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We study correlation functions of a conserved spin-1 current $J_\mu$ in three dimensional Conformal Field Theories (CFTs). We investigate the constraints imposed by permutation symmetry and current conservation on the form of three point…

High Energy Physics - Theory · Physics 2020-04-13 Anatoly Dymarsky , Joao Penedones , Emilio Trevisani , Alessandro Vichi

Conformal field theory (CFT) has been extremely successful in describing large-scale universal effects in one-dimensional (1D) systems at quantum critical points. Unfortunately, its applicability in condensed matter physics has been limited…

Strongly Correlated Electrons · Physics 2017-02-15 Jérôme Dubail , Jean-Marie Stéphan , Jacopo Viti , Pasquale Calabrese

The symmetry group of the staggered Fermion transfer matrix in a spatial direction is constructed at finite temperature. Hadron-like operators carrying irreducible representations of this group are written down from the breaking of the zero…

High Energy Physics - Lattice · Physics 2016-08-25 Sourendu Gupta

We consider entanglement through permeable junctions of $N$ $(1+1)$-dimensional free boson and free fermion conformal field theories. In the folded picture we constrain the form of the general boundary state. We calculate replicated…

High Energy Physics - Theory · Physics 2017-05-31 Michael Gutperle , John D. Miller

By using Araki's relative entropy, Lieb's convexity and the theory of singular integrals, we compute the mutual information associated with free fermions, and we deduce many results about entropies for chiral CFT's which are embedded into…

Operator Algebras · Mathematics 2017-12-21 Roberto Longo , Feng Xu

One-point correlators of conserved charges are argued to be perturbatively IR safe in QCD, which includes not only the density of energy, but also those of electric charge, isospin and baryon number. Theoretical and phenomenological aspects…

High Energy Physics - Phenomenology · Physics 2024-07-18 Marc Riembau , Minho Son

We obtain an exact asymptotic expression for the two-point fermion correlation functions in the massive Thirring model (MTM) and show that, for $\beta^2=8\pi$, they reproduce the exactly known corresponding functions of the massless theory,…

High Energy Physics - Theory · Physics 2009-11-11 Leonardo Mondaini , E. C. Marino

We illustrate how the conformal Ward identities (CWIs) in momentum space completely determine the structure of a parity-odd 3-point correlator involving currents, energy momentum tensors and at least one scalar operator in $d=4$. Conformal…

High Energy Physics - Theory · Physics 2024-12-03 Claudio Corianó , Stefano Lionetti

We propose a prescription for describing correlation functions in higher-dimensional defect conformal field theories (DCFTs) by those in ancillary conformal field theories (CFTs) without defects, which is a vast generalization of the image…

High Energy Physics - Theory · Physics 2022-12-09 Tatsuma Nishioka , Yoshitaka Okuyama , Soichiro Shimamori

The correlation functions of an arbitrary number of boundary monomers in the system of close-packed dimers on the square lattice are computed exactly in the scaling limit. The equivalence of the 2n-point correlation functions with those of…

Statistical Mechanics · Physics 2008-11-26 Vyatcheslav B. Priezzhev , Philippe Ruelle

In unparticle physics, operators of the conformal sector have self-interactions, and these are unsuppressed for strong coupling. The 3-point interactions are completely determined by conformal symmetry, up to a constant. We do not know of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jonathan L. Feng , Arvind Rajaraman , Huitzu Tu

We construct superconformal invariants in superspace which are used to build 3-point correlators of spinning operators in general $\cal{N}=2$ superconformal field theories in three dimensions. Our systematic analysis includes various…

High Energy Physics - Theory · Physics 2022-12-22 Aditya Jain , Amin A. Nizami

We consider unitary CFTs with continuous global symmetries in $d>2$. We consider a state created by the lightest operator of large charge $Q \gg 1$ and analyze the correlator of two light charged operators in this state. We assume that the…

High Energy Physics - Theory · Physics 2018-06-13 Daniel Jafferis , Baur Mukhametzhanov , Alexander Zhiboedov

We study properties of strongly coupled CFT's with non-zero background electric charge in 1+1 dimensions by studying the dual gravity theory - which is a charged BTZ black hole. Correlators of operators dual to scalars, gauge fields and…

High Energy Physics - Theory · Physics 2014-11-20 Debaprasad Maity , Swarnendu Sarkar , B. Sathiapalan , R. Shankar , Nilanjan Sircar

We study an exactly solvable quantum field theory (QFT) model describing interacting fermions in 2+1 dimensions. This model is motivated by physical arguments suggesting that it provides an effective description of spinless fermions on a…

Mathematical Physics · Physics 2013-08-26 Jonas de Woul , Edwin Langmann

We study the spatial correlator of the topological charge density operator in pure SU(3) gauge theory and in two flavor QCD. We show that the data for distances up to about 1 fm is consistent with a vacuum consisting of individual…

High Energy Physics - Lattice · Physics 2009-10-31 Anna Hasenfratz

We use the framework of relativistic and non-relativistic conformal field theories (CFT) to derive general results relevant for the production of weakly coupled and strongly coupled dark sectors through thermal interactions. Our result…

High Energy Physics - Phenomenology · Physics 2022-01-05 Michele Redi , Andrea Tesi

We compute correlators of two heavy and two light operators in the strong coupling and large $c$ limit of the D1D5 CFT which is dual to weakly coupled AdS$_3$ gravity. The light operators have dimension two and are scalar descendants of the…

High Energy Physics - Theory · Physics 2018-02-14 Alessandro Bombini , Andrea Galliani , Stefano Giusto , Emanuele Moscato , Rodolfo Russo

Point particle may interact to traceless symmetric tensors of arbitrary rank. Free gauge theories of traceless symmetric tensors are constructed, that provides a possibility for a new type of interactions, when particles exchange by those…

High Energy Physics - Theory · Physics 2014-11-18 A. Yu. Segal

We exploit null vectors of the fractional Virasoro algebra of the symmetric product orbifold to compute correlation functions of twist fields in the large $N$ limit. This yields a new method to derive correlation functions in these orbifold…

High Energy Physics - Theory · Physics 2020-01-22 Andrea Dei , Lorenz Eberhardt