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In vacuum, the world-line formalism is an efficient tool for calculating observables in the presence of arbitrary constant external fields. The natural frame of this formalism is the Euclidean space. At finite temperature the analytic…

High Energy Physics - Phenomenology · Physics 2007-05-23 Haitham Zaraket

A previous analysis of scaling, bounds, and inequalities for the non-interacting functionals of thermal density functional theory is extended to the full interacting functionals. The results are obtained from analysis of the related…

Statistical Mechanics · Physics 2016-12-14 James W. Dufty , S. B. Trickey

We study the entanglement of two disjoint intervals in the conformal field theory of the Luttinger liquid (free compactified boson). Tr\rho_A^n for any integer n is calculated as the four-point function of a particular type of twist fields…

High Energy Physics - Theory · Physics 2009-12-03 Pasquale Calabrese , John Cardy , Erik Tonni

For a generic conformal field theory (CFT) in four dimensions, the scale anomaly dictates that the universal part of entanglement entropy across a sphere ($\mathcal{C}_{\text{univ}}(S^{2})$) is positive. Based on this fact, we explore the…

High Energy Physics - Theory · Physics 2016-12-28 Ali Naseh

We study the time evolution of the entanglement negativity after a local quantum quench in (1+1)-dimensional conformal field theories (CFTs), which we introduce by suddenly joining two initially decoupled CFTs at their endpoints. We…

Statistical Mechanics · Physics 2015-08-12 Xueda Wen , Po-Yao Chang , Shinsei Ryu

The entanglement entropy and the logarithmic negativity can be computed in quantum field theory through a method based on the replica limit. Performing these analytic continuations in some cases is beyond our current knowledge, even for…

Statistical Mechanics · Physics 2015-06-18 Cristiano De Nobili , Andrea Coser , Erik Tonni

We construct the gravity background which describes the dual field theory with aging invariance. We choose the decay modes of the bulk scalar field in the internal spectator direction to obtain the dissipative behavior of the boundary…

High Energy Physics - Theory · Physics 2012-04-04 Seungjoon Hyun , Jaehoon Jeong , Bom Soo Kim

We use gauge-gravity duality to compute entanglement entropy in a non-conformal background with an energy scale $\Lambda$. At zero temperature, we observe that entanglement entropy decreases by raising $\Lambda$. However, at finite…

High Energy Physics - Theory · Physics 2017-08-02 M. Rahimi , M. Ali-Akbari , M. Lezgi

Recently, the spectral expansion of finite temperature two-point functions in integrable quantum field theories was constructed using a finite volume regularization technique and the application of multidimensional residues. In the present…

High Energy Physics - Theory · Physics 2015-06-11 István M. Szécsényi , Gábor Takács

The generators of radial conformal symmetries in Minkowski space-time can be put in correspondence with generators of time evolution in conformal quantum mechanics. Within this correspondence we show that in conformal quantum mechanics the…

High Energy Physics - Theory · Physics 2024-05-07 Michele Arzano , Alessandra D'Alise , Domenico Frattulillo

We compute the finite temperature induced fermion number for fermions coupled to a static nonlinear sigma model background in (2+1) dimensions, in the derivative expansion limit. While the zero temperature induced fermion number is well…

High Energy Physics - Theory · Physics 2009-11-07 Gerald V. Dunne , Justo Lopez-Sarrion , Kumar Rao

We study the effect of adding a matter field to the Z2 gauge model in three dimensions at zero and finite temperature. Up to a given value of the parameter regulating the coupling, the matter field produces a slight shift of the transition…

High Energy Physics - Lattice · Physics 2009-11-07 Luigi Genovese , Ferdinando Gliozzi , Antonio Rago , Christian Torrero

We propose a scheme to characterize long-range quantum entanglement close to a finite temperature critical point using tripartite entanglement negativity. As an application, we study a model with mean-field Ising critical exponents and find…

Strongly Correlated Electrons · Physics 2020-12-11 Tsung-Cheng Lu , Tarun Grover

We study the finite size corrections for the magnetization and the internal energy of the 2d Ising model in a magnetic field by using transfer matrix techniques. We compare these corrections with the functional form recently proposed by…

High Energy Physics - Theory · Physics 2015-06-26 M. Caselle , M. Hasenbusch

We establish a new framework of finite temperature field theory for Yang-Mills theories in the physical phase space eliminating all unphysical degrees of freedoms. Relating our method to the imaginary time formalism of James and Landshoff…

High Energy Physics - Phenomenology · Physics 2016-08-24 Herbert Nachbagauer

We consider zero-temperature transitions from conformal to non-conformal phases in quantum theories. We argue that there are three generic mechanisms for the loss of conformality in any number of dimensions: (i) fixed point goes to zero…

High Energy Physics - Theory · Physics 2013-05-29 David B. Kaplan , Jong-Wan Lee , Dam T. Son , Mikhail A. Stephanov

In this work the TFD formalism is explored in order to study a dissipative time-dependent thermal vacuum. This state is a consequence of a particular interaction between two theories, which can be interpreted as two conformal theories…

High Energy Physics - Theory · Physics 2021-11-16 M. Dias , Daniel L. Nedel , C. R. Senise

We examine the entanglement induced by an angular momentum coupling between two harmonic systems. The Hamiltonian corresponds to that of a charged particle in a uniform magnetic field in an anisotropic quadratic potential, or equivalently,…

Quantum Physics · Physics 2015-06-03 L. Rebón , R. Rossignoli

We consider the problem of symmetry decomposition of the entanglement negativity in free fermionic systems. Rather than performing the standard partial transpose, we use the partial time-reversal transformation which naturally encodes the…

Statistical Mechanics · Physics 2021-05-26 Sara Murciano , Riccarda Bonsignori , Pasquale Calabrese

We study the fate of quantum correlations at finite temperature in the two-dimensional toric code using the logarithmic entanglement negativity. We are able to obtain exact results that give us insight into how thermal excitations affect…

Strongly Correlated Electrons · Physics 2018-04-25 Oliver Hart , Claudio Castelnovo
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