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We consider 5-point functions in conformal field theories in d > 2 dimensions. Using weight-shifting operators, we derive recursion relations which allow for the computation of arbitrary conformal blocks appearing in 5-point functions of…

High Energy Physics - Theory · Physics 2022-05-23 David Poland , Valentina Prilepina

Motivated by constant-G theory, we introduce a one-parameter family of scalar-tensor theories as an extension of constant-G theory in which the conformal symmetry is a cosmological attractor. Since the model has the coupling function of…

General Relativity and Quantum Cosmology · Physics 2022-01-21 Takeshi Chiba

We study how topological defects manifest themselves in the equal-time two-point field correlator. We consider a scalar field with Z_2 symmetry in 1, 2 and 3 spatial dimensions, allowing for kinks, domain lines and domain walls,…

High Energy Physics - Phenomenology · Physics 2015-05-18 Arttu Rajantie , Anders Tranberg

Loop corrections to unequal-time correlation functions in Minkowski spacetime exhibit secular growth due to a breakdown of time-dependent perturbation theory. This is analogous to secular growth in equal-time correlators on time-dependent…

High Energy Physics - Theory · Physics 2023-03-07 Spasen Chaykov , Nishant Agarwal , Sina Bahrami , R. Holman

Loop corrections to finite-time correlation functions in quantum field theories away from equilibrium can be calculated using the in-in path integral approach. In this paper, we calculate the unequal-time two-point correlator for different…

High Energy Physics - Theory · Physics 2023-03-07 Spasen Chaykov , Nishant Agarwal , Sina Bahrami , R. Holman

We investigate the structure of the constraints on three-point correlation functions emerging when conformal invariance is imposed in momentum space and in arbitrary space-time dimensions, presenting a derivation of their solutions for…

High Energy Physics - Theory · Physics 2015-06-15 Claudio Coriano , Luigi Delle Rose , Emil Mottola , Mirko Serino

The Wightman functions in the Rindler portion of Minkowski space-time are presented for any value of the temperature and for massless spin fields up to s=1 and the renormalized stress tensor relative to Minkowski vacuum is discussed. A…

High Energy Physics - Theory · Physics 2009-10-28 Valter Moretti , Luciano Vanzo

Nonlinear deformations of relativistic symmetries at the Planck scale are usually addressed in terms of modified dispersion relations. We explore here an alternative route by directly deforming the two-point functions of an underlying field…

High Energy Physics - Theory · Physics 2008-11-26 Ivan Agullo , Jose Navarro-Salas , Gonzalo J. Olmo , Leonard Parker

We compute conformal correlation functions with spinor, tensor, and spinor-tensor primary fields in general dimensions with Euclidean and Lorentzian metrics. The spinors are taken to be Dirac spinors, which exist for any dimensions. For…

High Energy Physics - Theory · Physics 2019-07-16 Hiroshi Isono

We propose a new approach to compute correlators of quantum fields in de Sitter space. It is based on nonequilibrium field theory techniques, and exploits de Sitter symmetries so as to partially reduce the number of independent variables of…

High Energy Physics - Theory · Physics 2015-06-12 R. Parentani , J. Serreau

A correspondence between fluctuations of non-minimally coupled scalar fields and that of an effective fluid with heat flux and anisotropic stresses, is shown. Though the correspondence between respective stress tensors of scalar fields and…

General Relativity and Quantum Cosmology · Physics 2022-05-18 Seema Satin

The pp-wave (Penrose limit) in conformal field theory can be viewed as a special contraction of the unitary representations of the conformal group. We study the kinematics of conformal fields in this limit in a geometric approach where the…

High Energy Physics - Theory · Physics 2009-11-07 G. Arutyunov , E. Sokatchev

We derive and analyze the conformal Ward identities (CWI's) of a tensor 4-point function of a generic CFT in momentum space. The correlator involves the stress-energy tensor $T$ and three scalar operators $O$ ($TOOO$). We extend the…

High Energy Physics - Theory · Physics 2020-07-15 Claudio Corianò , Matteo Maria Maglio , Dimosthenis Theofilopoulos

In this note, we explicitly compute the vacuum expectation value of the commutator of scalar fields in a d-dimensional conformal field theory on the cylinder. We find from explicit calculations that we need smearing not only in space but…

High Energy Physics - Theory · Physics 2021-10-27 Lento Nagano , Seiji Terashima

Energy momentum tensors of higher-derivative free scalar conformal field theories in flat spacetime are discussed. Two algorithms for the computation of energy momentum tensors are described, which accomplish different goals: the first is…

High Energy Physics - Theory · Physics 2022-07-06 Andreas Stergiou , Gian Paolo Vacca , Omar Zanusso

Energy correlators measured inside high-energy jets at hadron colliders have recently been demonstrated to provide a new window into both perturbative and non-perturbative Quantum Chromodynamics. A number of the most interesting features of…

High Energy Physics - Phenomenology · Physics 2023-08-01 Max Jaarsma , Yibei Li , Ian Moult , Wouter J. Waalewijn , Hua Xing Zhu

An improved correspondence formula is proposed for the calculation of correlation functions of a conformal field theory perturbed by multi-trace operators from the analysis of the dynamics of the dual field theory in Anti-de Sitter space.…

High Energy Physics - Theory · Physics 2016-09-06 Wolfgang Mueck

We study the kinematics of correlation functions of local and extended operators in a conformal field theory. We present a new method for constructing the tensor structures associated to primary operators in an arbitrary bosonic…

High Energy Physics - Theory · Physics 2019-09-04 Edoardo Lauria , Marco Meineri , Emilio Trevisani

We compute non-perturbative spectral functions in a scalar $\phi^4$-theory in three spacetime dimensions via the spectral functional renormalisation group. This approach allows for the direct, manifestly Lorentz covariant computation of…

High Energy Physics - Theory · Physics 2023-03-30 Jan Horak , Friederike Ihssen , Jan M. Pawlowski , Jonas Wessely , Nicolas Wink

It is suggested in the paper by A.J. Chambers {\it et al.} (Phys. Rev. Lett. 118, 242001 (2017), arXiv:1703.01153) that the time-ordered current-curent correlator in the nucleon calculated on the lattice is to be identified as the forward…

High Energy Physics - Phenomenology · Physics 2017-12-08 Keh-Fei Liu