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In this work we apply the S-matrix bootstrap maximization program to the 2d bosonic O(N) integrable model which has N species of scalar particles of mass m and no bound states. Since in previous studies theories were defined by maximizing…

High Energy Physics - Theory · Physics 2018-12-05 Yifei He , Andrew Irrgang , Martin Kruczenski

This paper explores infrared quantum effects in the de Sitter space. The notion of "eternal manifolds" is introduced and it is shown that in most cases the de Sitter space doesn't belong to this class. It is unstable under small…

High Energy Physics - Theory · Physics 2008-11-26 A. M. Polyakov

Classical dynamics in SU(2) Matrix theory is investigated. A classical chaos-order transition is found. For the angular momentum small enough (even for small coupling constant) the system exhibits a chaotic behavior, for angular momentum…

High Energy Physics - Theory · Physics 2009-10-31 I. Ya. Aref'eva , A. S. Koshelev , P. B. Medvedev

A new relation between two-dimensional conformal field theories and three-dimensional topologically massive gauge theories is found, where the dynamical nature of the 3d theory is ultimately important. It is shown that the those primary…

High Energy Physics - Theory · Physics 2016-09-06 Ian I. Kogan , Alex Lewis

The $M$-dimensional unitary matrix $S(E)$, which describes scattering of waves, is a strongly fluctuating function of the energy for complex systems such as ballistic cavities, whose geometry induces chaotic ray dynamics. Its statistical…

Mathematical Physics · Physics 2017-02-21 Marcel Novaes

A formulation of nucleon-nucleon scattering is developed in which the S-matrix, rather than an effective-field theory (EFT) action, is the fundamental object. Spacetime plays no role in this description: the S-matrix is a trajectory that…

High Energy Physics - Theory · Physics 2021-08-31 Silas R. Beane , Roland C. Farrell

We study generic semilinear Schr\"odinger systems which may be written in Hamiltonian form. In the presence of a single gauge invariance, the components of a solution may exchange mass between them while preserving the total mass. We…

Analysis of PDEs · Mathematics 2019-12-23 Simão Correia , Filipe Oliveira , Jorge D. Silva

Matrix models are an important class of systems in string theory and theoretical physics, with applications to random matrix theory, quantum chaos, and black holes. Hamiltonian Monte Carlo simulations and gauge/gravity duality have been…

Quantum Physics · Physics 2026-04-16 Gavin S. Hartnett , Haoran Liao , Enrico Rinaldi

We propose a proper definition of the vacuum expectation value of the stress energy tensor $\langle 0 | T_{\mu\nu} |0 \rangle$ for integrable quantum field theories in two spacetime dimensions, which is the analog of the cosmological…

High Energy Physics - Theory · Physics 2024-03-04 André LeClair

In this note we discuss a toy model in which the value of the effective cosmological constant is associated with a symmetry properties of the vacuum background solution and defined by the model parameter associated with a scalar field…

General Relativity and Quantum Cosmology · Physics 2008-11-04 Mikhail N. Smolyakov

The near vanishing of the cosmological constant is one of the most puzzling open problems in theoretical physics. We consider a system, the so-called framid, that features a technically similar problem. Its stress-energy tensor has a…

High Energy Physics - Theory · Physics 2021-05-12 Ioanna Kourkoulou , Alberto Nicolis , Guanhao Sun

We have experimentally studied the unstable dynamics of a harmonically trapped Bose-Einstein condensate loaded into a 1D moving optical lattice. The lifetime of the condensate in such a potential exhibits a dramatic dependence on the…

Soft Condensed Matter · Physics 2009-11-10 L. Fallani , L. De Sarlo , J. E. Lye , M. Modugno , R. Saers , C. Fort , M. Inguscio

In this work, we study the analytic properties of S-matrix for unstable particles, which is defined as the residues on the unphysical sheets where unstable poles reside. We demonstrate that anomalous thresholds associated with UV physics…

High Energy Physics - Theory · Physics 2024-07-25 Katsuki Aoki , Yu-tin Huang

A quantum analysis of the vacuum Bianchi IX model is performed, focusing in particular on the chaotic nature of the system. The framework constructed here is general enough for the results to apply in the context of any theory of quantum…

General Relativity and Quantum Cosmology · Physics 2024-04-17 Martin Bojowald , David Brizuela , Paula Calizaya Cabrera , Sara F. Uria

We show that the $c=1$ bosonic string theory at finite temperature has two matrix-model realizations related by a kind of duality transformation. The first realization is the standard one given by the compactified matrix quantum mechanics…

High Energy Physics - Theory · Physics 2010-04-05 Sergei Yu. Alexandrov , Vladimir A. Kazakov , Ivan K. Kostov

We analyze the scattering problem of identical bosonic particles confined on a spherical surface. At low scattering energies and for a radius much larger than the healing length, we express the contact interaction strength in terms of the…

Quantum Gases · Physics 2022-02-25 A. Tononi

Extending our previous results on trans-Planckian ($Gs \gg \hbar$) scattering of light particles in quantum string-gravity we present a calculation of the corresponding S-matrix from the region of large impact parameters ($b \gg…

High Energy Physics - Theory · Physics 2008-11-26 D. Amati , M. Ciafaloni , G. Veneziano

The two-dimensional Ising model is the simplest model of statistical mechanics exhibiting a second order phase transition. While in absence of magnetic field it is known to be solvable on the lattice since Onsager's work of the forties,…

High Energy Physics - Theory · Physics 2009-11-10 Gesualdo Delfino

We show that for a generic quantum mechanical system with more than one open scattering channel, it is not possible to fully reconstruct the theory's S-matrix from spectral information obtained in large finite volumes with periodic boundary…

High Energy Physics - Lattice · Physics 2013-03-07 Evan Berkowitz , Thomas D. Cohen , Patrick Jefferson

We generalize the standard model of particle physics such it displays global scale invariance. The gravitational action is also suitably modified such that it respects this symmetry. This model is interesting since the cosmological constant…

Astrophysics · Physics 2009-06-23 Pankaj Jain , Subhadip Mitra , Naveen K. Singh