operators in conformally invariant theories in arbitrary dimensions {\absit d} are described. As a consequence the three point function for the energy momentum…

High Energy Physics - Theory · Physics 2007-05-23 H. Osborn

The two-point function characterizing the stress tensor fluctuations of a massless minimally coupled field for an invariant vacuum state in de Sitter spacetime is discussed. This two-point function is explicitly computed for spacelike…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Albert Roura , Enric Verdaguer

We investigate the (conformally coupled) scalar field on a general Carrollian spacetime in arbitrary dimension. The analysis discloses electric and magnetic dynamics. For both, we provide the energy and the momenta of the field, accompanied…

High Energy Physics - Theory · Physics 2022-10-12 David Rivera-Betancour , Matthieu Vilatte

Despite tremendous progress in our understanding of scattering amplitudes in perturbative (super-) gravity, much less is known about other asymptotic observables, such as correlation functions of detector operators. In this paper, we…

High Energy Physics - Theory · Physics 2024-12-10 Enrico Herrmann , Murat Kologlu , Ian Moult

Minkowski space is a physically important space-time for which the finding an adequate holographic description is an urgent problem. In this paper we develop further the proposal made in hep-th/0303006 for the description as a duality…

High Energy Physics - Theory · Physics 2009-09-29 Sergey N. Solodukhin

We carry out a systematic study of correlation functions of momentum modes in the Euclidean c=1 string, as a function of the radius and to all orders in perturbation theory. We obtain simple explicit expressions for several classes of…

High Energy Physics - Theory · Physics 2009-11-11 Anindya Mukherjee , Sunil Mukhi

Generalized ideas of unified dark matter and dark energy in the context of dynamical space time theories with a diffusive transfer of energy are studied. The dynamical space-time theories are introduced a vector field whose equation of…

General Relativity and Quantum Cosmology · Physics 2019-06-26 David Benisty , Eduardo Guendelman , Zbigniew Haba

We find the explicit form of two-point function for the conformal spin-2 energy momentum operators on the near horizon of a near extremal Kerr black hole by variation of a proper boundary action. In this regard, we consider an appropriate…

High Energy Physics - Theory · Physics 2017-01-10 A. M. Ghezelbash

The two-point correlation function of the stress-energy tensor for the $\Phi_{1,3}$ massive deformation of the non-unitary model ${\cal M}_{3,5}$ is computed. We compare the ultraviolet CFT perturbative expansion of this correlation…

High Energy Physics - Theory · Physics 2009-10-22 G. Delfino , G. Mussardo

Conformal symmetry has important consequences for strong interactions at short distances and provides powerful tools for practical calculations. Even if the Lagrangians of Quantum Chromodynamics (QCD) and Electrodynamics (QED) are invariant…

High Energy Physics - Theory · Physics 2022-11-30 Matteo Maria Maglio , Riccardo Tommasi

We compute N-point correlation functions of pure vertex operator states(DK states) for minimal models coupled to gravity. We obtain agreement with the matrix model results on analytically continuing in the numbers of cosmological constant…

High Energy Physics - Theory · Physics 2009-10-22 S. Govindarajan , T. Jayaraman , V. John

The weak energy condition is known to fail in general when applied to expectation values of the the energy momentum tensor in flat space quantum field theory. It is shown how the usual counter arguments against its validity are no longer…

High Energy Physics - Theory · Physics 2009-10-30 J. I. Latorre , H. Osborn

We study the vacuum zero point energy associated to a scalar field with an arbitrary mass and conformal coupling in a dS background. Employing dimensional regularization scheme, we calculate the regularized zero point energy density,…

General Relativity and Quantum Cosmology · Physics 2023-09-25 Hassan Firouzjahi , Haidar Sheikhahmadi

We consider a self-interacting, massive, real scalar field on a four-dimensional globally hyperbolic spacetime and the associated stress-energy tensor. Using techniques proper of the algebraic approach to perturbative quantum field theory,…

Mathematical Physics · Physics 2025-04-09 Beatrice Costeri , Claudio Dappiaggi , Michele Goi
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