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A geometric picture of conformally invariant mechanics is presented. Although the standard form of the model is recovered, the careful analysis of global geometry of phase space leads to the conclusion that, in the attractive case, the…

High Energy Physics - Theory · Physics 2011-08-18 K. Andrzejewski , J. Gonera

The known fundamental symmetries and interactions are well described by the Standard Model. Features of this powerful theory, which are described but not deeper explained, are addressed in a variety of speculative models. Experimental tests…

Nuclear Experiment · Physics 2009-11-11 Klaus P. Jungmann

We examine the effects of symmetry--preserving and breaking interactions in a drive--response system where the response has an invariant symmetry in the absence of the drive. Subsequent to the onset of generalized synchronization, we find…

Chaotic Dynamics · Physics 2015-06-15 Manish Agrawal , Awadhesh Prasad , Ram Ramaswamy

Theoretical aspects of neutrino physics are reviewed, with emphasis on possible explanations of the smallness of neutrino masses and of the peculiar mixing pattern observed in the lepton sector. Some theoretically motivated frameworks, such…

High Energy Physics - Phenomenology · Physics 2008-08-07 Ferruccio Feruglio , Claudia Hagedorn , Yin Lin , Luca Merlo

We consider the symmetric and broken phases of light-front $\phi^4$ theory in two dimensions. In both cases the mass of the lowest state is computed and its dependence on the coupling used to infer critical coupling values. The structure of…

High Energy Physics - Theory · Physics 2017-03-08 J. R. Hiller

The reader surely knows what particles physics is about: finding building blocks of nature that appear elementary at a given time and study their interactions - so why in the world this essay? The problem is how to arrive at a fundamental…

High Energy Physics - Phenomenology · Physics 2025-04-21 Goran Senjanović

We study the dynamics of three particles in a finite interval, in which two light particles are separated by a heavy ``piston'', with elastic collisions between particles but inelastic collisions between the light particles and the interval…

Statistical Mechanics · Physics 2009-11-11 P. I. Hurtado , S. Redner

The study of continuous phase transitions triggered by spontaneous symmetry breaking has brought new concepts that revolutionized the way we understand many-body systems. Recently, through the discovery of symmetry protected topological…

Strongly Correlated Electrons · Physics 2015-11-25 Lokman Tsui , Fa Wang , Dung-Hai Lee

We discuss how to experimentally study the symmetry breaking sector by observing $W_L W_L \rightarrow W_L W_L$ interactions in the TeV region. We discuss some general features of the event structure in the signal and background events.…

High Energy Physics - Phenomenology · Physics 2016-11-03 C. -P. Yuan

The structure of states of the perturbed p-spin spherical spin-glass is analyzed. At low enough free energy metastable states have a supersymmetric structure, while at higher free energies the supersymmetry is broken. The transition between…

Disordered Systems and Neural Networks · Physics 2009-11-10 Alessia Annibale , Giulia Gualdi , Andrea Cavagna

An SU(2) lattice gauge theory with two doublets of complex scalar fields is considered. All continuous symmetries are identified and, using the nonperturbative methods of lattice field theory, the phase diagram is mapped out by direct…

High Energy Physics - Lattice · Physics 2010-09-02 Randy Lewis , R. M. Woloshyn

This talk provides a limited review of SUSY scenarios with the focus on the way electroweak symmetry breaking is achieved and understood under different assumptions. Various aspects of naturalness and their implications are discussed and…

High Energy Physics - Phenomenology · Physics 2017-12-14 Radovan Dermisek

We provide a brief overview into recent tests of gravity, focusing on its foundational spacetime symmetries. In particular, we work with an agnostic, effective field-theory framework, named the Standard-Model Extension, that allows for…

General Relativity and Quantum Cosmology · Physics 2023-05-24 Kellie O'Neal-Ault

An important open question in fundamental physics concerns the nature of spacetime at distance scales associated with the Planck length. The widespread belief that probing such distances necessitates Planck-energy particles has impeded…

High Energy Physics - Phenomenology · Physics 2014-04-15 Ralf Lehnert

The most important recent results in the theory of phase transitions and quantum effects in quantum anharmonic crystals are presented and discussed. In particular, necessary and sufficient conditions for a phase transition to occur at some…

Statistical Mechanics · Physics 2015-06-04 Sergio Albeverio , Yuri Kozitsky , Yuri Kondratiev , Michael Roeckner

The phenomenon of PT (parity- and time-reversal) symmetry breaking is conventionally associated with a change in the complex mode spectrum of a non-Hermitian system that marks a transition from a purely oscillatory to an exponentially…

The phase-space of a simple synchronization model is thoroughly investigated. The model considers two-mode stochastic oscillators, coupled through a pulse-like interaction controlled by simple optimization rules. A complex phase space is…

Adaptation and Self-Organizing Systems · Physics 2020-12-03 Szabolcs Horvát , Zoltán Néda

Statistical physics is used to investigate independent component analysis with polynomial contrast functions. While the replica method fails, an adapted cavity approach yields valid results. The learning curves, obtained in a suitable…

Disordered Systems and Neural Networks · Physics 2009-11-10 R. Urbanczik

I give a short review of the theory of twisted symmetries of differential equations, emphasizing geometrical aspects. Some open problems are also mentioned.

Mathematical Physics · Physics 2018-05-29 Giuseppe Gaeta