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Spontaneous symmetry-breaking in phase transitions occurs when the system Hamiltonian is symmetric under a certain transformation, but the equilibrium states observed in nature are not. Here, we prove that when a discrete symmetry is…

Quantum Physics · Physics 2024-12-13 Ángel L. Corps , Armando Relaño

We study evolution of manifolds after their creation at high energies. Several kinds of gravitational Lagrangians with higher derivatives are considered. It is shown analytically and confirmed numerically that an asymptotic growth of the…

General Relativity and Quantum Cosmology · Physics 2019-12-30 Yana Lyakhova , Arkady A. Popov , Sergey G. Rubin

Contrary to the widespread belief, the problem of the emergence of classical mechanics from quantum mechanics is still open. In spite of many results on the $\h \to 0$ asymptotics, it is not yet clear how to explain within standard quantum…

Quantum Physics · Physics 2007-05-23 Valia Allori , Nino Zangh\`ı

We examine some kinds of discrete symmetries which are dynamically preserved, using the (generalized) Gowdy models of the first kind.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Masayuki Tanimoto

Protection of topological surface states by reflection symmetry breaks down when the boundary of the sample is misaligned with one of the high symmetry planes of the crystal. We demonstrate that this limitation is removed in amorphous…

Mesoscale and Nanoscale Physics · Physics 2021-08-10 Helene Spring , Anton R. Akhmerov , Daniel Varjas

The general concept of symmetry is realized in manifold ways in different realms of reality, such as plants, animals, minerals, mathematical objects or human artefacts in literature, fine arts and society. In order to arrive at a common…

History and Philosophy of Physics · Physics 2021-07-01 Hartmann Römer

The solution of problems in physics is often facilitated by a change of variables. In this work we present neural transformations to learn symmetries of Hamiltonian mechanical systems. Maintaining the Hamiltonian structure requires novel…

Computational Physics · Physics 2019-06-12 Roberto Bondesan , Austen Lamacraft

We review the broad variety of methods that have been proposed for anomaly detection in images. Most methods found in the literature have in mind a particular application. Yet we show that the methods can be classified mainly by the…

Computer Vision and Pattern Recognition · Computer Science 2019-06-04 Thibaud Ehret , Axel Davy , Jean-Michel Morel , Mauricio Delbracio

The interplay between the diffeomorphism and conformal symmetries (a feature common in quantum field theories) is shown to be exhibited for the case of black holes in two dimensional classical Liouville theory. We show that although the…

High Energy Physics - Theory · Physics 2010-12-17 Rabin Banerjee , Sunandan Gangopadhyay , Shailesh Kulkarni

We address an anomaly detection setting in which training sequences are unavailable and anomalies are scored independently of temporal ordering. Current algorithms in anomaly detection are based on the classical density estimation approach…

Computer Vision and Pattern Recognition · Computer Science 2016-09-29 Allison Del Giorno , J. Andrew Bagnell , Martial Hebert

Globally-constrained classical fields provide a unexplored framework for modeling quantum phenomena, including apparent particle-like behavior. By allowing controllable constraints on unknown past fields, these models are retrocausal but…

Quantum Physics · Physics 2018-07-04 Ken Wharton

The antifield formalism is extended so as to incorporate the rigid symmetries of a given theory. To that end, it is necessary to introduce global ghosts not only for the given rigid symmetries, but also for all the higher order conservation…

High Energy Physics - Theory · Physics 2016-08-15 Friedemann Brandt , Marc Henneaux , André Wilch

We study generalized symmetries in a simplified arena in which the usual quantum field theories of physics are replaced with topological field theories and the smooth structure with which the symmetry groups of physics are usually endowed…

High Energy Physics - Theory · Physics 2023-03-29 Ben Gripaios , Oscar Randal-Williams , Joseph Tooby-Smith

We present a new algorithm for anomaly detection called Anomaly Awareness. The algorithm learns about normal events while being made aware of the anomalies through a modification of the cost function. We show how this method works in…

Machine Learning · Computer Science 2023-08-02 Charanjit K. Khosa , Veronica Sanz

The scalar field is quantized in the discretized light-front framework following the {\em standard} Dirac procedure and its infinite volume limit taken. The background field and the nonzero mode variables do not commute for finite volume;…

High Energy Physics - Theory · Physics 2007-05-23 Prem P. Srivastava

When several inequivalent supercharges form a closed superalgebra in Quantum Mechanics it entails the appearance of hidden symmetries of a Super-Hamiltonian. We examine this problem in one-dimensional QM for the case of periodic potentials…

High Energy Physics - Theory · Physics 2009-09-10 Alexander A. Andrianov , Andrey V. Sokolov

We introduce a framework for internal topological symmetries in quantum field theory, including "noninvertible symmetries" and "categorical symmetries". This leads to a calculus of topological defects which takes full advantage of…

High Energy Physics - Theory · Physics 2024-08-01 Daniel S. Freed , Gregory W. Moore , Constantin Teleman

Inspired by the concept of complementarity, we present a illustrative model for the weak interactions with unbroken gauge symmetry and unbroken supersymmetry. The observable particles are bound states of some more fundamental particles.…

High Energy Physics - Theory · Physics 2009-10-31 X. Calmet

We explore how the asymptotic structure of a random permutation of $[n]$ with $m$ inversions evolves, as $m$ increases, establishing thresholds for the appearance and disappearance of any classical, consecutive or vincular pattern. The…

Combinatorics · Mathematics 2024-08-13 David Bevan , Dan Threlfall

A field-enlarging transformation in the chiral electrodynamics is performed. This introduces an additional gauge symmetry to the model that is unitary and anomaly-free and allows for comparison of different models discussed in the…

High Energy Physics - Theory · Physics 2015-06-26 Jan Sladkowski