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The problem of ultraviolet divergences is analysed in the quantum field theory. It was found that it has common roots with the problem of cosmological singularity. In the context of fibre bundles the second quantization method is…

Quantum Physics · Physics 2007-05-23 S. S. Sannikov , A. A. Stanislavsky

It has been shown numerically that systems of particles interacting with "stealthy" bounded, long-ranged pair potentials (similar to Friedel oscillations) have classical ground states that are, counterintuitively, disordered, hyperuniform…

Statistical Mechanics · Physics 2015-06-03 S. Torquato , G. Zhang , F. H. Stillinger

Recently it was proposed that asymptotically flat spacetimes have a holographic dual which is an ultra-relativistic conformal field theory. In this paper, we obtain the conformal anomaly for such a theory via the flat-space holography…

High Energy Physics - Theory · Physics 2017-06-02 Reza Fareghbal , Ali Naseh , Shahin Rouhani

We present a unifying, consistent, finite-size-scaling picture for percolation theory bringing it into the framework of a general, renormalization-group-based, scaling scheme for systems above their upper critical dimensions $d_c$.…

Statistical Mechanics · Physics 2017-05-16 Ralph Kenna , Bertrand Berche

The previously proposed "Complexity=Volume" or CV-duality is probed and developed in several directions. We show that the apparent lack of universality for large and small black holes is removed if the volume is measured in units of the…

High Energy Physics - Theory · Physics 2018-12-05 Josiah Couch , Stefan Eccles , Ted Jacobson , Phuc Nguyen

We propose a SymTFT interpretation of ensemble averaging in low-dimensional holography. The central operation is to keep fixed both the SymTFT and the physical boundary condition, while averaging over topological boundary conditions at the…

High Energy Physics - Theory · Physics 2026-05-08 Xingyang Yu

The issue of the existence and possible triviality of the Euclidean quantum scalar field in dimension 4 is investigated by using some large deviations techniques. As usual, the field $\varphi_{d}^{4}$ is obtained as a limit of regularized…

Probability · Mathematics 2023-01-24 Adnan Aboulalaa

In this work, we generalize Sacks-Uhlenbeck's existence result for harmonic spheres, constructing for $n \ge 2$, regular, non-trivial, $n$-harmonic $n$-spheres into suitable target manifolds. We obtain an infinite family of new…

Analysis of PDEs · Mathematics 2025-06-23 Gianmichele Di Matteo , Tobias Lamm

Entanglement asymmetry provides a quantitative measure of symmetry breaking in many-body quantum states. Focusing on inhomogeneous $U(1)$ charges, such as dipole and multipole moments, we show that the typical asymmetry is bounded by a…

Statistical Mechanics · Physics 2026-04-10 Lorenzo Gotta , Filiberto Ares , Sara Murciano

In transverse-field Ising models, disorder in the couplings gives rise to a drastic reduction of the critical energy gap and, accordingly, to an unfavorable, slower-than-algebraic scaling of the density of defects produced when the system…

Statistical Mechanics · Physics 2023-12-15 R. Juhász , G. Roósz

We investigate aspects of non-equilibrium dynamics of strongly coupled field theories within holography. We establish a hydrodynamic description for anomalous quantum field theories subject to a strong external field for the first time in…

High Energy Physics - Theory · Physics 2020-12-21 Sebastian Grieninger

We investigate the holographic bound utilizing a homogeneous, isotropic, and non-relativistic neutral hydrogen gas present in the de Sitter space. Concretely, we propose to employ de Sitter holography intertwined with quantum deformation of…

General Relativity and Quantum Cosmology · Physics 2021-12-16 S. Jalalzadeh , S. Abarghouei Nejad , P. V. Moniz

The Hamiltonian Theory of the fractional quantum Hall (FQH) regime provides a simple and tractable approach to calculating gaps, polarizations, and many other physical quantities. In this paper we include disorder in our treatment, and show…

Strongly Correlated Electrons · Physics 2015-05-13 Ganpathy Murthy

We investigate a large class of $\mathcal{N} = (2, 2)$ supersymmetric field theories in two dimensions, which contains the Murugan-Stanford-Witten model, and can be naturally regarded as a disordered generalization of the two-dimensional…

High Energy Physics - Theory · Physics 2024-06-05 Chi-Ming Chang , Xiaoyang Shen

The compactification from the 11-dimensional Horava-Witten orbifold to 5-dimensional heterotic M-theory on a Schoen Calabi-Yau threefold is reviewed, as is the specific $SU(4)$ vector bundle leading to the "heterotic standard model" in the…

High Energy Physics - Theory · Physics 2020-02-17 Burt A. Ovrut

We study non-interacting systems with a power-law quasiparticle dispersion $\xi_{\bf k}\propto k^\alpha$ and a random short-range-correlated potential. We show that, unlike the case of lower dimensions, for $d>2\alpha$ there exists a…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 S. V. Syzranov , V. Gurarie , L. Radzihovsky

We develop a general formalism for covariant Hamiltonian evolution of supersymmetric (field) theories by making use of the fact that these can be represented on the exterior bundle over their bosonic configuration space as generalized…

High Energy Physics - Theory · Physics 2007-05-23 Urs Schreiber

It is customary to couple a quantum system to external classical fields. One application is to couple the global symmetries of the system (including the Poincar\'{e} symmetry) to background gauge fields (and a metric for the Poincar\'{e}…

High Energy Physics - Theory · Physics 2020-01-08 Clay Cordova , Daniel S. Freed , Ho Tat Lam , Nathan Seiberg

Conformal defects describe the universal behaviors of a conformal field theory (CFT) in the presence of a boundary or more general impurities. The coupled critical system is characterized by new conformal anomalies which are analogous to,…

High Energy Physics - Theory · Physics 2022-02-23 Yifan Wang

We investigate the convergence of phase fields for the Willmore problem away from the support of a limiting measure $\mu$. For this purpose, we introduce a suitable notion of essentially uniform convergence. This mode of convergence is a…

Analysis of PDEs · Mathematics 2017-06-07 Patrick Dondl , Stephan Wojtowytsch
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