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We investigate wavepacket dynamics across supercritical barriers for the Klein-Gordon and Dirac equations. Our treatment is based on a multiple scattering expansion (MSE). For spin-0 particles, the MSE diverges, rendering invalid the use of…

Quantum Physics · Physics 2021-04-14 M. Alkhateeb , X. Gutierrez de la Cal , M. Pons , D. Sokolovski , A. Matzkin

We derive a closed-form expression for the phase shift experienced by 1+1 dimensional kinks colliding at ultra-relativistic velocities (gamma v >> 1), valid for arbitrary periodic potentials. Our closed-form expression is the leading order…

High Energy Physics - Theory · Physics 2013-12-04 Mustafa A. Amin , Eugene A. Lim , I-Sheng Yang

The relativistic analogue of the Hall-Vinen-Bekarevich-Khalatnikov (HVBK) hydrodynamics is derived making use of the phenomenological method similar to that used by Bekarevich and Khalatnikov [1] in their derivation of HVBK-hydrodynamics.…

General Relativity and Quantum Cosmology · Physics 2016-03-30 Mikhail E. Gusakov

We study a simple system that comprises all main features of critical gravitational collapse, originally discovered by Choptuik and discussed in many subsequent publications. These features include universality of phenomena, mass-scaling…

High Energy Physics - Theory · Physics 2009-10-31 V. P. Frolov , A. L. Larsen , M. Christensen

On the phase diagram of a system undergoing a continuous phase transition of the second order, three lines, hyper-surfaces, convergent into the critical point feature prominently: the ordered and disordered phases in the thermodynamic…

Statistical Mechanics · Physics 2013-07-16 A. Kashuba

Nowadays, the effect of infinite energy in the centre of mass frame due to near-horizon collisions attracts much attention.We show generality of the effect combining two seemingly completely different approaches based on properties of a…

General Relativity and Quantum Cosmology · Physics 2015-05-28 O. B. Zaslavskii

Recent work on Euclidean quantum gravity, black hole thermodynamics, and the holographic principle has seen the return of random matrix models as a powerful tool. It is explained how they allow for the study of the physics well beyond the…

High Energy Physics - Theory · Physics 2022-12-07 Clifford V. Johnson

We investigate the phase transition in a three-dimensional classical Heisenberg magnet with planar defects, i.e., disorder perfectly correlated in two dimensions. By applying a strong-disorder renormalization group, we show that the…

Statistical Mechanics · Physics 2010-04-08 Priyanka Mohan , Rajesh Narayanan , Thomas Vojta

Criticality in a fluid of dielectric constant D that exhibits Ising-type behavior is studied as additional electrostatic (i.e., ionic) interactions are turned on. An exploratory perturbative calculation is performed for small ionicity as…

Soft Condensed Matter · Physics 2009-10-31 A. G. Moreira , M. M. Telo da Gama , M. E. Fisher

We consider a system of N nonrelativistic particles of spin 1/2 interacting with the quantized Maxwell field (mass zero and spin one) in the limit when the particles have a small velocity, imposing to the interaction an ultraviolet cutoff,…

Mathematical Physics · Physics 2008-06-06 L. Tenuta

We employ a generalized Dicke model to study theoretically the quantum criticality of an extended two-level atomic ensemble interacting with a single-mode quantized light field. Effective Hamiltonians are derived and diagonalized to…

Quantum Physics · Physics 2007-10-01 Yong Li , Z. D. Wang , C. P. Sun

With in the extended thermodynamics, we study the efficiency $\eta_k$ of critical heat engines for charged black holes in massive gravity for spherical ($k=1$), flat ($k=0$) and hyperbolic ($k=-1$) topologies. Although, $\eta_k$ is in…

High Energy Physics - Theory · Physics 2020-10-06 Pavan Kumar Yerra , Chandrasekhar Bhamidipati

We review results concerning the critical behavior of spin systems at equilibrium. We consider the Ising and the general O($N$)-symmetric universality classes, including the $N\to 0$ limit that describes the critical behavior of…

Statistical Mechanics · Physics 2008-11-26 Andrea Pelissetto , Ettore Vicari

We study the pion velocity at the critical temperature of chiral symmetry restoration in QCD. Starting from the premise that the bare effective field theory is to be defined from the underlying QCD, we incorporate the effects of Lorentz…

High Energy Physics - Phenomenology · Physics 2009-11-10 Chihiro Sasaki

We prove that certain non-exact magnetic Hamiltonian systems on products of closed hyperbolic surfaces and with a potential function of large oscillation admit non-constant contractible periodic solutions of energy below the Ma\~n\'e…

Symplectic Geometry · Mathematics 2020-08-17 Youngjin Bae , Kevin Wiegand , Kai Zehmisch

Spatiotemporal quenches are efficient at preparing ground states of critical Hamiltonians that have emergent low-energy descriptions with Lorentz invariance. The critical transverse field Ising model with nearest neighbor interactions, for…

Quantum Gases · Physics 2023-08-09 Simon Bernier , Kartiek Agarwal

In the present work we explore the interaction of a one-dimensional kink-like front of the sine-Gordon equation moving in 2-dimensional spatial domains. We develop an effective equation describing the kink motion, characterizing its center…

Pattern Formation and Solitons · Physics 2025-02-14 Jacek Gatlik , Tomasz Dobrowolski , Panayotis G. Kevrekidis

Distinguishing different subphases in the supercritical region is a fundamental issue in statistical physics and condensed matter physics. Traditional approaches mainly rely on static thermodynamic response functions or equilibrium…

Statistical Mechanics · Physics 2026-04-16 Zi-Qiang Zhao , Zhang-Yu Nie , Jing-Fei Zhang , Xin Zhang

Warped configurations admitting pairs of gravitating defects are analyzed. After devising a general method for the construction of multidefects, specific examples are presented in the case of higher-dimensional Einstein-Hilbert gravity. The…

High Energy Physics - Theory · Physics 2008-11-26 Massimo Giovannini

We present an analytic study of the finite size effects in Sine--Gordon model, based on the semiclassical quantization of an appropriate kink background defined on a cylindrical geometry. The quasi--periodic kink is realized as an elliptic…

High Energy Physics - Theory · Physics 2009-11-10 G. Mussardo , V. Riva , G. Sotkov