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We present an explicit momentum space computation of the four-point function of the energy-momentum tensor in 4 spacetime dimensions for the free and conformally invariant theory of a scalar field. The result is obtained by explicit…

High Energy Physics - Theory · Physics 2020-08-26 Mirko Serino

For some models of interacting fermions the known solution to the notorious sign-problem in Monte Carlo (MC) simulations is to work with macroscopic fermionic determinants; the price, however, is a macroscopic scaling of the numerical…

Strongly Correlated Electrons · Physics 2009-11-10 Evgueni Bourovski , Nikolay Prokof'ev , Boris Svistunov

We propose a diagrammatic Monte Carlo approach for general spin-boson models, which can be regarded as a generalization of the strong-coupling expansion for fermionic impurity models. The algorithm is based on a self-consistently computed…

Strongly Correlated Electrons · Physics 2022-01-03 Aaram J. Kim , Katharina Lenk , Jiajun Li , Philipp Werner , Martin Eckstein

Schemes of classical shadows have been developed to facilitate the read-out of digital quantum devices, but similar tools for analog quantum simulators are scarce and experimentally impractical. In this work, we provide a measurement scheme…

Quantum Physics · Physics 2024-12-18 Janek Denzler , Antonio Anna Mele , Ellen Derbyshire , Tommaso Guaita , Jens Eisert

We calculate the free energy density of the two dimensional O(3) non linear sigma model over a large temperature region. At high temperatures the calculations could be done by perturbation theory whereas in the low temperature regime we…

High Energy Physics - Lattice · Physics 2009-10-28 S. P. Spiegel

We compute exactly various 4-point correlation functions of shortest scalar operators in bi-scalar planar four-dimensional "fishnet" CFT. We apply the OPE to extract from these functions the exact expressions for the scaling dimensions and…

High Energy Physics - Theory · Physics 2019-10-02 Nikolay Gromov , Vladimir Kazakov , Gregory Korchemsky

In this article we study the thermal response functions for two one-dimensional models, namely the Hubbard and spin-less fermion $t$-$V$ models. By exactly diagonalizing finite sized systems we calculate dynamical electrical,…

Strongly Correlated Electrons · Physics 2013-05-29 Michael R. Peterson , Subroto Mukerjee , B. Sriram Shastry , Jan O. Haerter

In this work we explore an instance of the $\tau$-function of vertex type operators, specified in terms of a constant phase shift in a free-fermionic basis. From the physical point of view this $\tau$-function has multiple interpretations:…

Statistical Mechanics · Physics 2024-03-14 Daniel Chernowitz , Oleksandr Gamayun

We calculate holographically three-point functions of scalar operators with large dimensions at finite density and finite temperature. To achieve this, we construct new solutions that involve two isometries of the deformed internal space.…

High Energy Physics - Theory · Physics 2023-09-15 George Georgiou , Dimitrios Zoakos

We consider the perturbative computation of the N-point function of chiral densities of massive free fermions at finite temperature within the thermofield dynamics approach. The infinite series in the mass parameter for the N-point…

High Energy Physics - Theory · Physics 2014-11-18 R. L. P. G. Amaral , L. V. Belvedere , K. D. Rothe

We compute analytically and in closed form the four-point correlation function in the plane, and the two-point correlation function in the upper half-plane, of layering vertex operators in the two dimensional conformally invariant system…

Mathematical Physics · Physics 2020-08-26 Federico Camia , Valentino F. Foit , Alberto Gandolfi , Matthew Kleban

We have used the variational and diffusion quantum Monte Carlo methods to calculate the energy, pair correlation function, static structure factor, and momentum density of the ground state of the two-dimensional homogeneous electron gas. We…

Mesoscale and Nanoscale Physics · Physics 2010-03-02 N. D. Drummond , R. J. Needs

We define the partition and $n$-point correlation functions for a vertex operator superalgebra on a genus two Riemann surface formed by sewing two tori together. For the free fermion vertex operator superalgebra we obtain a closed formula…

Quantum Algebra · Mathematics 2011-08-11 Michael P. Tuite , Alexander Zuevsky

We compute the complete topological expansion of the formal hermitian two-matrix model. For this, we refine the previously formulated diagrammatic rules for computing the 1/ N expansion of the nonmixed correlation functions and give a new…

Mathematical Physics · Physics 2011-07-19 Leonid Chekhov , Bertrand Eynard , Nicolas Orantin

We compute the two, three point function of the opearators in the spin zero multiplet of ${\cal N}=2$ Supersymmetric vector matter Chern-Simons theory at large $N$ and at all orders of 't Hooft coupling by solving the Schwinger-Dyson…

High Energy Physics - Theory · Physics 2020-05-01 Karthik Inbasekar , Sachin Jain , Vinay Malvimat , Abhishek Mehta , Pranjal Nayak , Tarun Sharma

We study general correlation functions of various quantum field theories in the holographic setup. Following the holographic proposal, we investigate correlation functions via a geodesic length connecting boundary operators. We show that…

High Energy Physics - Theory · Physics 2023-12-21 Hanse Kim , Jitendra Pal , Chanyong Park

We present a viable Monte Carlo determination of the scaling dimensions $\Delta_Q$ of flux $Q$ Abelian monopoles through finite-size scaling analysis of the free energy to introduce the background field of classical Dirac…

Strongly Correlated Electrons · Physics 2018-11-02 Nikhil Karthik

We relate the reduced density matrices of quadratic bosonic and fermionic models to their Green's function matrices in a unified way and calculate the scaling of bipartite entanglement of finite systems in an infinite universe exactly. For…

Statistical Mechanics · Physics 2007-05-23 Thomas Barthel , Ming-Chiang Chung , Ulrich Schollwoeck

Exactly solving a spinless fermionic system in two and three dimensions, we investigate the scaling behavior of the block entropy in critical and non-critical phases. The scaling of the block entropy crucially depends on the nature of the…

Quantum Physics · Physics 2012-04-25 Weifei Li , Letian Ding , Rong Yu , Tommaso Roscilde , Stephan Haas

We present two related techniques to measure the two-point correlation function and the power spectrum with edge correction in any spatial dimensions. The underlying algorithm uses fast Fourier transforms for calculating the two-point…

Astrophysics · Physics 2009-11-11 István Szapudi , Jun Pan , Simon Prunet , Tamás Budavári
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