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In this work, we provide a method which allows to compute exactly the multipoint and multi-time correlation functions of a one-dimensional stochastic model of dimer adsorption-evaporation with random (uncorrelated) initial states. In…

Statistical Mechanics · Physics 2016-08-31 Mauro Mobilia

Using effective field theory methods, we calculate the low-temperature phonon thermal partition function for a generic superfluid, thus providing the leading thermal corrections to a superfluid's equation of state, thermodynamic quantities,…

High Energy Physics - Theory · Physics 2023-08-21 Ioanna Kourkoulou , Alberto Nicolis , Klaas Parmentier

Instantons, semi-classical trajectories of quantum tunneling in imaginary time, have long been used to study thermodynamic and transport properties in a myriad of condensed matter and high energy systems. A recent experiment in…

Many-body theory is largely based on self-consistent equations that are constructed in terms of the physical quantity of interest itself, for example the density. Therefore, the calculation of important properties such as total energies or…

Materials Science · Physics 2015-10-28 Adrian Stan , Pina Romaniello , Santiago Rigamonti , Lucia Reining , J. A. Berger

In a recent letter we presented a framework for predicting the concentrations of many-particle local structures inside the bulk liquid as a route to assessing changes in the liquid approaching dynamical arrest. Central to this framework was…

Statistical Mechanics · Physics 2019-12-25 Joshua F. Robinson , Francesco Turci , Roland Roth , C. Paddy Royall

We investigate the value of the correlation function of an inhomogeneous hard-sphere fluid at contact. This quantity plays a critical role in Statistical Associating Fluid Theory (SAFT), which is the basis of a number of recently developed…

Soft Condensed Matter · Physics 2013-09-10 Jeff Schulte , Patrick Kreitzberg , Chris Haglund , David Roundy

An exact relation which links the ideal model space to be used in A-body calculations when the two-body interaction is given in a truncated model space is derived. Its implications on the effective field theory (EFT) approach to…

Nuclear Theory · Physics 2018-01-01 C. -J. Yang

We develop a formalism for calculating soft limits of $n$-point inflationary correlation functions using separate universe techniques. Our method naturally allows for multiple fields and leads to an elegant diagrammatic approach. As an…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-12 Zachary Kenton , David J. Mulryne

We explain how nonperturbative effects can be systematically included when constructing an effective field theory. We concentrate in particular on the matching calculation, by which a low energy theory without a heavy particle degree of…

High Energy Physics - Phenomenology · Physics 2009-09-11 Howard Georgi , Samuel T. Osofsky

Current understanding of correlations and quantum phase transitions in many-body systems has significantly improved thanks to the recent intensive studies of their entanglement properties. In contrast, much less is known about the role of…

Quantum Physics · Physics 2017-05-02 J. Tura , A. B. Sainz , T. Grass , R. Augusiak , A. Acín , M. Lewenstein

The effect of a stochastic displacement field on a statistically independent point process is analyzed. Stochastic displacement fields can be divided into two large classes: spatially correlated and uncorrelated. For both cases exact…

Statistical Mechanics · Physics 2008-11-26 Andrea Gabrielli

Non-locality is a fundamental trait of quantum many-body systems, both at the level of pure states, as well as at the level of mixed states. Due to non-locality, mixed states of any two subsystems are correlated in a stronger way than what…

Statistical Mechanics · Physics 2016-09-28 Daniele Malpetti , Tommaso Roscilde

We present a scheme for investigating arbitrary thermal observables in spatially inhomogeneous equilibrium many-body systems. Extending the grand canonical ensemble yields any given observable as an explicit hyper-density functional.…

Soft Condensed Matter · Physics 2024-09-10 Florian Sammüller , Silas Robitschko , Sophie Hermann , Matthias Schmidt

We use dynamic equations to derive a relation between correlation functions and response or relaxation functions in many-body systems. The relation is very general and holds both in equilibrium, when the usual fluctuation-dissipation…

Statistical Mechanics · Physics 2024-07-09 T. R. Kirkpatrick , D. Belitz

A formally exact set of equations is derived for the description of nonequilibrium phenomena in classical liquids and glasses. With the help of a non equilibrium projection operator formalism, the correlation functions and fluctuation…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Latz

Many of the fascinating and unconventional properties of several transition-metal compounds with partially filled d-shells are due to strong electronic correlations. While local correlations are in principle treated exactly within the frame…

Strongly Correlated Electrons · Physics 2017-07-13 F. Lechermann , A. I. Lichtenstein , M. Potthoff

This is the 13th article in the collection of reviews "Exact results in N=2 supersymmetric gauge theories", ed. J. Teschner. It discusses the relation between the instanton partition functions and the partition function of the topological…

High Energy Physics - Theory · Physics 2014-12-23 Daniel Krefl , Johannes Walcher

We propose a simple method that allows, in one dimension, to solve exactly a wide class of classical stochastic many-body systems far from equilibrium. For the sake of illustration and without loss of generality, we focus on a model that…

Statistical Mechanics · Physics 2009-10-31 Pierre-Antoine Bares , Mauro Mobilia

We analyze intersecting surface defects inserted in interacting four-dimensional N = 2 supersymmetric quantum field theories. We employ the realization of a class of such systems as the infrared fixed points of renormalization group flows…

High Energy Physics - Theory · Physics 2017-08-02 Yiwen Pan , Wolfger Peelaers

Finite temperature instantons between meta-stable vacua of correlated electronic system are solved analytically for quasi one-dimensional Hubbard model. The instantons produce dynamic symmetry breaking and connect metallic state with the…

Strongly Correlated Electrons · Physics 2008-07-29 S. I. Mukhin